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<url><loc>https://alphabetamath.cc/item/lem-compact-wavelet-projection-kernel-and-commutator</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactified-unstable-manifolds-give-a-cw-decomposition</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-generated-lca-group-with-no-open-subgroup-of-infinite-index-splits-as-compact-times-euclidean</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-supported-continuous-functions-are-translation-continuous-in-l-p</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-supported-covariant-generators-are-dense</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-supported-distributions-extend-to-smooth-functions</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-supported-h1-belongs-to-h-zero</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-supported-kernels-admit-commuting-radon-integrals</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-supported-riemann-integral-is-well-defined</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactly-supported-top-cohomology-propagates-across-overlapping-oriented-coordinate-balls</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactness-allows-a-cutoff-to-produce-a-compactly-supported-time-dependent-field</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactness-is-intrinsic</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compactness-of-a-subspace-is-ambient</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-companion-powers-bounded-under-root-condition</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-comparison-map-from-an-exact-complex-into-an-injective-resolution</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-comparison-maps-between-homology-theories-extend-over-one-skeleton-stage</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-arbitrary-pi-fence-reduction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-connections-exist-on-smooth-hermitian-and-euclidean-bundles</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-local-orientation-classes-exist-over-compact-subsets</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-normal-disk-boundary-paths-have-a-unique-type-preserving-switch</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-normal-surfaces-admit-finite-circle-free-tetrahedral-position</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-normal-vectors-admit-original-triangulation-regular-sum-diagrams</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-refinement-for-tuple-indexed-coverings</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-signs-exist-on-the-bruhat-graph</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-smooth-simplex-faces-have-a-neighbourhood-extension</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-tuples-form-a-subgroup</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compatible-well-founded-recursion-attempts</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compensated-band-kinks-decompose-into-ordinary-markov-moves</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-competing-exponential-race-for-reaction-channels</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complement-commutes-with-induced-subgraphs</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complement-swaps-cliques-and-stable-sets</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complementation-preserves-disjoint-regular-pairs</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-coderivations-form-a-filtered-differential-graded-lie-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-connected-scheme-to-affine-scheme-morphism-is-constant</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-connection-of-perfect-graphs-is-perfect</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-curvature-minus-one-manifolds-are-kleinian-quotients</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-henkin-theory-truth-rules</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-homogeneous-expansion-in-power-sums</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-intersection-hilbert-series-two-plane-forms</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-linear-blowup-reductions-compose</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-local-finite-etale-algebra-lifting</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-local-hecke-modular-systems-and-idempotent-lifting</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-normal-surface-regular-resolution-converts-to-normalized-point-blowups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-ordered-field-is-archimedean</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-reducibility-reduces-to-codimension-one-simple-submodules</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-regular-surface-degree-p-extension-has-bounded-h1</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-regularity-is-hereditary</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-remetrisation</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complete-subspace-is-closed</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completed-fourfold-graded-cohomology-ring-laws-and-naturality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completed-measure-is-well-defined</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completely-regular-topologies-come-from-continuous-pseudometrics</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completion-automorphisms-for-tangent-directions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completion-domain-is-a-sigma-algebra</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completion-operations-are-well-defined</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completion-preserves-embedding-dimension</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completion-preserves-regular-sequences</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-completion-reflects-depth</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-affine-group-comodule-local-finiteness</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-algebraic-boundary-points-admit-normalized-curve-arcs</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-algebraic-groups-are-smooth</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-algebraic-morphisms-admit-compatible-finite-smooth-stratifications</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-algebraic-stratifications-have-finite-conical-cochain-models</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-circle-measures-have-finite-total-variation-under-countable-choice</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-conjugation-and-modulus-laws</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-coordinate-l1-is-a-norm</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-exponential-series-converges-everywhere</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-flag-splitting-over-smooth-bases-with-injective-real-pullback</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-gaussian-interference-entropy-estimates</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-haar-l1-and-l2-are-complete-and-cc-dense</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-hermitian-eigenvalue-perturbation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-hermitian-eigenvalues-lipschitz</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-hermitian-inertia-congruence</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-hermitian-realification-identities</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-hermitian-toeplitz-reflection-recursion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-hessian-domination-at-a-common-minimum</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-infinity-matrix-norm-submultiplicative</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-infinity-neumann-inverse-norm-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-integration-by-parts-on-intervals-and-decaying-lines</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-l-one-functionals-on-finite-measure-spaces-have-bounded-densities</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-linear-real-differential-criterion</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-lp-completeness-density-and-inner-product</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-lp-duality-from-real-lp-duality</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-lq-norm-from-finite-simple-dual-tests</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-modulus-of-real-embedding-equals-real-absolute-value</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-multinomial-theorem</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-norm-realification-is-a-real-norm</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-normed-subspace-realifies-to-real-normed-subspace</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-orientation-of-underlying-real-bundles</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-oriented-diagonal-thom-class-realizes-the-six-functor-exchange-on-supports</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-polynomial-growth-and-minimum-modulus</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-power-series-reexpansion-double-series</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-projector-tangent-commutator-curves</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-quadratic-form-fourth-moment-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-sample-covariance-norm-bound-from-real-edge</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-scalar-gaussian-maximum-differential-entropy</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-scaled-householder-step-termination-and-status</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-specht-modules-are-self-dual</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-stratified-morse-data-have-tangential-normal-product-and-link-description</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-tautological-euler-class-restricts-to-the-projective-fiber-generator</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-time-heat-kernel-is-lone-differentiable-in-its-parameter</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complex-translation-and-approximate-identity-interfaces</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-complexified-tautological-line-resolves-real-projective-k-theory-extensions</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-components-are-anticomplete-and-anticomponents-complete</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-components-of-the-frame-bundle-of-a-connected-manifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composite-finite-proper-morphism-proper</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composite-midpoint-panel-error-kernel</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composite-simpson-asymptotic-error-expansion</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composites-of-coarse-lipschitz-maps-and-of-quasi-isometric-embeddings</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composition-and-identity-linear-maps</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composition-of-homotopy-classes-is-well-defined</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composition-of-quotient-integrals-for-subgroup-chains</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composition-of-roofs-is-well-defined</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composition-operator-norm-inequality</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composition-preserves-perfect-completeness</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-composition-transfers-rejection-ratio</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compositions-with-a-compact-operator-are-compact</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compressible-admissible-state-set-open-convex</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compressible-ideal-gas-entropy-pair-and-variables</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compressible-viscous-flux-entropy-variable-factorization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compressible-viscous-smooth-entropy-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compression-binomial-sum-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-computation-history-domino-encoding</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-computation-words-agree-with-published-finite-words</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-computed-augmented-tikhonov-solve-residual-and-output-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-computed-sensitivity-singular-value-perturbation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-concatenated-code-multiplies-rate-and-distance</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-concatenation-test-enforces-a-shared-prefix</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-concave-support-regular-blockade-contains-rooted-tree</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-concordance-annulus-induces-zero-surgery-cobordism</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-expectation-constructs-the-inner-code-in-polynomial-time</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-expectation-is-unique-almost-surely</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-expectation-process-is-a-martingale</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-hoeffding-bound-for-bounded-martingale-differences</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-independence-equivalences-and-preservation</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-independence-integrable-factorization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-independence-splicing-over-a-standard-borel-variable</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-independence-under-kernel-extension-and-conditioning</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-independent-block-bootstrap-clt</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-intensity-interevent-survival-and-density</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-kernel-tail-and-atom-evaluations-are-measurable</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-mixture-is-a-probability-path</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-subgaussian-exponential-process</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-to-marginal-continuity-equation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-treatment-indicator-factorization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditional-variance-is-well-defined-and-has-the-second-moment-formula</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditioning-a-known-state-and-independent-noise</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conditioning-a-known-variable-and-an-independent-variable</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conductor-ideal-common-ideal</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cone-sites-admit-stable-polynomial-norming-stencils</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cone-triangles-satisfy-the-octahedral-axiom</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cone-triangles-satisfy-tr-one</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cone-triangles-satisfy-tr-three</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cone-triangles-satisfy-tr-two-with-the-declared-rotation-sign</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-configuration-loops-admit-smooth-separated-point-motion-representatives</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conformal-removability-is-quasiconformally-invariant</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conforming-energy-projection-is-best-approximation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conforming-galerkin-ritz-matrix-error-is-quadratic-in-gap</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-congruence-is-an-equivalence-relation</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-congruence-respects-integer-arithmetic</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugacy-class-splitting-over-an-index-two-normal-subgroup</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugacy-of-cyclically-britton-reduced-hnn-words-reduces-to-associated-subgroup-conjugacy</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugate-dirichlet-kernel-and-principal-value-formula</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugate-specht-sign-duality-over-fields</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugate-transpose-kernels-give-adjoints</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugates-of-an-average-of-roots-of-unity-are-averages-of-roots-of-unity</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugating-a-cycle-relabels-its-entries</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugation-by-delta-reverses-artin-generators</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugation-orbits-of-finite-rank-operators-are-norm-continuous</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conjugation-reverses-dominance</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-alternating-link-is-nonsplit</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-cover-of-punctured-disc-for-irreducible-plane-curve</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-covers-of-smooth-manifolds-have-a-canonical-smooth-structure</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-diagram-bracket-span-bound-and-alternating-equality</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-graded-bialgebra-has-a-recursive-antipode</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-groups-of-rank-zero-are-unipotent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-normal-surface-chi-one-is-disk</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-plane-multigraph-euler-formula</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-projection-has-connected-tait-graphs</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-regular-link-diagram-has-checkerboard-coloring</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-spherical-complement-implies-null-homology</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-subsets-and-separated-sets</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-connected-sum-of-oriented-homotopy-spheres-is-a-homotopy-sphere</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-consistent-sentence-decision</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constant-rank-source-coordinate-map-is-locally-invertible</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constant-rank-tail-components-ignore-kernel-coordinates</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constant-scale-restricted-generalized-niceness-yields-an-x-scale-restricted-subgraph-a-polynomial-clique-or-stable-set-or-a-blockade</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constant-scale-restricted-property-star-yields-a-restricted-subgraph-a-polynomial-clique-or-stable-set-or-two-blockade-alternatives</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constant-sheaf-is-the-sheaf-of-locally-constant-functions</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constant-sheaf-on-irreducible-space-is-flasque</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constant-vector-is-a-top-eigenvector</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constituent-multiplicities-under-a-semisimple-endomorphism-algebra</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constraint-expander-overlay</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constructible-boolean-operations</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constructible-dense-contains-open</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-constructible-stable-generalisation-open</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contact-equivalence-is-chart-independent-and-an-equivalence-relation</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-content-divisibility-characterisation</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-content-zero-implies-null</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contiguous-simplicial-maps-have-homotopic-realizations</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuation-energy-identity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuation-map-of-constant-data-is-the-identity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuation-solutions-have-critical-limits</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continued-fraction-complete-quotient-formula</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continued-fraction-convergent-recurrence</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continued-fraction-determinant-identity</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continued-fraction-error-bound</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuity-criteria-for-unitary-representations</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuity-is-local-and-pastes</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-adapted-process-at-bounded-stopping-time</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-characters-of-the-real-line-are-exponentials</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-characters-separate-points-of-an-lca-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-coagulation-fragmentation-local-positive-wellposedness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-coagulation-fragmentation-vector-field-locally-lipschitz</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-coagulation-operator-weighted-total-variation-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-compactly-supported-functions-differentiate-by-ball-averages</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-convolution-operators-are-hilbert-schmidt-and-compact</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-finite-dimensional-representations-of-a-product-of-finite-groups-factor-through-a-finite-subproduct</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-finite-dimensional-representations-of-profinite-groups-factor-through-finite-quotients</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-finite-variation-martingale-is-zero</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-fractional-integral-is-holder</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-fragmentation-operator-weighted-total-variation-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-function-holomorphic-off-a-point-is-holomorphic</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-functional-calculus-produces-a-regular-pvm</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-functions-dense-in-lp-for-compactly-supported-finite-borel-measures</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-functions-determine-borel-probabilities-on-compact-metric-spaces</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-functions-on-a-compact-metric-space-have-a-countable-dense-family</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-functions-on-omega-one-plus-one-are-eventually-constant</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-functions-riemann-integrable</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-gauge-of-an-open-convex-zero-neighborhood</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-images-of-universal-nets-are-universal</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-kernel-integral-operator-is-compact-on-c</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-local-martingale-quadratic-variation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-one-handle-surgery-replacement-gives-relative-kirby-moves</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-path-space-is-polish</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-periodic-functions-are-dense-in-l-p-of-finite-tori</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-predictable-bracket-uniqueness</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuous-riemann-lebesgue-agreement</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-continuum-sized-almost-disjoint-family-on-omega</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contour-definition-of-an-analytic-semigroup</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contour-integral-commutes-with-bounded-linear-maps</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contour-subdivision-into-discs-missing-a-point</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contracted-curve-count-decreases-under-a-point-blowup-factorization</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contractibility-implies-trivial-fundamental-group</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contractible-cosimplicial-evaluation-computes-derived-colimit</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contraction-is-independent-of-the-basis-formula</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contraction-recovers-primary-component-after-localising-away-from-radical</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contraction-torsion-is-independent-of-the-contracting-homotopy</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contrastive-class-collision-deviation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contrastive-empirical-minimizer-excess</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contrastive-hinge-and-logistic-loss-properties</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-contrastive-uniform-generalization</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-controlled-nested-horn-construction-embeds-a-closed-three-ball</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-controlled-stratified-submersions-have-continuous-local-trivializations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-controlled-transform-is-well-defined</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convergence-in-the-pointwise-topology</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convergent-filters-are-cauchy</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convergent-implies-bounded</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convergent-implies-cauchy</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convergent-power-series-termwise-differentiation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-entropy-condition-for-a-shock-is-the-flux-chord-inequality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-function-bound-on-an-interior-cube</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-functions-have-countable-supporting-line-representations</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-generator-boundary-limits-exist</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-gradient-step-nonexpansive</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-mixture-of-probability-laws</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-norm-lower-semicontinuous-functionals-are-weakly-lower-semicontinuous</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-perspective-is-subadditive</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-set-and-closure-have-same-interior-and-boundary</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-smooth-component-gradient-cocoercivity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convex-windows-admit-rectangle-approximations-and-are-folner</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convolution-is-independent-of-the-chosen-borel-representatives</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convolution-of-distributions-is-well-defined-under-the-support-hypothesis</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-convolution-preserves-cc-and-is-associative</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conway-knot-alexander-polynomial-one</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conway-polynomial-from-seifert-determinant</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-conway-seifert-surface-and-matrix</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cook-levin-can-be-made-parsimonious</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cook-levin-formula-is-satisfiable-iff-acceptance-occurs</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cook-levin-map-is-polynomial-time</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-ball-classes-identify-local-homology-stalks</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-balls-form-a-basis-of-a-topological-manifold</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-block-smoothness-descent-model</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-change-congruence-for-the-critical-hessian</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-derivations-are-well-defined-derivations</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-direction-form-of-the-slobodeckij-seminorm</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-lasso-soft-threshold-update</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-maps-and-permutations-are-measurable-on-finite-products</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-ring-of-affine-group-scheme-is-a-hopf-algebra</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-scalings-and-permutations-scale-the-unit-cube-by-the-absolute-determinant</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-separable-penalty-is-proper-closed-convex</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinate-telescoping-on-a-euclidean-ball</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinatewise-addition-and-negation-make-zp-a-topological-abelian-group</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coordinatewise-minimum-implies-composite-stationarity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-copower-presentation-construction-is-left-adjoint-to-generator-hom</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-criterion</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-cyclic-pid-quotients-split</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-discriminant-compositum-integral-basis</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-divides-product</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-factor-bezout-lift</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-kernel-decomposition</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-plane-forms-form-a-homogeneous-regular-sequence</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-polynomial-factorization-lifts-etale-locally</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coprime-primitive-two-square-products-remain-primitive</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coproduct-preserves-the-positive-and-negative-quantum-serre-ideals</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-core-is-largest-normal-subgroup-contained</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-corestriction-after-bar-transfer-is-index-multiplication-on-homology</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-corestriction-is-independent-of-the-coset-representatives</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-corner-adapted-strong-approximations-remain-in-the-same-orthant</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-corson-ordered-urysohn-automorphism-group-is-extremely-amenable</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-corson-rational-metric-not-metacompact</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-corson-stone-obstruction-is-ordinal-boundable</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coset-equinumerous-with-subgroup</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coset-membership-and-equality</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coset-partition</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cost-constrained-dmc-achievability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cost-constrained-dmc-information-capacity-properties</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cost-constrained-dmc-mutual-information-under-average-cost</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cost-pruned-random-code</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cotangent-complex-h0-and-polynomial-case</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cotangent-complex-resolution-independence</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cotangent-complex-truncation-and-smooth-case</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cotangent-coordinate-changes-use-the-inverse-transpose-jacobian</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cotangent-localization-at-rational-point</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cotlar-inequality-for-maximal-truncations</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-boolean-algebra-prime-ideal-compactness-tree</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-borel-hierarchy-exhaustion-and-pullbacks</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-boundary-coordinate-cover-has-locally-finite-shrinking</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-boundary-null-partitions-of-a-separable-metric-space</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-bounded-multiset-sum-encoding</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-choice-sequence-and-product-formulations-are-equivalent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-compactly-supported-tests-determine-euclidean-weak-convergence</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-discrete-space-is-standard-borel</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-generators-yield-countable-set-algebras</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-henkin-syntax-coding</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-iff-surjection-from-n</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-iid-baseb-digits-from-one-uniform</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-intersection-of-completely-metrizable-subspaces</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-intersections-of-club-subsets-of-omega-one-are-club</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-local-bases-can-be-open-and-decreasing</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-mode-car-fock-representation-is-irreducible</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-mode-car-particle-hole-automorphism</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-normal-tree-cofinal-branch</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-countable-norming-family-determines-borel-laws</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-cyclotomic-klr-dot-annihilators-and-finite-root-strings</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cyclotomic-klr-induction-restriction-bimodules-have-compatible-frobenius-dual-bases</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cyclotomic-klr-partial-frobenius-caps-satisfy-two-color-terminal-contractions</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-cyclotomic-normalized-functors-give-an-integrable-quantum-action</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-cyclotomic-schur-weight-gram-determinants-are-products-of-monic-semistandard-norms</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-cyclotomic-semistandard-sums-give-schur-endomorphism-basis</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cyk-table-invariant</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cylinder-premeasure-from-consistent-finite-dimensional-laws-is-well-defined</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cylinder-sigma-events-depend-on-countably-many-coordinates</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cylinders-give-reflexivity-of-cobordism</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dagger-mixture-occupancy</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-daha-a1-polynomial-operators-satisfy-presentation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dalembert-minimum-modulus-descent</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dbar-solvability-criterion-for-a-smooth-zero-one-form</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-de-rham-integration-respects-wedge-and-cup-in-cohomology</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-de-rham-mayer-vietoris-with-boundary-and-an-explicit-partition-lift</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dehn-replacement-strictly-shortens-a-word</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-deleted-row-minors-of-a-matrix-with-zero-column-sums</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-deletion-of-one-point-is-measurable</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-deligne-splitting-of-a-mixed-hodge-structure</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dense-cube-polynomial-norming-and-reproduction</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-density-gaussian-bridge-is-borel-on-m0w</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-density-normal-laws-and-square-summable-gaussian-series</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dependent-choice-implies-countable-choice</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dependent-iff-a-vector-lies-in-the-span-of-the-others</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-depth-acyclicity-highest-homology</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-depth-at-a-prime-bounded-by-local-dimension</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-depth-bounded-by-associated-prime-quotient-dimension</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-depth-infinity-when-ideal-acts-surjectively</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-depth-lemma-lower-bound-left</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-depth-lemma-lower-bound-middle</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-depth-lemma-lower-bound-right</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-derivative-algebra-and-chain-rules</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-derived-and-integrated-power-series-have-the-same-radius</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dft-squares-to-reflection-and-has-fourth-power-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-diagonal-adagrad-subproblem-well-defined</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-diagonal-affine-variety-cut-out-by-coordinate-differences</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-diagonal-base-change-identification</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-diagonal-class-expansion-gives-the-alternating-trace</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-differential-of-morphism-via-cotangent-map</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-differential-of-the-moment-map-and-orbit-orthogonal-identity</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dirichlet-process-simplex-small-ball</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disc-hardy-traces-and-szego-reproducing</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disconnected-link-diagram-represents-a-split-link</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disconnected-projection-components-separated-by-jordan-curve</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discounted-occupancy-change-bounded-by-average-tv</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-families-are-locally-finite</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-form-perturbation-preserves-coercivity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-memoryless-channel-average-to-maximal-expurgation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-memoryless-channel-block-kernels-are-stochastic</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-memoryless-channel-capacity-achieving-output-divergence-bound</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-memoryless-channel-capacity-is-attained</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-memoryless-channel-iid-information-density-converges</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-memoryless-channel-information-density-concentration</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-memoryless-channel-n-letter-information-bound</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-one-step-error-recurrence-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-sequence-spaces-are-complete-in-zf</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-subgroups-of-real-vector-spaces-are-lattices</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discrete-summation-by-parts-poincare-and-inverse-bound</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discriminant-change-of-basis</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discriminant-detects-etaleness-of-finite-free-algebra</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-discriminant-is-a-nonvanishing-cusp-form</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disjoint-coordinate-neighborhoods-evenly-cover-unordered-configurations</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disjoint-cycles-commute</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disjoint-modules-are-a-pure-pair</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disjoint-union-of-framed-cobordisms-is-a-framed-cobordism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disjoint-union-of-perfect-graphs-is-perfect</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disjointification-of-an-algebra-cover</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disk-bundle-intersection-form-and-signature-for-xi-h-j</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-disk-pair-cohomology-over-an-arbitrary-commutative-ring</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-displacement-generator-update-under-scalar-schur-elimination</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distance-to-set-is-lipschitz</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distant-soergel-generators-commute</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinct-characters-are-linearly-independent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinct-components-commute</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinct-cyclotomic-shears-give-integrable-based-sl-two-chains</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinct-minimal-normal-subgroups-centralize-one-another</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinct-normal-sylow-subgroups-commute</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinct-verma-weight-spaces-are-shapovalov-orthogonal</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinguished-open-refinement-at-a-point</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinguished-opens-cover-every-open</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinguished-subset-cover-detects-radical</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distinguished-subset-identities</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distributed-delay-midpoint-error-split</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distribution-pairing-with-smooth-parameter-families</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distribution-with-vanishing-highest-derivative-is-polynomial</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distributional-derivatives-commute-with-convolution-against-test-functions</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-distributional-laplacian-commutes-with-mollification</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divergence-and-curl-are-linear-and-obey-the-scalar-product-rules</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divergence-form-identity</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divided-difference-lagrange-formula-and-symmetry</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divided-difference-repeated-rolle-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divided-power-and-toral-quantum-binomial-reordering-identities</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divided-power-half-has-integral-skew-string-coefficients</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divisibility-basic</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divisibility-poset-is-lower-finite-and-factorises</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divisibility-via-valuations</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divisor-bound</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divisor-decomposition-positive-negative-points</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-divisor-order-monotonicity-sections</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dixmiers-lemma-for-countable-dimensional-algebras</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dixon-entire-gluing</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dj-bridge-integral-murphy-and-polytabloid-straightening</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dj-bridge-murphy-cellular-basis-and-cell-form</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dj-bridge-parabolic-double-coset-annihilation</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dj-bridge-permutation-form-invariance-and-restriction</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dj-bridge-row-permutation-module-standard-action</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dj-bridge-sign-automorphism-and-star-dual</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dj-bridge-theta-transport-of-the-cellular-structure</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dobrushin-contraction-from-density-ratios</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dobrushin-zero-sum-l1-coefficient</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dolbeault-green-operator-is-compact-on-the-orthogonal-complement-of-the-kernel</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-domain-cancellation</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominance-is-necessary-for-an-integrable-highest-weight-module</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-affine-image-contains-principal-open</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-affine-map-normalization-over-open</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-characters-arise-as-primitive-weights-for-split-reductive-groups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-characters-of-products-of-tori-and-split-semisimple-groups-arise-as-primitive-weights</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-characters-of-split-semisimple-groups-arise-as-primitive-weights</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-integral-dot-translates-embed-in-the-verma-module</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-map-generic-differential-surjectivity-char-zero</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-map-pullback-function-fields</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-norm-distance-comparison</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominant-weights-are-maxima-of-their-weyl-orbits</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dominated-positive-type-functions-give-positive-commutant-contractions</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-donaldson-reducible-ends-and-one-instanton-compactification</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-doob-martingale-differences-inherit-coordinate-oscillations</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-doob-upcrossing-inequality</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-bar-comparison-for-cyclic-bimodule-tensor-products</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-branched-cover-homology-from-seifert-matrix</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-branched-cover-of-an-oriented-link-well-defined</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-cover-branched-over-a-slice-disk-is-a-rational-homology-ball</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-cover-of-two-arc-rational-tangle-is-solid-torus</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-exponential-truncated-tail-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-plus-simple-cubic-rational-surface-branch-terminates</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-double-point-locus-has-expected-dimension-two-m-minus-n</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-doubling-variables-maximum-localisation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-douglas-rachford-map-is-firmly-nonexpansive</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dovetailing-reaches-every-finite-stage</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dp-approximate-kernel-purification</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dp-joint-measure-purification</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dp-pure-privacy-loss-kl-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dp-test-function-extension</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dpdas-have-unique-computations</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-drift-sublevel-union-is-petite</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-activation-normalizer-finite-positive</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-conditional-loss-contraction-under-gram-control</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-initial-output-gaussian-concentration</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-local-pl-descent-and-path-length</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-neighborhood-gram-and-hessian-control</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-output-gradient-gram-update-identity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-population-gram-kernels-are-finite-symmetric-psd</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-du-simultaneous-initialization-event</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-ball-as-a-closed-subset-of-a-product</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-compact-sets-give-a-neighbourhood-basis-on-the-original-lca-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-homomorphisms-are-continuous-and-functorial</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-identity-neighbourhood-is-compact</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-knuth-star-operations-give-antiparallel-kazhdan-lusztig-graph-edges</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-locally-free-and-base-change</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-of-zd-is-torus</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dual-pairing-between-opposite-principal-series-parameters</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-duality-eliminates-top-and-cotop-handles</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-duality-extends-from-two-open-sets-to-finite-unions-of-coordinate-balls</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-duals-of-finite-products-and-discrete-direct-sums</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-duffy-reference-map-jacobian-and-image</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dunford-contour-construction-satisfies-the-semigroup-law</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dvoretzky-rogers-finite-block-estimate</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dvr-cellular-jantzen-filtration-and-gram-valuation</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-cell-average-projections-converge-in-l2</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-coding-coin-measure-and-lebesgue-transfer</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-cube-values-are-forced-by-translation-invariance-and-normalisation</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-cubes-all-generations-partition-and-nesting</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-cubes-of-one-generation-partition-rn</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-determinant-integer-clearance-preserves-sign</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-fourier-coefficient-square-sum-bound-for-holder-functions</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-level-set-summability-estimate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-dyadic-pieces-are-uniform-mihlin-multipliers-and-lp-bounded</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyadic-pieces-have-annular-support-and-uniform-kernel-bounds</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dyck-paths-of-a-given-semilength-form-a-finite-set</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-dynkin-diagrams-of-irreducible-finite-root-systems-are-trees-with-controlled-branching</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-e-overlap-classes-form-an-anticonnected-partition</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-e-overlap-quotient-iteration-terminates-at-a-pure-blockade</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-e2-transformation-law</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-each-artin-atom-divides-delta-on-both-sides</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-each-feferman-levy-real-layer-is-countable</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-each-kostant-extremal-harmonic-space-is-one-dimensional</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-easton-class-generic-model-satisfies-zfc</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-easton-class-replacement</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-easton-class-separation-and-power-set</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-easton-head-cardinality-and-name-count</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-easton-head-cc-and-tail-closure</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-easton-head-tail-no-new-short-sequences</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-eberlein-smulian-metrization-on-the-relevant-dual-ball</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-edge-addition-to-a-tree</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-edge-connectivity-at-most-minimum-degree</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-edge-deletion-in-a-tree</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-edge-homomorphisms-are-natural</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-edge-is-a-bridge-iff-it-lies-on-no-cycle</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-edge-maps-of-a-bounded-skeletal-ahss</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-edge-maximal-kuratowski-free-is-three-connected</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-effective-cartier-divisor-has-no-embedded-associated-primes</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-eigenbasis-expansion-in-the-form-norm</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-elementary-hnn-reductions-preserve-the-represented-element</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-elementary-power-series-converge-uniformly-on-bounded-sets</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-elliptic-form-is-well-defined-and-bounded</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-elliptic-resolvent-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-elliptic-state-map-c1-under-uniform-coercivity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-empirical-bayes-radius-bias-and-noise-comparison</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-empirical-measure-is-a-probability-measure</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-empirical-process-asymptotic-equicontinuity-from-bracketing-entropy</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-endpoints-in-a-short-exact-sequence</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-energy-identity-on-a-truncated-wave-cone</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-every-central-character-of-the-enveloping-algebra-arises-from-a-weight</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-conjugacy-class-contains-a-cyclically-britton-reduced-word</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-ext-one-class-is-represented-by-an-extension</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-finite-dimensional-irreducible-representation-has-a-highest-weight-vector</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-finite-group-is-finitely-presented</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-finite-singular-chain-becomes-cover-small-after-enough-subdivision</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-geometric-braid-is-a-word-in-half-twists</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-geometric-braid-is-braid-isotopic-to-a-smooth-braid</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-graph-walk-contains-a-path-between-its-endpoints</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-integer-above-one-has-a-prime-divisor</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-integer-degree-is-realized-by-a-map-to-the-sphere</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-line-in-a-finite-projective-plane-has-the-same-number-of-points</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-manifold-has-a-compact-exhaustion</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-net-has-a-universal-subnet</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-nonzero-verma-submodule-contains-a-singular-vector</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-norm-on-rn-is-continuous-for-the-euclidean-metric</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-open-cover-of-a-manifold-has-a-countable-cover-by-relatively-compact-coordinate-balls-subordinate-to-it</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-oriented-link-admits-a-regular-projection</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-polynomial-agrees-on-the-cube-with-its-multilinear-reduction</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-positive-braid-divides-a-power-of-delta-on-both-sides</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-trivial-braid-word-combs-as-w-one-w-two</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-unoriented-and-oriented-bordism-class-is-realized-by-an-embedded-collapse</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-vector-in-a-fibre-extends-to-a-compactly-supported-smooth-section</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-verma-module-contains-a-simple-verma-submodule</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-vertex-lies-in-a-unique-maximal-proper-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-walk-in-a-simple-graph-contains-a-path-with-the-same-endpoints</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-whitehead-class-is-realized-by-a-finite-cw-homotopy-equivalence</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-every-zariski-closed-set-has-a-radical-defining-ideal</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ewald-certified-particle-mesh-evaluator-terminates</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ewald-gaussian-poisson-periodization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ewald-lattice-shell-gaussian-tail-controllers</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ewald-pme-derivative-window-alias-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ewald-pme-spline-alias-and-dft-normalization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ewald-screened-coulomb-kernel-and-self-limit</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ewald-smooth-torus-fourier-pairing</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exact-dyadic-determinant-sign-correct-and-terminates</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exact-francis-step-termination-and-similarity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exact-free-complex-reduction-nonzerodivisor</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exact-householder-bidiagonal-reduction</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exact-ornstein-uhlenbeck-momentum-substep</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exact-rational-two-by-two-discriminant-sign</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exact-sequence-dimension-inequality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exactly-one-symbol-constraints-have-polynomial-size</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exactness-at-the-homology-of-the-left-complex</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exactness-at-the-homology-of-the-middle-complex</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exactness-at-the-homology-of-the-right-complex</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exactness-at-the-target-of-the-connecting-map</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exceptional-curve-normal-bundle-minus-one</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exceptional-fiber-line-bundle-euler-characteristic</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exchange-surfaces-inside-normal-disk-copy-products-are-vertical</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-existence-of-a-fibre-cutter</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-existence-of-a-smooth-inhomogeneous-dyadic-frequency-partition</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-existence-of-schwartz-functions-with-flat-fourier-transform-at-the-origin</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exp-negative-argument-second-order-upper-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exp4-potential-inequality</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exp4-unbiased-expert-reward-estimates</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exp4-updates-are-well-defined</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exp4-weighted-estimated-loss-second-moment</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-expander-size-adjustment-and-laziness</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-expander-walk-bad-edge-return</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-expander-walk-contraction</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-expander-walk-restricted-operator</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-expander-walk-violated-edge-collision-bound</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-expectation-by-distribution</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-expectation-is-independent-of-the-ae-representative</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-explicit-disk-band-knots-realize-arbitrarily-small-signature-bumps</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-explicit-euler-constant-enclosure</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-explicit-integral-seifert-matrices-realize-arbitrarily-small-signature-bumps</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-explicit-rk-differentiated-stages-give-local-c1-order</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-explicit-unknot-and-figure-eight-oriented-wirtinger-codes</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-base-assignment-tester-from-quadratic-oracles</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-decay-dominates-every-inverse-power</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-dominates-one-plus-x</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-euler-local-defect</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-factorial-tail-bound</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-integrator-interaction-picture-stability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-phi-integral-representations</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-series-has-infinite-radius</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-series-of-a-bounded-operator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exponential-test-posterior-splitting-at-kl-projection</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ext-depth-shift-across-a-regular-element</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ext-depth-zero-identifies-annihilated-elements</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ext-of-locally-free-sheaf-via-cohomology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ext-one-of-z-mod-n-by-z-is-z-mod-n</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extend-a-degree-zero-transformation-through-one-dimension-shift</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extend-a-partial-comparison-homotopy-by-one-degree</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extend-a-partial-comparison-map-by-one-degree</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extend-sections-from-nonvanishing-open</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extended-dfa-transition-respects-concatenation</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extended-hall-torus-action-is-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extended-reals-complete</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extending-a-map-over-one-cell-is-equivalent-to-nullhomotoping-its-attaching-sphere</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extension-by-zero-short-exact-sequence</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extension-by-zero-vanishing-reduces-to-all-sheaves</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extension-from-subobjects-of-a-generator-detects-injectivity</loc><lastmod>2026-09-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extensional-collapse-is-injective</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extensions-between-distinct-o-linkage-classes-split</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exterior-algebra-basis-monomials</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exterior-and-cartan-calculus-extend-to-manifolds-with-boundary</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exterior-multiplication-koszul-sign-rule</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-exterior-square-has-the-alternating-universal-property</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-external-evaluation-detects-tensor-square-operations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extremal-comparability</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extremal-cut-closed-under-f</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extremal-cut-closed-under-sups</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extremal-fork-noodle-terms-have-one-sign-and-cannot-cancel</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extremal-weight-cochain-for-a-weyl-element-is-closed</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extremal-word-characters-detect-normalized-cyclotomic-simple-labels</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extreme-points-of-the-dual-ball-of-c-of-k</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-extreme-value-theorem-from-compactness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-face-containment-under-plane-subgraphs</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-facet-tensor-weight-exclusion</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-factor-elements-act-on-amalgamated-normal-words</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-factor-elements-act-on-reduced-syllable-words</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-factor-set-is-a-normalized-two-cocycle</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-factor-set-of-a-section-is-a-normalized-two-cocycle</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-factorial-beats-geometric</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fair-coin-cylinder-content-is-a-premeasure</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fair-coin-open-content-is-countably-subadditive</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-faithful-essential-pure-state-orbits-obstruct-countable-separation</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-faithful-irrep-with-a-noncentral-abelian-normal-subgroup-is-properly-induced</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-faithfully-flat-effective-descent-of-modules-and-algebras</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-family-signature-constancy-and-the-weak-lefschetz-substitute</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fas-coarse-branch-derivative</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fas-fine-root-fixed-point</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fas-inexact-coarse-solve-residual-defect</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fas-linear-vw-cycle-translation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fas-second-derivative-of-composed-cycle-map</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fas-vw-cycle-work-and-status</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feature-energy-continuous-under-w2-on-a-common-cutoff</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feature-energy-geodesically-semiconvex</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feature-energy-strong-wasserstein-subgradient</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feature-flow-escape-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fedavg-local-drift</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fedavg-one-round-progress</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-federated-recursion-averaging</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feferman-levy-bounded-layer-support</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feferman-levy-fixed-boolean-values-come-from-initial-layers</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feferman-levy-real-layer-ground-cardinality-bound</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feferman-levy-symmetric-collapse-is-finitely-formalizable</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feferman-tail-complement-automorphism</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feferman-tail-flip-model-is-finitely-formalizable</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fehmm-micro-cell-solves-wellposedness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fehmm-micro-tensor-approximation-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fehmm-one-dimensional-nonaligned-resonance-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fehmm-period-aligned-sampling-has-zero-resonance</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fejer-kernel-is-a-positive-approximate-identity</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fekete-diameters-decrease</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fell-closure-is-characterized-by-weak-containment</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fell-closure-of-a-single-representation-is-its-weak-containment-closure</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fell-continuity-in-the-parameter-of-the-unitary-principal-series</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fell-neighbourhoods-of-an-irreducible-representation-are-saturated-under-weak-equivalence</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fem-control-gradient-residual-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fenchel-conjugate-is-proper-closed-convex</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fenchel-young-equality-characterizes-subgradients</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-few-induced-copies-exclude-a-fixed-labelled-blowup</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-few-induced-copies-is-inherited-by-large-induced-subgraphs</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-feynman-kac-path-measures-satisfy-forward-recursion</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fi-coinvariant-functors-detect-vanishing-in-bounded-weight</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fiber-and-limit-isomorphisms-force-the-base-axis-isomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fiber-transport-homology-and-cohomology-form-the-serre-local-systems</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fiber-transport-makes-homology-into-a-functor-on-the-base-fundamental-groupoid</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibonacci-positive-spherical-pivotal-structure</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-after-base-change</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-as-base-change-to-point-classical</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-components-of-a-proper-birational-morphism-of-regular-surfaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-degree-sum-ramification-residue</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-dimension-upper-semicont-proper</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-injective-map-flat-cokernel-noetherian-target</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-product-associativity-and-symmetry</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-product-open-restriction</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-product-unique-canonical-isomorphism</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-products-glue-over-open-covers</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibre-regular-sequence-locus-open-cm-equidimensional</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibrewise-exact-flat-complex-lifts-noetherian-target</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fibrewise-exact-free-complex-locus-open-cm-flat-family</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-field-antisymmetrizer-image-and-dominance</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-field-integrality-criterion</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-field-is-a-commutative-ring</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-field-is-noetherian</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-field-module-sheaves-have-injective-derived-models</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-field-valued-points-of-schemes</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-figure-eight-character-and-longitude-traces</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-figure-eight-complement-punctured-torus-bundle</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-figure-eight-ideal-gluing-and-cusp-completeness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-figure-eight-two-meridian-presentation-and-preferred-longitude-word</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filled-edge-path-characterisation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filter-base-generates</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filter-derived-net-preserves-convergence-and-cluster-points</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-colimit-flat-fp-sheaf-stage</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-colimit-fp-scheme-stage</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-colimit-fp-sheaf-stage</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-colimit-proper-fp-stage</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-colimits-commute-with-sheaf-cohomology-on-noetherian-spaces</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-colimits-of-abelian-groups-are-exact</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-freeness-lifts-from-associated-graded-algebras</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-graded-lie-algebra-defines-a-shifted-l-infinity-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-l-infinity-taylor-map-extends-to-completed-coalgebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-filtered-maurer-cartan-gauge-equation-has-unique-complete-polynomial-flow</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finitary-monad-algebras-have-coequalizers-under-dependent-choice</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-action-average-tv-controlled-by-kl</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-acyclic-quiver-representations-are-finitary-hereditary-with-euler-form</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-affine-bubbles-represent-signed-cubical-sums</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-affine-incidence-projection-and-curve-component-selection</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-alphabet-iid-information-aep</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-alphabet-past-information-convergence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-ambient-partitions-for-euclidean-boundary-integration</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-analytic-chart-triangulation-compact-riemann-surface</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-and-complete-filtered-isomorphism-lifting</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-arithmetic-schedule-termination-and-count</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-arm-regret-decomposes-into-expected-action-counts</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-atomic-sums-are-dense-in-hone</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-b-stable-generators-and-weight-flags-in-category-o</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-bessel-inequality</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-binary-digit-changes-do-not-alter-zero-one-measure</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-biproducts-of-injective-objects-are-injective</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-birational-algebra-descends-from-a-flat-completion-neighbourhood</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-birational-to-normal-is-isomorphism</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-block-entropy-chain-rule</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-boolean-algebras-are-powersets-of-atoms</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-bootstrap-cdf-supremum-is-measurable</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-boundary-and-interior-partition-glues-local-h-two-estimates</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-budget-adaptive-em-status</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-budget-dpo-properties-and-work</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-budget-fixed-point-iteration-work</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-budget-newton-work-and-status</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-c2-surface-carriers-have-smooth-normal-forms-and-relative-cap-approximations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-caratheodory-splitting</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-cell-local-system-cohomology-is-finite-and-commutes-with-field-extension</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-chart-localization-defines-choice-free-integration-and-compact-stokes</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-chart-localization-for-compactly-supported-forms-on-manifolds-with-boundary</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-chart-surface-normal-forms-supply-jordan-disks-and-torsion-free-groups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-choice</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-closed-immersion-derived-coinduction-adjunction</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-coefficient-vector-has-polynomial-representative</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-conditional-codebook-covering</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-conditional-typicality-packing</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-configuration-product-measurable</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-convex-cell-complexes-admit-compatible-triangulations</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-coordinate-cylinders-form-a-pi-system</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-coset-partition</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-covariance-matrix-basic-properties</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-cover-transfer-with-inverted-degree-and-sign-anti-invariants</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-cw-complexes-are-euclidean-neighborhood-retracts</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-cw-pairs-admit-finite-simplicial-homotopy-models</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-dg-y-oneda-and-perfect-hull</loc><lastmod>2026-11-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-dimensional-axiomatic-homology-has-finite-subcomplex-support</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-dimensional-separation-of-a-compact-convex-set-and-a-point</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-dimensional-subspace-admits-a-linear-projection-without-choice</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-dirichlet-gamma-representation-and-bernstein-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-gibbs-inequality</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-graded-projective-a-m-modules-are-sums-of-shifted-vertex-projectives</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-graded-projective-resolutions-are-extension-stable</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-grid-interval-discrepancy</loc><lastmod>2026-10-19T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-grid-masked-sampler-is-well-defined</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-group-induction-is-coinduction-and-thus-biadjoint</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-group-relative-update-termination-and-calls</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-groups-acting-on-trees-have-a-global-fixed-vertex-after-subdivision</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-hardykrause-variation-implies-riemann-integrability</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-harnack-chain-on-a-compact-connected-subset</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-hermite-interpolation-for-jordan-data</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-holonomy-acts-on-a-small-transverse-disk</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-finite-response-score-gradient-identities</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-finite-right-n-module-frame-from-projection-model</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-first-plus-construction-is-separated</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-first-return-decomposition-of-a-nonempty-dyck-path</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-first-variation-hinge-derivative-formula</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fisher-scoring-irls-is-well-defined</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fista-energy-estimate-sequence</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fitting-ideals-presentation-independent</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-five-term-homology-sequence-for-a-free-presentation</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-base-simplicial-cotangent-represents-derived-derivations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-cap-transverse-product-glues-by-unique-transverse-flow-roots</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-coding-primitive-recursive-arithmetic-and-sequences</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fixed-component-core-multipartitions-are-cyclotomic-jantzen-connected</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-degree-covariance-trace-and-edge-witnesses</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-design-gaussian-regression-controls-local-likelihood-distances</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-design-gaussian-regression-exponential-tests</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fixed-field-of-automorphisms-of-c-over-q-is-q</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fixed-leafwise-cap-gives-a-joint-transverse-product-with-exact-collar</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fixed-locus-and-normal-orbit-closure</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-machine-history-predicate-is-primitive-recursive</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fixed-pivot-coagulation-fragmentation-quadrature-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-point-free-disk-map-produces-a-retraction</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-point-sum-of-the-two-lifts-of-a-self-map</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-points-are-graph-diagonal-intersections</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-residue-node-cubes-realize-fock-i-strings-and-crystal-lattices</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fixed-scale-truncated-covariance-deviation</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fixed-support-test-function-spaces-are-complete</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fixed-vertical-height-relative-morse-handle-normalization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-flat-fp-relative-dimension-strata</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-flat-local-depth-formula-regular-sequence-split</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-flat-local-map-faithfully-flat</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-flat-morphisms-stable-composition</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-flat-pullback-chow-groups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-forbidden-induced-subgraph-classes-are-hereditary</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-forgetting-configuration-points-is-locally-trivial</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fourier-coefficients-of-a-periodic-weak-derivative</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-coefficients-of-lattice-periodisation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-maximal-weak-bound-closes-almost-everywhere-convergence</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-pairing-for-a-finite-measure-and-schwartz-data</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-partial-sum-operator-norm-equals-the-lebesgue-constant</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-partial-sums-are-dirichlet-convolutions</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-partial-sums-are-uniformly-bounded-on-periodic-lp</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-stieltjes-transform-of-a-positive-measure-is-positive-definite</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-stieltjes-transforms-determine-finite-radon-measures</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-transform-of-a-gaussian</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourier-transform-on-tempered-distributions-is-well-defined-and-continuous</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fourth-moment-quadratic-form-resolvent-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fppf-quotient-representability-criterion</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fppf-sheafification-exists</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fpqc-cover-submersive</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fpqc-descent-properness-components</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fr-descent-and-direction-growth-bound</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fraction-field-coefficients-of-an-integral-lkb-class-are-laurent-polynomials</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fractional-boundary-norm-is-independent-of-atlas</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fractional-ideal-operations-well-defined</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fractional-integral-kernel-power-integral</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fractional-integral-semigroup</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fractional-level-set-kernel-measure-estimate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-circles-in-four-dimensional-two-handle-traces-move-to-the-base</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-cobordant-submanifolds-have-homotopic-collapse-maps</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-cobordism-is-an-equivalence-relation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-kauffman-link-evaluation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-knot-push-off-self-linking-well-defined</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-link-diagram-calculus</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-oriented-tangles-have-the-ribbon-generator-and-relation-presentation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framed-points-in-one-component-of-the-frame-bundle-are-framed-cobordant</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-framing-obstruction-lives-in-the-normal-bundle-of-the-surgery-sphere</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-francis-compact-bulge-support-propagation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-francis-double-shift-bulge-chase-matches-explicit-qr</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-frattini-subgroup-is-characteristic</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-frattini-subgroup-nongenerator-characterization</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fredholm-determinant-logarithmic-derivative</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fredholm-determinant-spectral-product-from-power-traces</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fredholm-determinant-trace-norm-continuity-and-growth</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fredholm-determinant-zeros-and-algebraic-multiplicities</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fredholm-maps-have-countable-proper-local-restrictions</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fredholm-splitting-and-parametrix</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-complex-unit-entry-splits-contractible-pair</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-cyclic-resolution-and-transfer-for-power-operations</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-differentials-imply-regular-in-characteristic-zero</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-free-fibre-flat-module-free-noetherian-target</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-group-augmentation-ideal-has-the-generator-difference-basis</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-homotopy-classes-of-loops-are-conjugacy-classes</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-lie-construction-for-finite-kac-moody-generators</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-presentation-bicomplex-collapses-in-positive-middle-group-degree</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-presentation-construction-is-a-central-extension</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-free-word-rings-are-unital-rings</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-freedman-casson-handle-skyscraper-and-surgery-modules</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-freezing-coefficients-and-schauder-error-estimate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fresh-bound-variable-renaming</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fresh-henkin-axiom-preserves-consistency</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fresnel-series-geometric-tail</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-freudenthal-identifies-the-eventual-suspension-system-for-spheres</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-frobenius-character-extension-construction</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-frobenius-character-extension-is-irreducible</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-frobenius-characteristic-preserves-outer-products</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-frobenius-divisibility-gives-d-omega-equals-eta-wedge-omega</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-frozen-slow-euler-local-defect-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-frozen-slow-euler-one-step-stability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-frozen-slow-euler-variation-bounds</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-full-column-rank-matrix-has-economy-qr</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-full-column-rank-matrix-least-squares-solution</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-full-lattice-fundamental-domain-and-bounded-points</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-full-memory-bfgs-dennis-more-condition</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-full-rank-unimodular-sublattice-has-index-one</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-function-limit-unique</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-functional-induced-measures-are-absolutely-continuous-with-respect-to-mu</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-functionals-vanishing-on-the-common-kernel-of-an-independent-family</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fundamental-class-of-a-product-of-closed-manifolds</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fundamental-cut-of-a-spanning-tree</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fundamental-cycle-of-a-spanning-tree</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fusion-control-and-centralizer-transitivity</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-fusion-control-gives-a-nontrivial-p-quotient-of-the-p-residual</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-fv-conforming-companion-and-test-recovery</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-g-equivariant-maps-are-the-fixed-points-of-the-dual-tensor-representation</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-galerkin-orthogonality-for-conforming-galerkin-approximations</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-galois-action-on-the-quadratic-gauss-sum</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-galois-conjugates-have-equal-scalar-extension-multiplicity</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-galois-fixed-points-recover-a-finite-dimensional-scalar-extension</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-galois-orbit-sums-of-split-central-idempotents-descend</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-game-covering-composition-and-continuity</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-game-covering-transfers-winning-strategies</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-gap-three-sat-reduces-to-gap-independent-set</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gapped-projector-map-well-defined</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-garnir-straightening-of-polytabloids</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-bonnet-expression-is-independent-of-the-metric</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-collocation-weighted-defect-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-content-lemma</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-half-system-permutation</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-hypergeometric-series-geometric-tail</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-jacobi-rule-data-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-jacobi-weight-finite-moment-measure</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-lemma-over-a-ufd</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-lower-half-lattice-count</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-monic-three-term-recurrence</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-quadrature-rule-data-well-defined</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-reduction-step-improves-a-positive-definite-form</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gauss-weight-residual-gap-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-activation-covariance-strictness-and-ntk-recursion</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-anchored-conditional-quantile-coupling</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-anchored-sum-density-moderate-deviation-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-anchored-sums-have-cumulant-and-fourier-bounds</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-centering-for-bounded-symmetric-quasiconvex-loss</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-convolution-kl-and-log-square-second-order-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-decay-gives-an-entire-fourier-laplace-transform</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-density-integrals-for-supplied-length-measures</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-elimination-produces-a-pivot-permutation</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-error-contrast-is-multivariate-normal</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-even-moment-bound-for-brownian-increments</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-exponential-mixture-integral</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-fourier-summability-kernel-is-an-approximate-identity</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-hermite-covariance-expansion</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-integral-is-finite-and-positive</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-kernels-form-an-approximate-identity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-kullback-leibler-covariance-formula</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-linear-and-quadratic-statistic-tail</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-location-kl-formula</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-ltwo-hermite-completeness</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-matrix-law-normalization-and-second-moments</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-matrix-orthogonal-unitary-invariance-and-block-independence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-maximum-differential-entropy-under-variance</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-mixture-boundary-crossing-equivalence</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-noise-orthogonalization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-normal-prior-posterior</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-quadratic-form-centered-even-moment-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-rbf-power-function-fill-distance-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-regularization-of-continuity-equation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-sample-covariance-operator-concentration</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-sample-mean-signal-alignment</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-sequence-empirical-bayes-posterior-formula</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-smoothing-of-finite-complex-measures</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-sparse-covariance-mixture-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-square-is-the-plane-gaussian-integral</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-squared-norm-tail</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-superposition-nonunique-han-kobayashi-region</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gaussian-vector-norm-concentration</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gcd-basic-values</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gcd-euclidean-step</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gcd-scaling</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gcr-kernel-and-mackey-borel-characterizations</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-3manifold-skein-quotient-isotopy-and-gluing</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-hecke-cellular-simple-labels-match-the-basic-crystal</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-hecke-residue-branching-endpoints-from-normalized-schur-cells</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-ito-integral-is-independent-of-the-approximating-sequence-and-ae-representative</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-knot-reverse-mirror-sum-is-ribbon</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-linear-group-scheme-and-its-coordinate-ring</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-linear-quotient-stacks-are-algebraic</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-linear-stiefel-frame-spaces-have-the-cohomology-gap</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-linear-stiefel-perverse-normalization-is-exact-and-conservative</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-measurable-finite-group-randomization-validity</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-position-makes-a-whitney-disk-embedded-and-interior-disjoint-in-the-stable-range</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-solution-of-the-one-dimensional-wave-equation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-thom-isomorphism-from-the-relative-serre-spectral-sequence</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-general-variety-function-field-charts</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-bayes-loss-update-normalizes-to-a-probability-measure</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-central-character-submodules-are-direct-summands</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-delta-system-for-small-supports</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-eigenspace-trace-decomposition</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-inverse-sublevel-identity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-niceness-yields-four-reduction-outcomes</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-ritz-values-monotone-under-nested-subspaces</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generalized-weight-space-decomposition-for-a-nilpotent-subalgebra</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-boolean-filter-and-ultrafilter-tests</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-in-degree-d-is-a-quotient-of-free-fi-modules</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-lambda-system-closed-under-intersections</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-lambda-system-exists-and-is-minimal</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-monotone-class-closed-under-complements</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-monotone-class-closed-under-intersections</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-monotone-class-exists-and-is-minimal</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generated-submodule-as-finite-linear-combinations</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generation-degree-bounds-surjectivity-degree-and-weight</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generator-hom-functor-is-exact-coproduct-preserving-and-faithful</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generator-of-a-unitary-group-is-skew-adjoint</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generator-of-the-contour-semigroup-is-the-sectorial-operator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-complex-algebraic-whitney-regularity</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-cyclotomic-local-dictionaries-glue-to-a-tower</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-cyclotomic-type-a-support-is-bounded-by-rank</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-freeness-finite-type-algebra-module</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-klr-induction-and-restriction-mixed-relations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-linear-coordinate-makes-a-holomorphic-germ-regular</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-nondegenerate-local-inverse-tables</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-pfaffian-ring-normal</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-pfaffian-straightening</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-shapovalov-radical-on-a-casimir-hyperplane</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-symmetric-determinantal-ring-normal</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-generic-symmetric-minor-straightening</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geodesic-scaling-identity</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geodesic-segments-have-isometric-ultralimits</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geodesic-triangles-in-trees-are-tripods</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geodesics-can-be-continued-while-their-velocity-lifts-remain-in-a-compact-subset</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-braids-admit-generic-polygonal-representatives</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-cancellation-is-a-unit-entry-in-the-handle-matrix</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-dirac-operator-is-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-drift-minorization-reduces-to-bounded-small-set</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-far-commutativity</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-fibre-choice-independent</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-intersection-descends-through-oriented-cobordism-of-cycles</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-intersection-numbers-are-isotopy-invariants</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-markov-chain-has-adjacent-iid-split-tours</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-median-majority-radius-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-oscillation-decay-implies-a-holder-modulus</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-polynomial-decay</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-reversible-chain-rho-mixing</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-sequence-null</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-series-invertibility-in-the-completed-character-ring</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-simplices-intersect-in-the-realization-of-their-common-face</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-split-renewal-gives-integrable-hitting-time</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-strong-mixing-gives-lp-poisson-solution</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-three-strand-braid-relation</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometric-total-variation-rate-controls-strong-mixing</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometrically-ergodic-chain-has-standard-borel-observation-factor</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-geometry-tensor-gap-bounds-cellwise-form-defect</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-germ-equivalence-relation</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-germ-neighborhoods-form-a-riemann-surface-basis</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-germs-of-local-diffeomorphisms-form-a-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-germs-of-orientation-preserving-diffeomorphisms-of-the-line-at-zero-are-torsion-free</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-getzler-radial-gauge-oscillator-leading-term</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gibbs-block-refresh-is-conditionally-independent</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gibbs-block-update-is-a-probability-kernel</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gibbs-block-update-is-reversible-and-invariant</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gibbs-scan-schemes-are-probability-kernels</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-giraud-tangent-directions-and-controlled-transforms</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gitik-restriction-amalgamation-and-prikry-property</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gitik-strong-compact-support-homogenization</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gitik-support-approximation-and-bounded-stage</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-glm-mean-and-variance-identities</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-glm-product-density</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-cubic-model-minimizer-decrease</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-dimension-is-detected-on-cyclic-modules</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-fiber-basis-trivializes-serre-monodromy</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-intersection-length-sum-local-lengths</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-residue-pairing-dimension-balance</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-residue-pairing-injective-left</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-section-effective-divisor</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-sections-left-exact</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-sheaf-ext-long-exact-in-first-variable</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-smooth-strictly-psh-defining-function</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-global-square-class-approximation</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gls-information-matrix-is-positive-definite</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-glueing-homogenized-ideals</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gluing-broken-index-two-trajectories-gives-collar-ends</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gluing-continuation-solutions-gives-collar-ends</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gluing-handle-morse-models-along-collars</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gluing-lemma-for-plane-subharmonic-functions</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gluing-manifolds-with-boundary-along-a-boundary-diffeomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gnf-left-recursion-elimination-preserves-language</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gnf-substitution-step-preserves-language</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-godbillon-vey-form-is-independent-of-the-choice-of-eta-up-to-an-exact-form</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-godbillon-vey-form-is-invariant-under-rescaling-the-defining-form</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-godel-beta-coding-and-q-remainder</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-godunov-flux-for-burgers-is-continuous-and-consistent</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-clopen-family-for-summable-slaloms</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-copy-extension-count</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-cover-nerve-computes-singular-cohomology</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-linear-size-exterior-triangulation-from-diagram</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-polynomial-reduction-kills-inertia</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-quotient-local-on-target</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-reduction-stable-under-base-change</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-tree-watson-omega-sequence-closure</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-good-tree-watson-selector-obstruction</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-goursat-four-triangle-boundary-cancellation</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-goursat-nested-triangle-selection</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gp-regression-observed-covariance-invertibility</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-additive-functor-preserves-colimits-iff-right-exact-and-coproduct-preserving</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-algebra-isomorphism-transports-the-graded-module-category</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-balanced-tensor-and-shift-isomorphisms</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-c-n-modules-equivalent-to-ungraded-c-n-1-modules</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-chern-character-respects-relative-maps-and-skeletal-filtrations</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-degreewise-direct-sums-and-homogeneous-free-covers</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-fitting-decomposition-preserves-homogeneous-summands</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-grothendieck-group-of-a-m-is-free-on-the-shifted-vertex-projectives</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-hard-lefschetz-has-a-canonical-primitive-decomposition</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-invariants-of-localization-at-an-invariant-element</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-module-kernels-cokernels-and-biproducts-are-degreewise</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-nakayama</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-section-module-finite-projective</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graded-tensor-functor-is-k-linear-right-exact-coproduct-preserving-and-shift-coherent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gradient-flow-identifies-the-local-and-global-attaching-regions</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gradient-like-perturbation-separates-adjacent-critical-levels</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gram-map-fibers-and-rank-strata</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-gram-map-torsor-descent-and-codimension-extension</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grand-maximal-function-controls-admissible-radial-and-nontangential-maximal-functions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grand-maximal-function-is-dominated-by-the-tangential-maximal-function</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graph-as-pullback-diagonal</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graph-closed-separated-target</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graph-distance-is-a-metric-on-each-component</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graph-patch-extension-family-has-dispersive-and-ltwo-slice-bounds</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graph-reachability-is-an-equivalence-relation</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graph-transversality-is-fixed-point-nondegeneracy</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graphical-lasso-finite-budget-properties</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graphical-lasso-profiled-gaussian-likelihood</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-graphs-on-three-vertices-are-not-prime</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grassmannian-standard-affine-charts</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-greedy-colouring-bound</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-greedy-set-cover-charging-bound</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-boundary-cancellation-under-finite-gluing</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-coproduct-products-converge</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-cross-square-counting-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-distinguished-summands-are-mutually-inverse</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-envelope-dichotomy-and-logarithmic-pole</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-exceptional-family-containment-and-fusion</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-function-uniformizes-simply-connected-surface</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-hall-coproduct-coefficients-are-finite</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-hall-coproduct-is-coassociative</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-induction-has-one-distinguished-summand</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-kernel-exists-after-removing-a-chart-disc</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-kernel-resolvent-identity</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-kernel-symmetry-on-riemann-surfaces</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-mackey-intersections-force-proper-vertices</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-restriction-has-one-distinguished-summand</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-type-i-boundary-identity</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-type-ii-boundary-identity</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-green-vertex-retention-and-inducing-lift</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-2x2-unknot-tilde-rank-two</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-3x3-unknot-tilde-rank-four</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-alexander-grading-integral</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-cycle-for-runge-approximation</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-diagram-is-admissible</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-marking-variables-chain-homotopic</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-rectangle-boundary-square-zero-and-filtration</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-rectangle-differential-squares-to-zero</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-reduction-of-a-multivariate-polynomial</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-grid-stability-transfers-under-uniform-norm-comparison</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ground-aleph-n-is-countable-in-the-feferman-levy-model</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-algebra-bimodule-is-induced-from-the-diagonal</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-cancellation</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-homomorphism-basic-properties</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-inverse-laws</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-labelled-homology-lemma-realizes-group-ring-handle-bases-by-isotopy</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-labelled-whitney-tricks-realize-the-diagonalized-handle-complex</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-power-laws</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-ring-modification-lemma-for-embedded-spheres</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-group-rings-have-invariant-basis-number-via-augmentation</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-growth-is-unchanged-by-quotienting-a-finite-normal-subgroup</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-gysin-specialization-bivariant-and-base-change</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-h-cobordism-handle-complex-is-contractible-over-the-group-ring</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-h-cobordisms-admit-two-index-normal-form-presentations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-h-five-overlap-quotient-iteration-terminates-at-a-pure-blockade</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-h-one-local-length-comparison-for-a-conjugate-free-geodesic</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-h-one-regular-local-implies-koszul-regular</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-h1-stabilizes-downward-point-removal</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-h2-classifying-map-is-surjective</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-h2-zero-boundary-p1-interpolant-conforming</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-haar-averaging-projects-onto-the-intertwiner-space</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-haar-candidate-sets-have-the-finite-intersection-property</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-haar-covering-functionals-are-asymptotically-additive</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-hall-malcev-torsion-is-a-finite-characteristic-subgroup</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-hardy-log-integrability-of-boundary-values</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-hardy-subcritical-gaussians-show-the-threshold-is-sharp</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-heat-ball-representation-formula</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-heat-semigroup-derivative-at-zero-on-compactly-supported-smooth-data</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hecke-bracket-trace-dictionary-and-local-descent</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hecke-intertwiners-produce-local-klr-generators</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hecke-trace-bilinear-form-and-its-values-on-the-kazhdan-lusztig-basis</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hedberg-pointwise-inequality</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-heegaard-floer-correction-term-heegaard-invariance</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-heegaard-floer-correction-terms-lens-space-lp1</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-heegaard-floer-holomorphic-disk-regularity-compactness-gluing</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-height-and-yield-bound-for-cnf-trees</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-height-converse-parameter-selection</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-height-equals-local-dimension</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-height-in-quotient-is-relative-chain-length</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-height-theorem-first-generator-reduction</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-height-theorem-quotient-induction</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-heisenberg-bracket-defines-lie-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-heisenberg-group-lagrangian-splitting-and-dual-orbit</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-heisenberg-normal-ordered-fields-satisfy-module-jacobi</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hellinger-distance-controls-l1-and-total-variation</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hellinger-ratio-controls-kl-moments</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-henkin-term-equality-congruence</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hensel-factor-correction-one-stage</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hensel-factor-corrections-form-cauchy-sequences</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hensel-factor-lift-leading-coefficient-normalisation</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hensel-factor-lift-uniqueness-induction</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hensel-factor-lifting-over-a-complete-valued-field</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hensel-factor-limit-multiplies-to-original</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-henselian-pair-ideal-in-jacobson-radical</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-henselian-quotient-factor-lift</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermite-genocchi-bv-window-variation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermite-genocchi-simplex-integral</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermite-leading-terms-for-normalized-shifted-characters</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermite-minkowski-bounded-primitive-integral-element</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermite-orthogonality-and-monomial-expansion</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-block-ldl-inertia-additivity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-block-ldl-kernel-roundoff-and-reconstruction-residual</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-eigenvalue-frobenius-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-exterior-lefschetz-decomposition-and-weil-star-identity</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-idempotent-trace-equals-rank</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-rank-one-resolvent-update-and-trace-norm-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-rayleigh-residual-spectrum-distance</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-resolvent-trace-concentration</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-schur-support-is-contained-in-structural-fill</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-spectral-measure-is-probability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-sphere-net-controls-operator-norm</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hermitian-two-by-two-inertia-sign-test</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hessian-lower-bound-strong-convexity-gradient-gap</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-heterogeneous-bounded-atom-vector-log-cubed-gaussian-coupling</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-exponential-projection-contraction</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-finitely-many-cayley-cone-types</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-free-cayley-tree-from-reduced-words</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-halfspace-separation-for-local-geodesic-mesh</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-infinite-hyperbolic-groups-have-infinite-order-elements</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-non-elementary-groups-have-independent-loxodromics</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-polygonal-interpolation-of-quasi-geodesics</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hg-toolkit-proper-ray-compactness-and-sequence-comparison</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-affine-hecke-bernstein-quotients-are-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-affine-hecke-im-basis</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-affine-hecke-parabolic-weight-filtration</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-bialgebra-compatibility-equivalence</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-classical-and-generic-tensor-double-centralizer-suppliers</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-classical-tensor-centralizer-by-polarization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-coefficient-extension-and-finite-tensor-separation</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-coinvariants-form-a-subspace</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-coinvariants-of-free-hopf-module</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-colored-permutation-rsk-and-tableau-square-count</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-commutative-or-cocommutative-antipode-is-involutive</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-commuting-left-right-hecke-length-operators</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-comodule-kernels-quotients-and-coefficient-identities</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-componentwise-initial-row-straightening</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-convolution-algebra-associativity-and-unit</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-counit-uniqueness-and-finite-sweedler-calculus</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-cyclotomic-anti-involution-fixes-generators</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-cyclotomic-commuting-jucys-murphy-generators</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-cyclotomic-component-shift-and-dominance-ideals</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-cyclotomic-straightening-spanning</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-demazure-lusztig-operators-satisfy-affine-relations</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-dihedral-root-recurrence-and-root-sign</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-double-coalgebra-and-antipode-descent</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-double-crossing-map-and-associativity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-every-comodule-element-lies-in-a-finite-subcomodule</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-comatrix-coalgebra-exists</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-direct-summands-over-khh-are-free</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-dual-regular-hopf-module-construction</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-matrix-and-module-preliminaries</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-matrix-rank-under-specialization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-polynomial-and-localization-constructions</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-semisimple-matrix-double-commutant</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-spanning-list-contains-a-basis</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-finite-tensor-duality-and-canonical-coevaluation</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-formal-deformation-matrix-unit-lifting</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-free-associative-ring-and-relations-descent</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-free-right-right-hopf-module</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-group-and-polynomial-hopf-algebras-exist</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-hecke-anti-involution-bar-and-normalization</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-hopf-module-coinvariant-projection</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-idempotents-lift-over-formal-power-series-rings</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-langlands-dominant-projection</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-local-braiding-operators-obey-braid-relations</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-one-parameter-formal-series-local-ring</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-positive-affine-parameter-has-infinite-quantum-characteristic</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-quantum-and-hecke-tensor-actions-commute</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-quantum-presentation-and-tensor-action-descent</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-quasitriangular-counit-and-yang-baxter-identities</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-rank-one-cyclotomic-quotient-monic-basis</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-rational-spectral-r-matrix-satisfies-yang-baxter</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-reduced-word-independence-and-length-multiplication</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-regular-module-detects-linear-and-tensor-identities</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-regular-trace-criterion-in-characteristic-zero</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-right-dual-and-bidual-conditions</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-root-datum-affine-geometry-and-wall-parameters</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-signed-alcove-products-and-oriented-basis</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-sl2-q3-lattice-tree-and-iwahori-orbits</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-taft-algebra-pbw-and-hopf-structure</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-tensor-algebra-regular-detection</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-tensor-coherence-on-elementary-tensors</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-tensor-injections-quotients-and-kernels-over-a-field</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-tensor-product-coalgebra</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-type-a-finite-hecke-basis-in-multiplicative-normalization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-type-a-garnir-straightening-and-murphy-cell-law</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-type-a-murphy-strong-tableau-straightening</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-type-a-quantum-antipode-descends</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-type-a-tensor-operator-is-a-hecke-symmetry</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hh-universal-presentations-and-base-change</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hierholzer-maximal-unused-edge-trail-closes</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-high-relative-cells-do-not-change-lower-homotopy</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-higher-direct-image-affine-localization</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-higher-direct-image-local-section-formula</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-higher-divided-quantum-serre-relations-by-skew-derivation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-higher-index-handle-attachments-do-not-change-lower-homology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-higher-order-analytic-normal-form-reduces-to-a-first-order-system</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-higher-order-blanchfield-pairings-are-nonsingular</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-higher-order-rolle</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-highest-and-lowest-weight-submodules-at-principal-series-reducibility-points</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-highest-weight-characters-are-unitriangular-in-weyl-orbit-sums</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-highest-weight-modules-have-weights-below-the-top-weight</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-highest-weight-of-a-finite-dimensional-module-is-dominant-integral</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-highest-weight-tensor-maps-and-their-adjunction</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-highest-weight-vectors-in-a-schur-tensor-product-are-lr-tableaux</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-and-riesz-transforms-are-calderon-zygmund-operators</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-basis-degree-cancellation</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-cesaro-averages-converge-to-the-fixed-subspace</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-coherent-projective-bundle-construction</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-complex-solver-from-coercive-estimate</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-cube-has-a-bimeasurable-real-coding</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-euler-polynomial-for-ample-polarization</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-families-fpqc-descent</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-family-vanishing-locus</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-noetherian-base-fixed-polarization</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-polynomial-finite-scheme-length</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-projection-characterisation-by-a-variational-inequality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-projective-space-construction</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-proper-relative-ample-projectivity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-propositional-and-equality-rules</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-rank-flattening-finite-module</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-regularity-independent-of-ambient-dimension</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-regularity-propagation</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-relative-grassmannian-quotients</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-relative-regularity-and-base-change</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-symbol-depends-only-on-square-classes</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-tikhonov-noise-amplification-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-tikhonov-normal-operator-invertible</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-transform-has-signum-fourier-multiplier</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-transform-is-skew-adjoint-on-ltwo</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-uniform-regularity-fixed-polynomial</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-uniform-sections-after-flat-pullback</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-universal-scheme-theoretic-flattening</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-valuative-flat-closure</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hilbert-valued-path-energy-characterization</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hk-smooth-mixed-derivative-formula</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hlr-balanced-cluster-tree-size-and-depth</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hlr-block-cluster-leaves-partition-index-pairs</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hlr-bottom-up-recompression-error-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hochschild-chains-are-bar-tensor-chains</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hodge-riemann-for-large-positive-deformation</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holder-cz-kernels-satisfy-hormander-cancellation</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holder-fourier-coefficients-have-weighted-ltwo-decay</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holder-interpolation-with-an-epsilon-loss</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holm-rejection-events-are-measurable</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-dependence-of-slice-laurent-coefficients</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-difference-quotient-is-holomorphic-in-each-variable</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-difference-quotient-is-jointly-continuous</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-difference-quotient-segment-formula</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-differentials-form-a-g-dimensional-space</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-differentials-separate-generic-points</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-functional-calculus-is-contour-independent</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-line-bundle-has-a-nonzero-meromorphic-section-on-a-compact-riemann-surface</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-logarithms-for-two-omitted-values</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-power-sums-of-slice-zeros</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holomorphic-structure-lifts-to-covering-surface</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holonomy-classes-form-a-groupoid-congruence</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holonomy-germ-is-independent-of-the-foliation-chart-chain</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-holonomy-respects-path-concatenation-and-reversal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hom-from-a-finite-free-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hom-from-a-projective-object-makes-the-injective-resolution-columns-exact</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hom-from-projectives-counts-simple-composition-factors</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hom-into-an-injective-object-makes-the-projective-resolution-rows-exact</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hom-module-over-a-commutative-ring</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hom-to-costandards-counts-verma-flag-factors</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homeomorphism-criteria</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-clarke-flow-margin-monotonicity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-clarke-flow-produces-approximate-margin-kkt-points</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-curves-and-automorphisms-of-p1</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-dual-basis-sums-are-basis-independent-and-weightwise-finite</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-free-presentations-prove-the-graded-comparison</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-margin-constraints-satisfy-mfcq</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-number-is-monotone-under-induced-subgraphs</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-poisson-ordered-event-time-density</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-polynomial-zero-locus-well-defined</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-right-multiplication-reconstructs-the-graded-kernel-action</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogeneous-sets-in-pure-blockade-patterns-lift-to-homogeneous-blockades</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogenization-dehomogenization-correspondence</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogenized-ideal-is-equivalent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogenized-ideal-properties</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homogenized-ideal-under-smooth-morphisms</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homological-ahss-exact-couple-from-the-skeletal-filtration</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homological-and-internal-shifts-on-khovanov-seidel-k-zero</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homology-lemma-realizes-handle-bases-by-isotopy</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homology-of-an-infinite-cw-complex-is-the-colimit-of-skeletal-homology</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homomorphisms-from-a-simple-verma-module-have-dimension-at-most-one</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homomorphisms-respect-commutators-and-derived-series</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopic-grassmannian-maps-classify-isomorphic-bundles-and-conversely</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopic-maps-have-chain-isomorphic-mapping-cones</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopic-maps-with-a-common-regular-value-have-framed-cobordant-preimages</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopic-simple-proper-arcs-in-the-punctured-disk-are-isotopic-relative-to-their-endpoints</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopy-cardinality-base-change</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopy-cardinality-pushforward-is-functorial</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopy-excision-for-a-single-relative-cell-layer</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopy-fiber-component-weight-ratio</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopy-reflexive-and-symmetric</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-homotopy-transitivity-by-reparametrisation</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hone-functional-has-compatible-local-ltwo-representatives</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-honest-prover-maintains-the-claim-invariant</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hook-product-branching-identity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hook-product-change-under-corner-removal</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hooks-are-bead-gap-pairs-on-an-abacus</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hooks-correspond-to-removable-border-strips</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-first-lyapunov-coefficient-from-multilinear-data</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-formula-subgroups-are-normal-and-the-quotient-exists</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-ideal-kernels-and-quotients</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-lax-infima-localise</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-lax-minimiser-satisfies-the-characteristic-euler-relation-at-differentiability-points</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-smooth-eigenpair-branch</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-trace-formula</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hopf-weighted-trajectory-space-is-banach</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-horizontal-composition-of-natural-transformations-is-natural</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hormander-solver-on-smooth-pseudoconvex-domain</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-horn-replacement-block-has-injective-commutator-meridian</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-horocusp-truncation-has-finite-volume</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-horseshoe-gives-a-short-exact-sequence-after-applying-a-right-exact-functor</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-hp-corner-uniform-degree-dof-count</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hp-simplex-p-explicit-conforming-interpolant</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hp-triangle-degree-uniform-strong-edge-lift</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hp-unweighted-legendre-derivative-tail</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hp-weighted-analytic-corner-pointwise-control</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-huber-contamination-mixtures-can-be-equalized-under-tv-threshold</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-huber-covariance-ambient-action-tail-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-huber-covariance-contamination-modulus-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-huber-covariance-mixture-is-a-probability-measure</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-hunt-exceptional-set-and-distribution-estimates</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hurwitz-matrix-exponential-decay-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hurwitz-negative-shift-matrix-invertible</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hybrid-guard-derivative-along-mode</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hybrid-mimetic-backward-euler-energy-and-compactness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hyperbolic-knot-exterior-irreducibility-and-boundary-incompressibility</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hyperbolic-three-space-quasi-isometry-has-quasiconformal-boundary</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hyperbolicity-is-transported-by-a-quasi-isometry</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hyperderived-functors-are-independent-of-the-supplied-cartan-eilenberg-resolution-up-to-natural-isomorphism</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-hyperplane-arrangement-region-count</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hypersurface-deformations-classified-by-equation-deformations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-hypersurface-smooth-iff-multiplicity-one</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-ica-whitening-reduces-mixing-to-orthogonal</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-ideal-criterion-and-intersections</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ideal-gas-entropy-conservative-flux-properties</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ideal-generated-by-homogeneous-elements-is-graded</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ideal-orthoscheme-volume</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ideal-tetrahedron-shape-parameter-relations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ideal-torus-cusp-holonomy-criterion</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ideal-triangulation-gluing-equations-and-peripheral-holonomy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-idempotents-lift-through-finite-commutative-algebra-quotients</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-identity-unique</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-iid-finite-moment-vector-strong-approximation</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-immersion-with-closed-image</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-immersions-and-localizations-monomorphisms</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-implicit-sensitivity-error-controlled-by-residual</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-incidence-convolution-associative-and-distributive</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-incidence-convolution-inverses-by-recursion</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-incidence-locus-is-closed</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-incompressible-surface-torus-boundary-essential-or-parallel-annulus</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-independence-has-finite-character</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-independent-list-is-injective</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-independent-loxodromics-have-disjoint-pole-neighbourhoods</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-independent-observation-posterior-denominator-lower-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-independent-tail-replacement-errors-are-monotone</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-index-one-dae-algebraic-residual-to-state-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-index-one-dae-bdf2-local-branch</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-indicator-expectation-and-products</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-indicator-response-least-squares-minimum-norm-fit</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-interval-realization-from-refining-small-diameter-partitions</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariance-passes-to-orthogonal-complements-under-the-adjoint</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-differentials-of-a-group-scheme</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-forms-on-soergel-bimodules-are-unique-up-to-scalar-and-nondegenerate</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-horizontal-form-on-a-free-proper-quotient-descends-uniquely</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-irrep-produces-a-projective-inertia-extension</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-law-integrates-bounded-set-drift</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-law-positive-set-and-almost-sure-hitting</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-polynomials-annihilate-covariant-commutators</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-polynomials-of-the-hyperbolic-gm-action-on-the-plane</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-ring-of-finite-dimensional-module-is-finitely-generated</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariant-square-integrable-kernel-produces-a-compact-intertwiner</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariants-for-a-group-extension-compose</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invariants-of-finitely-generated-graded-rational-algebra-are-finitely-generated</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-inverse-limit-of-finite-discrete-groups-is-a-closed-topological-subgroup</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-inverse-of-a-quasiconformal-map-is-quasiconformal</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-inverse-of-bijective-group-homomorphism</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-inverse-relations-composites-and-restrictions-are-sets</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-inverse-unique</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invertible-linear-substitutions-preserve-schwartz-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invertible-seifert-matrix-gives-rational-isometric-structure</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-invertible-sheaf-dual-tensor-inverse</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-involutive-frame-reduction</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-involutive-twisted-chain-duals-realize-local-coefficient-duality</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-inward-mollification-and-finite-rank-approximation-on-lipschitz-domains</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-alessandrini-identity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-analytic-cutoff-sequence-and-fbi-invariance</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-analytic-cutoff-sequence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-analytic-nonstationary-incidence-localization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-anisotropic-conductivity-map-wellposedness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-banach-fenchel-duality-for-regularization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-banach-gaussian-cm-shift-ball-bound</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-best-s-term-l1-sparse-vector-formulation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bolker-geometric-criteria</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-borel-jet-realization-and-beam-patching</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-born-linearization-of-the-scattering-map</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-boundary-chart-lifting-and-fourier-projection</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-boundary-quasimode-jets-and-borel-correction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-boundary-spectral-counting-and-sobolev-scale</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bpdn-dual-certificates</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bpdn-minimizer-exists</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bpdn-objectives-proper-closed-convex</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-coarea-formula</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-compactness-lower-semicontinuity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-extension-and-translation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-extension-translation-and-coarea</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-lipschitz-trace-and-zero-extension</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-one-sided-trace-on-lipschitz-graph</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-smooth-coarea</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-sobolev-inequality</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-strict-approximation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-test-field-characterization-and-lsc</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-translation-modulus-for-conductivity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-bv-zero-gradient-constant-on-connected-domain</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-averaged-negative-bourgain-estimate</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-boundary-trace-quotient-identification</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-bourgain-cutoff-estimates</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-disk-inclusion-perimeter-scaling</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-fixed-collar-c1alpha-extension</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-higher-dimensional-cgo-fourier-logarithmic-stability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-planar-beltrami-dbar-logarithmic-stability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-radial-inclusion-dn-spectrum</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-rough-alessandrini-and-quotient-norm</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-rough-dn-map-wellposedness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-calderon-rough-potential-cgo-construction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-centered-neumann-sequence-map-and-differentiability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-centered-ntd-cgo-identity-and-modulated-remainder</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-collared-liouville-potential-and-hone-recovery</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-collared-sobolev-besov-source-functional-cutoff</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-compact-manifold-dirichlet-spectrum-and-regularity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-compact-support-fourier-laplace-is-entire</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-concave-modulus-hilbert-ball-intersection</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-conditional-flow-matching-population-and-exact-flow-meaning</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-conditional-score-and-tweedie-identities</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-conductivity-liouville-transform-and-dn-conjugacy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-conductivity-map-wellposedness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-coordinate-vectors-form-a-basis-of-ell-two</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-cta-gaussian-beam-ray-limit</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-cubic-dn-small-data-differentiability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-cubic-dn-third-linearization-identity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-distributional-radon-representation-unique</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-double-fibration-conormal-kernel</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-eit-centered-range-invariance-vsc-and-frozen-compatibility</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-eit-forward-continuity-and-class-compactness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-euclidean-cgo-solvability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-euclidean-radon-representation-under-countable-choice</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-euclidean-trace-quotient-is-h12</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-finite-dimensional-neural-universal-approximation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-finite-element-reduced-gradient-from-discrete-adjoint</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-finite-independent-array-fourth-moment-normal-limit</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-finite-perimeter-relative-isoperimetry</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-flat-one-sided-analytic-support</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-fno-torus-compact-universality</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-fourier-slice-identity-on-schwartz</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-frozen-newton-one-step-error-recursion</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-gaussian-beam-null-bicharacteristic</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-gaussian-product-mixture-testing-bound</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-gaussian-series-norm-tail-and-fourth-moment</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-gaussian-series-prior-regularity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-gaussian-shift-small-ball-ratio</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-geometric-logarithmic-frozen-stopping-schedule</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-gronwall-with-integrable-coefficient</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-holomorphic-morse-normalization-and-gaussian-contour</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-index-function-young-conjugate-bound</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-index-source-elements-are-minimum-norm</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-interior-neumann-modes-and-kernel-forward-continuity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-intersecting-gaussian-beam-four-factor-limit</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-joint-range-invariance-vsc-estimate</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-l1-sequence-compactness-by-cell-averages</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-largest-s-coordinates-attain-best-s-term-l1-error</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-limited-angle-radon-data-is-l2-on-compact-support</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-limiting-carleman-estimate-on-product</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-linear-finite-element-solve-residual-controls-state-error</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ip-lipschitz-graph-area-and-calculus-under-countable-choice</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-isotropic-gaussian-noise-is-subgaussian</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-isotropic-minimum-norm-risk-components</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-isotypical-evaluation-and-subspaces-of-multiplicity-spaces</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-awgn-feedback-estimation-covariance-update</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-awgn-feedback-rate-splitting-achievable</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-channel-resolvability-soft-covering</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-classical-wiretap-auxiliary-cardinality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-compact-compander-quantizer-is-borel-and-finite-distortion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-it-cover-elgamal-salehi-conditional-packing</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-cq-typical-projector-dimension</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-degradable-channel-coherent-information-concavity-and-subadditivity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-it-dmc-caid-conditional-variance-identity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-dmc-capacity-output-law-is-unique</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-dmc-dispersion-attains-minimum</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-dmc-mutual-information-concave-in-input</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-entanglement-assisted-information-is-additive</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-exponential-cq-spectral-projectors</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-fano-for-finite-message-density-observations</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-affine-slice-error-bound</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-classical-kl-nonnegative-equality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-codebook-covering-selection-law</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-conditional-entropy-continuity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-cq-block-sum-is-a-state</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-cq-wiretap-strong-secrecy-achievability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-dmc-information-density-concentration</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-extension-from-purification-channel</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-gaussian-mixture-entropy-bounds</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-gentle-measurement</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-iid-rate-distortion-mutual-information-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-iid-source-lossless-code-achievability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-kl-agrees-with-measurable-kl</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-log-sum-inequality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-marginals-and-conditionals-are-pmfs</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-mixture-entropy-bounds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-pinsker-euclidean-bound</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-positive-square-root-is-order-preserving</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-povm-measurement-channel</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-product-law-is-iid</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-quantum-entropy-continuity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-random-bin-packing-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-rate-distortion-minimum-attained</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-relative-entropy-continuity-on-simplex</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-selected-codeword-markov-typicality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-superadditive-sequence-limit</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-type-class-cardinality-bounds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-unitary-averaging-decoupling-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-vector-gaussian-water-level-allocation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-weyl-twirl-partial-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-wiretap-product-kernel-is-stochastic</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-finite-wyner-ziv-function-convexity-continuity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-flagged-state-entropy-formula</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-flat-input-coherent-information-achievability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-flat-input-entanglement-assisted-achievability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-flat-spectral-type-information-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-gallager-input-maxima-attained</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-gaussian-reference-kernel-information-lower-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-hayashi-nagaoka-finite-operator-inequality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-inverse-compression-resolvent</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-maximum-coherent-information-attained</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-multisource-block-conditional-law-factorization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-multisource-typicality-probability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-n-type-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-nearest-center-quantizer-is-borel-and-finite-distortion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-number-of-n-types-polynomial-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-it-optimized-constant-composition-gallager-identity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-ozarow-feedback-sum-corner-achievable</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-partial-traces-of-a-state-are-states</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-it-quantum-and-private-information-product-additivity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-quantum-coherent-information-complement-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-quantum-entropy-maximized-at-maximally-mixed-state</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-quantum-entropy-support-and-finiteness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-quantum-relative-entropy-isometric-invariance</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-quantum-relative-entropy-support-regularization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-qudit-erasure-channel-coherent-information</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-qudit-erasure-channel-complement-and-degradability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-random-cut-ergodic-block-channel-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-rate-distortion-convexity-and-monotonicity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-relative-modular-representation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-schmidt-rank-compression-fidelity-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-square-root-cq-packing-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-stationary-block-rdf-limit-and-endpoint-continuity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-type-class-cardinality-bounds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-type-class-probability-bounds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-it-type-probability-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-iterated-cofibers-rotate-with-suspension-reflection</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iterated-down-shifting-terminates-in-a-downward-closed-family</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iterated-kernel-density-convolution-bounds</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iterated-radial-derivative-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iterated-restricted-sparsification-reaches-the-target-scale</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iterated-sparse-restriction-reaches-the-target-sparsity-threshold</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iterated-suspension-and-winding-control-for-clifford-families</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iteration-restrictions-and-complete-embeddings</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iv-first-stage-is-complier-proportion</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iv-observed-contrasts-equal-potential-outcome-contrasts</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-iv-reduced-form-is-complier-effect</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jacobi-product-formula-for-the-discriminant</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jacobi-theta-transformation-laws</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jacobson-ring-prime-as-intersection-of-maximals</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-james-formula-defines-a-norm</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-james-noncompactness-sequence</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-james-norm-attainment-compactness-criterion</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-james-space-dual-and-bidual-identification</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jantzen-layer-dimensions-equal-the-gram-determinant-valuation</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-japanese-bracket-powers-preserve-schwartz-space</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jech-sochor-socks-transfer-is-uniformly-formalizable</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jensen-for-integrable-cost-random-variable</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jensen-for-simplex-pairs</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-john-domain-admits-bounded-overlap-ball-chains</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-john-nirenberg-stopping-cubes-have-geometric-decay</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-join-irreducible-is-join-prime</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-joint-gaussian-blocks-with-zero-cross-covariance-are-independent</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-joint-jet-continuity-and-the-weak-smooth-topology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-joint-measurability-of-spatial-recentering</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jointly-measurable-radon-nikodym-derivatives-for-probability-kernels</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jones-normal-density-discrete-bound</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jones-vassiliev-basis-decomposition</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jones-wenzl-idempotents-exist-below-root-order</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordan-block-automorphism-count</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordan-chevalley-parts-agree-under-adjoint-representation</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordan-holder-factors-of-verma-modules-lie-above-the-head</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordan-quiver-category-is-finitary</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordan-quiver-isoclasses-are-partition-indexed</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordan-schoenflies-extension-for-plane-curves</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordan-set-integral-well-defined</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jordans-lemma-rational-functions</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jt-search-acceptance-is-an-essential-normal-disk</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jucys-murphy-local-relations</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jump-is-well-defined-on-degrees</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-jumps-of-the-variation-function</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-finite-vectors-are-dense-and-stable-under-the-derived-action</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-finite-vectors-detect-nonzero-closed-invariant-subspaces</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-flat-abelian-sheaf-complexes-preserve-quasi-isomorphisms</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-sample-null-centering</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-theory-of-projective-space-and-projections</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-transitive-actions-are-k-homogeneous-and-lower-transitive</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-type-coefficient-formulas-for-the-sl2-discrete-and-principal-series</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-type-decomposition-of-the-sl2-principal-series</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-type-eigenvalue-recurrence-for-the-sl2-intertwiner</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-k-zero-vector-bundles-versus-coherent-sheaves</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kac-moody-chamber-boundary-stabilizers</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kac-moody-opposite-simple-centralizer-vanishes</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kac-moody-reduced-words-and-coroot-signs</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kac-moody-relation-module-embeds-in-verma-modules-and-obeys-the-casimir-constraint</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kahler-commutators-and-laplacian-type-preservation</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kak-integration-formula-for-k-bi-invariant-functions-on-sl2-r</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kalman-filter-is-exact-conditional-on-nonlinear-path</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kato-inequality-for-two-entropy-solutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-katona-cyclic-interval-bound</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kauffman-bracket-curl-and-writhe-correction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kauffman-bracket-evaluation-is-invariant-for-framed-links-in-s-three</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kauffman-bracket-module-framing-twist-factor</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kauffman-bracket-r2-r3-identities</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kauffman-dubrovnik-writhe-component-conversion</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kauffman-smoothing-operators-for-braid-crossings</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kazhdan-lusztig-mu-edges-and-left-cells-are-transported-by-star-operations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kde-evaluation-is-a-measurable-statistic</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kde-jointly-measurable-in-sample-and-evaluation-point</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kelvin-inversion-and-the-laplace-operator</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kempe-component-colour-swap</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-and-rank-sequences-of-powers</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-basis-extension-gives-image-basis</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-composition-is-well-defined-and-associative</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-conjugation-by-an-element-of-the-coefficient-group-corresponds-to-a-principal-crossed-homomorphism</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-generators-for-the-weak-bgg-complex</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-inclusion-implies-the-norm-inequality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-inclusion-implies-weak-containment</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-of-a-direct-sum-of-representations-is-the-intersection</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-of-an-induced-character-lies-in-the-inducing-subgroup</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-of-degree-two-inflation-is-the-transgression-image</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-of-identity-minus-compact-is-finite-dimensional</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-of-the-unit-logarithm-is-the-roots-of-unity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-range-orthogonality-for-hilbert-adjoints</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-subgroup-in-a-group-extension-is-normal-and-the-quotient-is-the-base</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernel-tail-integrals-of-weighted-l-p-functions-are-finite</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kernels-of-finite-projections-form-an-open-normal-neighbourhood-basis</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-keyhole-branch-boundary-values</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kfold-cv-variance-covariance-decomposition</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kh-to-instanton-resolution-spectral-sequence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-cube-differential-squares-to-zero</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-frobenius-tqft-respects-barnatan-relations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-graded-euler-characteristic-jones-normalization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-reidemeister-chain-homotopies</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-rozansky-braid-oriented-kink-shifts</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-rozansky-complex-is-invariant-under-braid-conjugation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-seidel-basic-arcs-detect-the-identity-braid</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-seidel-complexes-satisfy-far-commutativity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-seidel-complexes-satisfy-the-three-term-braid-relation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-seidel-curve-complexes-intertwine-the-braid-generators</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-seidel-generator-complexes-are-mutually-inverse</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-khovanov-signed-local-cancellation-models</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kification-compact-tests-and-finite-constructions</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-killed-and-absorbed-kernels-are-probability-kernels</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-killing-deep-derived-normal-subgroups-preserves-mixed-derived-quotients</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-killing-length-of-a-root-is-nonzero</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kirby-color-full-band-slide-and-coupon-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kirby-moves-preserve-surgery-manifold</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kks-form-is-independent-of-lie-algebra-representatives</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kl-invariant-under-measurable-bijections</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kl-neighborhood-prior-mass-likelihood-denominator-lower-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kleene-star-has-the-expected-least-closure-property</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-klr-maximal-tail-restriction-and-induction-have-a-unique-simple-head</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-klr-module-categories-are-krull-schmidt-with-shift-orbit-bases</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-klr-one-step-simple-restriction-induction-and-first-dot-index</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-klr-projective-duality-and-positive-divided-string-leading-terms</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-klr-two-color-jump-formula-and-strict-elementary-embeddings</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kneser-glaeser-rough-composition-on-flat-sets</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kneser-haken-finiteness-for-incompressible-tori</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-a-polynomial-boundary-elimination</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-admits-morse-height-representative</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-boundary-eigenvalue-locus-defined-over-q</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-concordance-compatible-with-connected-sum</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-connected-sum-well-defined</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-decomposing-sphere-realizes-connected-sum</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-decomposing-sphere-systems-cut-and-paste</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-exterior-h1-is-generated-by-meridian</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-exterior-has-peripheral-torus</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-exterior-homology-and-longitude-via-mayer-vietoris</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-exterior-irreducible-and-boundary-incompressible-kt18-local</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-exterior-is-irreducible</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-floer-cobordism-naturality-and-movie-invariance</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-floer-duality-and-filtration-swap</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-floer-holomorphic-triangle-transversality-compactness-gluing</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-floer-large-surgery-and-filtered-cobordism-input</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-floer-mirror-complex-duality</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-genus-invariant-under-mirror-and-reversal</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-genus-zero-iff-unknot</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-group-infinity-collar</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-infinite-cyclic-cover-cut-and-paste-presentation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-kt41-whitehead-double-values</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-normal-circle-bundle-trivialization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-reverse-mirror-connected-sum-is-ribbon</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-surgery-first-homology-mayer-vietoris</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-tubular-exterior-and-boundary</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-knot-twisted-exterior-acyclicity-from-torsion-module</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kojman-shelah-subspace-is-closed</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kojman-shelah-subspace-is-cofinal-and-has-successor-size</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kojman-shelah-tail-supremum-closure</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kolmogorov-atomic-kernel-maxima</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kolmogorov-block-maxima-diverge-off-a-null-limsup-set</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kolmogorov-block-polynomial-with-large-partial-sums</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kolmogorov-gliding-hump-series-converges-in-lone</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kolmogorov-simultaneous-phase-approximation</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-konig-alternating-reachability-cover</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-braid-and-knot-isotopy-invariance</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-configuration-integral-convergence-needle-estimates</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-configuration-space-compactification-faces</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-critical-point-normalization-and-associator</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-integral-finite-type-truncation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-long-knot-closure-and-connected-sum</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-morse-isotopy-decomposition</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-morse-tangle-composition</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kontsevich-regularization-and-associator-coherence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kostant-adjoint-isotypic-multiplicities-have-zero-weight-rank</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kostant-harmonics-give-an-invariant-polynomial-complement</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kostant-laplacian-is-scalar-on-weight-components</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kostka-change-of-basis-is-dominance-unitriangular</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-append-one-element-mapping-cone-identification</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-coherence-for-derived-sheaf-tensor</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-complex-concatenation-tensor-isomorphism</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-complex-flat-base-change</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-complex-localises-termwise</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-depth-first-nonzero-cohomology</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-differential-coordinate-formula</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-differential-is-well-defined-and-squares-to-zero</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-differential-square-pairwise-cancellation</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-euler-characteristic-first-element-reduction</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-formula-is-necessary-for-a-levi-civita-connection</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-generator-contraction-homotopy</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-generator-matrix-chain-map</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-generators-act-null-homotopically</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-homology-finite-length-for-an-ideal-of-definition</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-mapping-cone-homology-exact-sequence</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-regular-implies-h-one-regular</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-resolution-and-flat-fibre-restriction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-resolution-minimality-maximal-ideal-sequence</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-row-operations-and-variable-exclusion-preserve-factorization-homotopy-type</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-koszul-structure-of-the-abelian-sheaf-tensor-product</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kronecker-pairing-is-multiplicative-under-cross-products</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kronecker-reduction-lemma</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kronecker-summation-lemma</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kst-common-neighbour-double-count</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ku-representability-and-skeletal-postnikov-d-three-comparison</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kuratowski-minors-are-topological-minors</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ky-fan-trace-maximization</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-kz-connection-flatness-and-braid-relations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-class-of-complex-projective-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-genus-is-an-oriented-rational-bordism-ring-homomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-genus-of-complex-projective-space-is-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-one-fourier-transform-is-well-defined</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-one-of-a-second-countable-group-is-separable</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-p-functions-have-sigma-finite-essential-support-for-finite-p</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-polynomials-form-a-well-defined-multiplicative-sequence</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-reductions-transfer-apx-hardness</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-series-coefficient-identity-for-projective-spaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-smoothness-descent-inequality</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l-two-with-the-integral-pairing-is-a-hilbert-space</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l1-action-of-a-unitary-representation</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l1-convolution-norm-inequality</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l1-convolution-with-an-l-infinity-function-is-left-uniformly-continuous</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l1-positive-weights-and-discrete-comparison</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l1-probability-densities-are-weak-star-dense-in-the-mean-set</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l2-basis-projections-converge-and-satisfy-parseval</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l2-cellular-duality-and-weak-exactness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-l2-rho-invariant-bordism-independence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-label-l2-space-is-separable-hilbert</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ladder-separation-from-hyp</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lagrange-multiplier-is-unique-when-constraint-gradients-are-independent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lagrangian-relation-sends-lagrangian-to-lagrangian</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lambda-fibres-are-gamma-2-orbits</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lambda-good-sets</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lambda-system-with-finite-intersections-is-sigma</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lambda-transformation-laws</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-landweber-filter-and-residual-identities</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-langevin-diffusion-density-reversibility-and-compact-minorization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-langevin-gaussian-proposal-kernel</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-langevin-potential-exponential-generator-drift</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-language-concatenation-is-associative</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laplace-fundamental-kernel-is-locally-integrable</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laplace-fundamental-solution-is-harmonic-off-its-pole</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laplace-product-density</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laplace-resolvents-of-a-unitary-group</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laplace-transform-uniqueness-identifies-two-exponentially-bounded-semigroups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-cantor-cubes-are-not-separable</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-delaunay-supertriangle-exists</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-induced-subgraphs-in-the-property-star-four-outcome-theorem-contain-a-pure-or-x-sparse-polynomial-blockade</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-induced-subgraphs-without-a-polynomial-clique-or-stable-set-force-complete-or-anticomplete-blockades</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-positive-divisors-nonspecial</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-radius-polynomial-circle-loop-has-degree</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-semicircle-vanishing</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-large-y-part-in-a-structural-comb-partition-yields-a-homogeneous-set</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-largest-entry-of-a-standard-tableau-is-removable</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-largest-sample-covariance-eigenvalue-lower-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-largest-sample-covariance-eigenvalue-upper-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-largest-summand-bound-for-symmetric-independent-variables</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lasso-active-set-stationarity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lasso-objective-has-minimizer</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-last-vertex-map-is-carried-by-original-simplices</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lattice-eisenstein-sums-converge</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lattice-fundamental-parallelotope-partitions-euclidean-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lattice-paths-are-determined-by-their-step-words</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lattice-periodic-continuous-functions-are-determined-by-their-lattice-fourier-coefficients</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laurent-algebraic-curve-has-principal-equation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laurent-binomial-valuation-at-one-over-any-field</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laurent-non-archimedean</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laurent-series-ring</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laurent-valuation</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laver-guided-iteration-size-collapse-and-factorization</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-law-of-a-random-element-is-a-probability-measure</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-laws-commute-with-measurable-maps</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-layer-cake-identity-for-nonnegative-integrable-functions</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lazy-walk-lengths-within-root-t-have-close-endpoint-laws</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lbfgs-curvature-bounds-imply-uniform-spectrum</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lbfgs-two-loop-equals-stored-updates-and-cost</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-boolean-generic-truth</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-boolean-generic-zfc-and-ordinals</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-complete-measures-small-fibres-and-inaccessibility</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-fine-measure-coordinate-family</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-fine-ultrapower-seed-and-normality</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-generic-boolean-ground-joins</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-generic-evaluation-of-measurable-densities</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-henkin-truth-tree</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-inaccessible-size-and-rank-bounds</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-nonreflection-regressive-injection</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-probability-algebra-completeness</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-random-algebra-preserves-cardinals-and-sets-continuum</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-random-coordinate-product-measure-pullback</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-scott-quotients-are-sets-and-membership-is-setlike</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-solovay-density-locality-and-null-joins</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-solovay-measure-on-generic-subsets</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-tree-partition-equivalence</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-ultrapower-critical-point</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lc-ultraproduct-quotient-well-defined</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-fourier-transform-intertwines-translation-modulation-and-convolution</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-fourier-transforms-form-a-dense-czero-algebra</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-group-has-an-open-compactly-generated-subgroup-with-no-open-subgroup-of-infinite-index</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-haar-measure-is-inversion-invariant</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-lone-character-topology-is-the-compact-open-topology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-lone-convolution-is-a-commutative-banach-star-algebra</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-parseval-pairing-on-the-integrable-core</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-positive-convolution-squares-form-an-inversion-core</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-scalar-unitization-character-space-and-spectrum</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-transform-range-is-dense-in-ltwo-of-the-dual</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lca-translations-and-normalised-local-approximate-identities</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lch-urysohn-cutoff-for-a-compact-set-inside-an-open-set</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leading-coefficient-bound-for-a-reduced-form</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leading-coefficient-ideals</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leading-coefficient-is-minimal-in-a-reduced-class</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leading-multidegree-of-a-symmetric-polynomial-is-a-partition</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leading-multidegrees-of-elementary-symmetric-monomials</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leading-tabloid-coefficient-of-a-standard-polytabloid</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leaf-extension-copy-or-blockade</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leaf-extension-copy-or-sparse-pair</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leaf-reducible-families-yield-a-large-anticomplete-pair-or-a-more-restricted-induced-subgraph</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-least-absolute-remainder</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-least-absolute-residue-quadruple-of-a-multiple</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-least-feasible-sample-size-exists</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lebesgue-measurable-sets-have-small-open-excess</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lee-cobordism-filtration-genus-bound</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lee-filtered-spectral-sequence-and-two-orientation-classes</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lefschetz-hopf-index-formula-for-nondegenerate-fixed-points</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lefschetz-numbers-of-the-two-lifts-sum-to-twice-the-base-lefschetz-number</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-left-and-right-amenability-agree-by-inversion</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-left-and-right-cosets-equinumerous</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-left-cell-equivalence-forces-equality-of-recording-tableaux-in-type-a</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-left-total-derived-functor-is-independent-of-the-supplied-projective-replacement-up-to-unique-natural-isomorphism</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-legal-tableaux-iff-all-local-windows-and-boundaries-are-legal</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-legendre-gauss-lobatto-nodes-are-distinct</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-legendre-weighted-derivative-orthogonality-and-norm</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leibniz-determinant-forward-error-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-length-additive-products-of-standard-intertwiners</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-length-increasing-hecke-products</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-leray-hirsch-isomorphism-on-associated-graded-modules-lifts-without-extension-ambiguity</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-level-one-cusp-chart-and-compactness</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-level-one-node-order-and-conjugation-dictionary</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levenberg-marquardt-large-damping-forces-sufficient-decrease</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levenberg-marquardt-step-is-scaled-trust-region-minimizer</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levi-pseudoconvexity-is-independent-of-defining-function</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levine-tristram-hermitian-form-singular-set</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levine-tristram-one-sided-averages-exist</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levy-maximal-inequality-for-independent-tail-sums</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levy-prokhorov-distance-is-a-metric</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-levy-sigma-one-existential-normal-form</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lichnerowicz-formula-for-geometric-dirac-operators</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lichtenbaum-schlessinger-complex-and-cotangent-ext</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-algebra-of-a-semisimple-group-in-characteristic-zero-is-semisimple</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-algebra-of-the-general-linear-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-algebra-of-the-stabilizer-of-a-subspace-and-lie-stable-subspaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-algebra-quotient-bracket-is-well-defined</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-algebra-tangent-space-and-functoriality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-functor-exactness-fixed-points-and-generation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-ideals-and-normal-connected-subgroups-in-characteristic-zero</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lie-strang-local-error-expansions</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lift-a-map-through-degree-zero-of-a-projective-resolution</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lift-of-two-strand-half-twist-is-annular-dehn-twist</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lifted-determinant-sign-matches-sphere-side</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lifted-energy-lipschitz-gradient</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lifted-flip-potential-decreases</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lifted-power-sphere-determinant-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lifting-idempotents-in-complete-deformation-algebras</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lifting-residue-frobenius-by-galois-conjugates</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lifts-of-circle-loop-concatenation-and-reversal</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-likelihood-ratio-test-is-measurable-and-exact-size</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-likelihood-ratio-threshold-exists</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-likelihood-tilted-measure-is-sigma-finite</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-liminf-le-limsup</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-liminf-passage-makes-the-weak-limit-a-minimiser</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-abs</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-implies-local-boundedness</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-is-local</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-legs-are-jointly-monic-and-colimit-legs-jointly-epic</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-of-tail</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-points-of-unbounded-sets</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-preserves-order</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limit-unique</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limitwise-nullhomotopy-predicate-descends-to-a-normal-subgroup</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limsup-epsilon-characterisation</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limsup-exists</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limsup-monotone-comparison</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-limsup-reflection</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lindeberg-condition-implies-feller-negligibility</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lindelof-degree-is-well-defined</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-line-bundles-on-projective-three-space-restrict-by-degree</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-line-integrals-are-independent-of-the-piecewise-c1-partition</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-cardinal-interpolant-on-an-edge</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-clutching-splits-into-eigenbundles</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-combinations-of-compact-operators-are-compact</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-congruence-reduction-by-the-gcd</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-contrast-statistics-are-borel-measurable</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-elasticity-mixed-pressure-gauge-is-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-elasticity-rigid-body-gauge-system-is-nonsingular</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-functional-annihilating-kernel-of-a-surjection-is-a-transpose-multiple</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-functionals-separate-points-from-subspaces</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-gaussian-reference-ensemble-reproduces-kalman-filter</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-interpolation-error-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-isoperimetry-implies-uniformly-thin-geodesic-bigons</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-map-elementary-properties</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-matrix-odes-have-unique-global-solutions-on-a-given-interval</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-multistep-order-conditions-from-taylor</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-order-completion-existence-uniqueness-and-density</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-primary-companion-block-is-similar-to-a-jordan-block</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-ridge-pullback-of-null-sets-is-null</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-smoother-gcv-expression</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-subspace-criterion</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-subspace-is-a-subgroup</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linear-system-incidence-is-smooth</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linearity-of-the-bochner-integral</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linearizations-powers-and-equivariant-section-ring</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linearly-degenerate-characteristic-contact</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linfinity-bmo-functions-dualise-hone-boundedly</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-diagram-upper-region-free-meridians</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-nilpotent-peripheral-presentation-from-diagram</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-nilpotent-quotient-generated-by-component-meridians</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-peripheral-longitude-word-from-diagram</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-seifert-matrix-enlargement-under-arc-surgery</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-seifert-pairing-well-defined</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-surgery-e-one-differential-is-reduced-khovanov</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-wirtinger-crossing-ball-cover</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-link-wirtinger-local-meridian-conjugacy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linking-number-equals-four-dimensional-intersection-number</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linking-number-even-sum-and-reidemeister-invariance</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linking-pairing-on-rational-homology-sphere-is-nonsingular</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linucb-elliptical-potential</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linucb-gaussian-mixture-supermartingale</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linucb-predictable-mgf-substitution</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linucb-ridge-estimates-are-measurable</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linucb-ridge-information-matrix</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-linucb-trace-determinant-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lipschitz-curves-and-dominated-interval-vector-measures</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lipschitz-formula-for-the-lattice-sum</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lipschitz-images-of-lebesgue-null-sets-are-lebesgue-null</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lipschitz-sde-local-solution-has-finite-path-moment</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lipschitz-sde-map-is-well-defined</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-listed-infinite-sigma-algebra-has-a-disjoint-sequence</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-littlewood-internal-product-outer-compatibility</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-littlewood-paley-reproducing-formula-in-tempered-distributions</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lkb-deleting-the-last-puncture-gives-a-saturated-absolute-homology-inclusion</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lkb-lifted-absolute-cellular-boundary-and-fraction-field-rank</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lkb-small-end-neighbourhoods-stabilize-equivariantly</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lmnn-explicit-subgradient-and-data-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lobachevsky-fourier-expansion-and-pi-third-bound</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-analytic-separation-and-saturated-borel-quotients</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-block-projection-controls-generalized-decomposition-support</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-boundary-separator-for-strongly-pseudoconvex-domain</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-boundedness-of-separately-holomorphic-functions</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-c-one-volume-distortion</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-c1-step-consistency-implies-tangent-adjoint-gradient-order</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-center-manifold-for-a-simple-hopf-point</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-characteristic-shock-curve</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-chevalley-restriction-for-kostant-freeness</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-compact-subgroups-of-hausdorff-groups-are-closed</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-comparison-of-a-riemannian-metric-with-the-euclidean-metric</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-composition-of-complex-power-series</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-composition-of-real-power-series</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-convergence-of-the-baker-campbell-hausdorff-series</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-coordinate-cup-products-generate-top-relative-cohomology</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-critical-value-lowering-preserves-the-upper-sublevel</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-dimension-reduced-variety-components</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-domain-dominated-by-valuation-overring</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-dvr-condition-implies-dimension-one</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-dvr-condition-implies-global-normality</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-fibre-dimension-bound-via-polynomial-quasifiniteness</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-finite-dimensional-reduction-for-a-fredholm-map</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-fixed-point-index-is-coordinate-and-neighbourhood-independent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-fixed-point-index-is-invariant-under-diffeomorphism-conjugation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-fixed-point-index-splits-under-perturbation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-gauss-bonnet-sums-over-a-supplied-finite-geodesic-triangulation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-gaussian-characteristic-function-is-global</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-gch-absorbs-sums-and-squares</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-gch-hartogs-dichotomy</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-generalized-poincare-bendixson-for-a-precompact-planar-orbit</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-geodesics-in-a-hyperbolic-space-are-uniform-quasi-geodesics</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-global-dimension-equals-residue-field-projective-dimension</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-graph-flux-from-fubini-and-the-fundamental-theorem</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-hamiltonian-flow-preserves-symplectic-matrix</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-hartogs-extension-across-polydisc-shells</loc><lastmod>2026-09-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-holder-cauchy-transform-estimate</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-holomorphic-logarithm-nonvanishing-function-on-disc</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-homomorphism-residue-field-map</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-index-is-additive-under-a-transverse-perturbation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-intersection-as-vanishing-order-on-smooth-curve</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-intersection-forms-embed-in-primitive-lefschetz-forms</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-intersection-length-finite</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-isometries-send-geodesics-to-geodesics</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-koszul-acyclicity-inductive-converse</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-koszul-h-one-detects-first-regularity-failure</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-lemma-conditional-probability-bound</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-length-comparison-for-a-conjugate-free-geodesic</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-linear-normalized-moment-matrix-converges-in-probability</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-lipschitz-class-empirical-process-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-lipschitz-derivative-quadratic-remainder</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-logarithmic-derivative-zeta</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-margin-minimum-satisfies-kkt-under-mfcq</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-morse-sublevel-pair-is-a-handle-pair</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-normal-p-complements-force-control-of-fusion</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-normal-surface-modification-dimension-and-projective-cohomology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-normalized-point-blowup-sequences-spread-at-closed-points</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-polynomial-projections-match-moments-through-order-s</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-postcomposition-chain-rule-for-w-one-two</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-q-one-deformation-proves-integrable-highest-weight-universality</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-rarefaction-fan</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-reciprocal-of-a-real-power-series</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-reciprocal-of-complex-power-series</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-residue-annihilator-regular-sections</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-root-from-uniformly-small-residual</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-root-in-max-norm</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-sgd-client-drift</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-sgd-sampling-variance</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-sgd-virtual-progress</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-sgd-weighted-recursion</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-slice-for-a-free-proper-action</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-solvability-of-the-augmented-characteristic-ode</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-special-copy-trichotomy</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-sphere-orientations-and-finite-puncture-excision</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-subharmonic-peak-function-globalizes</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-sylow-conjugacy-ascent-for-fusion</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-wave-energy-conservation-law</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-local-yang-baxter-operators-satisfy-the-artin-relations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-identity-for-a-divergence-form-weak-solution</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-of-a-graded-ring-at-a-homogeneous-element</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-of-a-primary-submodule</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-of-cohen-macaulay-module-depth-dimension-equality</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-of-hom-natural-map</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-preserves-injectivity</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-preserves-surjectivity</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localisation-spectrum-map-homeomorphism-onto-image</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localised-hom-finite-free-case</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localised-hom-finite-presentation-kernel-step</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localised-ideal-generated-by-contracted-numerators</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localised-module-addition-independent-of-representatives</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localised-module-fraction-equivalence-is-an-equivalence-relation</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localised-module-scalar-action-independent-of-representatives</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locality-determines-formal-ope-coefficients</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locality-of-subharmonicity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localized-cone-triangles-satisfy-the-octahedral-axiom</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localized-cone-triangles-satisfy-tr-one-through-tr-three</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localized-curved-patch-measure-transform-decay</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localized-lift-generates-continuity-equation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-localized-lift-subdifferential</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-bounded-holomorphic-families-are-locally-equicontinuous</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-bounded-separately-holomorphic-functions-are-locally-lipschitz</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-compact-second-countable-spaces-have-compact-exhaustions</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-constant-functions-form-a-sheaf</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-contractible-metric-spaces-have-singular-constant-sheaf-cohomology</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-convex-closures-and-finite-compact-convex-hulls</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-finite-families-of-supports-have-locally-finite-cozero-families</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-finite-linear-combinations-of-sections-are-smooth</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-finite-smooth-partition-of-unity-on-domain</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-finite-sums-are-continuous</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-finite-union-of-sigma-locally-finite-bases</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-finite-unions-and-closures</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-flat-slice-surface-bounds-seifert-hypersurface</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-split-cech-nerves-give-derived-cartesian-sheaf-descent</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-trivial-acyclic-fibers-give-bounded-derived-pullback-equivalences</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-unique-ode-solutions-agree-and-glue-on-overlaps</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-locally-zero-locus-clopen-holomorphic-function</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-log-determinant-concavity-on-positive-definite-matrices</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-log-determinant-strictly-concave-on-positive-definite-matrices</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-log-gaussian-density-supnorm-controls-local-likelihood-distances</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-log-modulus-is-harmonic-off-its-centre</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-log-power-regularity-after-endpoint-substitution</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-log-series-extends-by-the-product-law</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithm-branch-for-a-linear-factor-on-a-disc</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-caccioppoli-estimate-for-positive-supersolutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-derivative-of-the-radial-volume-jacobian-is-the-distance-laplacian</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-derivative-order-residue</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-logarithmic-energy-strict-positivity-for-zero-mass-charges</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-integral-asymptotic-expansion</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-norm-bounds-the-matrix-exponential</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-norm-is-real-and-variational</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-potential-distributional-laplacian</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-potential-maximum-principle</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmic-unit-image-is-discrete</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logarithmically-many-iterations-reach-constant-gap</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logdet-information-perturbation-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-loggamma-product-tail-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-loggamma-series-convergence-and-gamma-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-loggamma-shift-independent</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-logistic-and-exponential-losses-have-tight-exponential-tail</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logrank-risk-fraction-converges</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logrank-risk-set-empirical-fractions-converge</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logrank-score-martingale-expansion</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logrank-variance-estimator-consistency</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logspace-machines-have-polynomially-many-configurations</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-logspace-reductions-compose</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-long-exact-sequence-of-a-triple-in-singular-homology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-long-run-covariance-is-trace-class</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-loop-products-in-a-topological-group-agree-up-to-homotopy</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lorentz-cone-log-barrier</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lorentz-stabilizers-and-connected-cover-preimages</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-low-arity-stasheff-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-low-degree-filtration-sequence-for-a-first-quadrant-bicomplex</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lower-central-quotients-of-finitely-generated-nilpotent-groups-are-finitely-generated-abelian</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lower-central-series-terms-are-characteristic-ideals</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lower-lifted-facets-cover-the-convex-hull</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lower-limit-line-is-regular-and-lindelof</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lower-limit-plane-antidiagonal</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lower-median-of-odd-empirical-sample-is-middle-order-statistic</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-lowest-weight-space-is-the-nilradical-invariant-line</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-loxodromic-elements-have-north-south-boundary-dynamics</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-ltwo-almost-orthogonality-of-dyadic-pieces</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ltwo-and-divergence-data-embed-in-h-minus-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-ltwo-normalisation-of-sine-modes-on-the-interval</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lub-implies-nested-intervals</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lusztig-and-kashiwara-normalizations-match-by-root-color</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-lusztig-asymptotic-algebra-and-specialization-map</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-luzin-property-n-gives-an-integral-growth-estimate</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-m0w-finite-projection-and-tail-bvm-criterion</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-m0w-separable-and-projection-tails</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ma-produces-an-uncountable-q-set</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ma-reduction-to-small-ccc-orders</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-machine-encoding-is-injective-and-decodable</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mackey-induction-classification-for-regular-euclidean-duals</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mackey-support-for-homs-between-finite-principal-series</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-magnus-conjugation-coefficients-use-shorter-subwords</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-manifold-bump-for-a-compact-set-inside-an-open-set</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-manifold-exhaustion-passes-local-duality-to-the-colimit</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-many-good-two-t-vertex-sets-force-many-homogeneous-k-sets</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-many-one-reducibility-is-a-preorder</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-maps-of-compactifications-preserve-remainders</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-marchenko-pastur-formula-defines-a-finite-measure</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-marcinkiewicz-interpolation-from-weak-one-one-and-strong-two-two</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-maslov-index-four-lagrangian-cocycle</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-maximal-dyadic-cubes-covering-a-proper-open-set</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-maximal-dyadic-subcubes-of-a-cube-at-a-height</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-maximal-non-finitely-generated-ideal</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-maximal-regular-sequence-stops-at-associated-prime</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-maximal-regular-sequences-have-common-length-ext</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-maxwell-rectangular-stokes-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-maxwell-yee-step-matrix-is-positive-definite</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-mct-implies-lub</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mdp-performance-difference-identity-with-arbitrary-baseline</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-meagre-master-codes-below-summable-slaloms</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-mean-field-first-variation-and-measure-optimality</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mean-field-projection-identities</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mean-measure-and-integrals-of-a-random-point-process</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-measurable-fields-of-nonempty-compact-sets-have-measurable-dense-selections</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-functions-preserve-independence</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-gram-schmidt-and-constant-field-trivializations</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-matrix-depth-maximizer-selection</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-minimum-norm-geometric-median-selection</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-null-code-orders-bound-constructible-null-unions</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-observation-does-not-increase-mixing-coefficients</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-posterior-quantile-and-cdf-bracketing</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-rejection-function-defines-randomized-test</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-sections-have-measurable-pointwise-inner-products</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-measurable-von-neumann-algebra-fields-have-measurable-commutants-and-centers</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-meek-rules-complete-for-cpdag</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mehler-supertrace-normalization-is-ahat-times-relative-chern-character</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-meridian-disk-criterion-for-unknot-exterior</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-meridian-preserving-torus-homeomorphism-extends-over-solid-torus</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-meromorphic-jensen-formula-with-centre-divisor</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mesh-of-iterated-barycentric-subdivision-tends-to-zero</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mesh-of-iterated-simplicial-barycentric-subdivision-tends-to-zero</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metabolic-seifert-form-implies-fox-milnor-factorization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metastable-cohomology-of-eilenberg-maclane-spaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metastable-embedding-for-maps-from-a-compact-manifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-ball-neighbourhood-base</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-borel-hierarchy-monotonicity-and-operations</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-cauchy-bounded</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-cauchy-with-convergent-subsequence</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-convergent-implies-cauchy</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-critical-crossing-preserves-pointed-disk-pairs</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-end-flow-matching-gives-local-broken-charts</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-graph-kirchhoff-green-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-graph-p1-interpolation-estimate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-limits-unique</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-morse-smale-end-counts-form-chain-complexes</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-nonnegativity</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-open-covers-have-point-finite-refinements</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-outer-measure-boundary-layer-continuity</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-point-finite-refinements-can-be-made-locally-finite</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-projection-onto-a-nonempty-closed-convex-set-is-nonexpansive</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-properness-agrees-with-proper-discontinuity-on-proper-discrete-metric-spaces</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-reverse-triangle</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-spaces-have-sigma-discrete-open-bases</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-spaces-have-sigma-locally-finite-bases</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metric-uniformity-dictionary</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metrics-on-rn</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metrizable-spaces-are-collectionwise-normal</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-metropolis-hastings-density-ratio</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mgf-of-independent-finite-sum</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mgrit-exact-coarse-elimination</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mgrit-recursive-work-and-visits</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mgrit-two-level-call-counts</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-middle-dimensional-intersection-form-is-symmetric-and-nondegenerate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-middle-handle-pairs-with-one-geometric-intersection-cancel</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-middle-lefschetz-primitive-polarization-follows-from-nonmiddle-polarizations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-midpoint-bvp-discrete-linearized-inverse</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-midpoint-convexity-extends-to-dyadic-weights</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-midpoint-nystrom-collective-compactness-and-consistency</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-midpoint-quadrature-defect-for-p1-stiffness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mihlin-dyadic-pieces-sum-to-an-off-support-kernel-representation</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-milnor-basing-indeterminacy-and-self-crossing-scope</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-milnor-sphere-bundles-with-euler-number-plus-or-minus-one-are-simply-connected</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-milstein-local-defect-bounds</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mimetic-fv-parabolic-limit-identification</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-algebraic-relator-area-exists</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-area-diagrams-are-reduced</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-cauchy-filter-associated-to-a-cauchy-filter</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-cauchy-filter-space-is-complete</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-free-matrix-induces-zero-on-residue-ext</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-free-resolution-differentials-land-in-maximal-ideal</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-free-resolution-reduces-to-zero-differential</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-free-resolutions-unique-up-to-chain-isomorphism</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-normal-subgroups-of-finite-groups-are-characteristically-simple</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-parabolic-diagrams-have-pbw-bubble-normal-form</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-parabolic-polynomial-flag-model-realizes-the-graded-diagram-relations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-parabolic-relative-canonical-line-bundle-root-weight</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-polynomial-is-invariant-under-field-extension</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-power-diagram-has-a-periodic-boundary-shell</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-prime-over-an-ideal-exists</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-walk-functions-are-coherent-and-finite-to-one</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimal-walk-trace-concatenation-and-limit-control</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimizer-face-of-a-continuous-affine-functional</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimizing-along-a-geodesic-is-an-initial-interval-property</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimizing-sequence-in-a-closed-convex-set-is-cauchy</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimum-boundary-exchange-cycles-force-an-impossible-zero-edge-normal-component</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimum-boundary-exchange-leaves-have-single-leaf-zero-edge-corridors</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimum-maximum-and-bounded-shifts-of-stopping-times</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minimum-spanning-tree-cost-lower-bounds-metric-tsp</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minkowski-functional-is-sublinear</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minkowski-successive-minima-volume-deformation</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-minuscule-weights-are-the-weyl-orbit</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mirror-descent-bregman-projection-exists</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mirroring-preserves-primality-of-a-knot</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-missing-at-random-integrable-factorization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mixed-anticonnected-blocks-lift-pattern-obstructions-to-the-ambient-graph</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mixed-block-reachability-is-an-equivalence-relation</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mixed-boundary-hyperbolic-passage-has-uniform-endpoint-derivative-bounds</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mixed-hodge-complexes-give-functorial-cohomology-and-simplicial-weights</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mixed-relations-and-local-nilpotence-give-an-integrable-quantum-action</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mixed-wave-curves-are-c1</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mlmc-estimator-moments-and-mse</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mlr-orders-randomized-thresholds</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mod-null-invariant-sets-have-strictly-invariant-representatives</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mod-two-cohomology-ring-of-infinite-real-projective-space</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mod-two-cohomology-rings-of-complex-projective-spaces</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mod-two-degree-is-well-defined-and-homotopy-invariant</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mod-two-eilenberg-maclane-base-and-path-loop-inputs</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-bounded-rank-structure-varieties-have-finitely-many-orbits</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-internal-end-reconstruction-and-eilenberg-watts</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-module-category-rank-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-module-deformation-complex-contracts</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-module-functor-categories-are-finite-semisimple</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-module-functors-have-adjoints-and-separable-monads-split</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-separable-algebra-object-duals</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modc-surjective-orbit-tangents-give-finite-orbits</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-models-of-coded-zf-are-infinite</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modification-lemma-for-embedded-spheres-in-a-handle-presentation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modified-patankar-euler-positive-tube-local-error-and-stability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modified-pcp-reduces-to-pcp</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modular-gauss-sums-and-kirby-color</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modular-group-reduction-to-the-standard-domain</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modular-hom-state-spaces-have-exact-sewing-inverses</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modular-hopf-matrix-squared</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modular-quotient-local-charts</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modular-trace-depends-only-on-the-p-regular-part</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modular-trace-functions-of-simple-modules-are-linearly-independent</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-module-criteria</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-module-elementary-consequences</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-module-finite-domain-extension-lifts-finite-prime-chains</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-module-jacobi-formal-delta-substitution-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-module-relative-hilbert-samuel-polynomial-for-koszul-comparison</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-modules-are-complement-invariant</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mollification-commutes-with-weak-derivatives-in-the-interior</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mollified-biot-savart-kernel-is-smooth-globally-lipschitz</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moment-bound-for-a-random-sign</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moments-give-derivatives-of-the-characteristic-function</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monic-polynomial-capacity-lower-bound</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monogenic-prime-factorisation-by-polynomial-reduction</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monoid-units-form-a-group</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomial-bases-of-bergman-spaces-of-disc-ball-and-polydisc</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomial-induced-representations-transversal-model-properties</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomial-inequivalence-criterion</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomial-integrals-over-disc-ball-and-polydisc</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomial-irreducibility-criterion</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomial-representation-has-a-monomial-matrix-model</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomiality-lifts-along-a-quotient</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monomorphism-diagonal-isomorphism</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-and-diagonal-lattice-paths-correspond</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-chebyshev-tauberian-desmoothing</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-fv-discrete-kruzhkov-inequality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-fv-local-compactness-and-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-fv-update-preserves-range-and-tvd</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-good-sets-for-algebra-elements</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-unbounded-diverges</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotone-with-interval-image-is-continuous</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-monotonicity-of-union-and-intersection</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moore-club-extension-for-minimal-walks</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moore-no-cross-injection</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moore-penrose-products-are-orthogonal-projectors</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moore-topology-is-hereditarily-lindelof</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moore-topology-is-nonseparable</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morphism-equality-on-dense-open</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morphism-schemes-local-on-source-target</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morphisms-from-the-constant-sheaf-are-global-sections</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morphisms-of-mixed-hodge-structures-are-strict</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morphisms-of-sheaves-determined-by-stalks</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morse-functions-are-transverse-differentials</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morse-smale-transversality-is-equivalent-to-surjectivity-of-the-linearized-flow-operator</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morse-splitting-induction-preserves-the-residual-hessian</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-morse-trajectories-have-positive-energy-drop</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moser-iteration-for-positive-supersolutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moser-pullback-differentiation-equation</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-most-strings-are-incompressible</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-moving-block-bootstrap-conditional-covariance</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mprk22-1-positive-tube-local-error-and-stability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiclass-margin-rademacher-generalization</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multicolored-ribbon-coupon-evaluation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multidimensional-refinement-inequalities</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multilinear-extension-streaming-evaluation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multilinear-extension-table-evaluation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multilinear-minor-pfaffian-ideal-components</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multilinearization-preserves-boolean-values</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multinomial-law-normalization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiple-choice-produces-maximal-antichains</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiples-below-a-prime-power</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiplication-by-n-on-abelian-scheme</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiplicative-filtered-cochains-induce-products-on-all-spectral-sequence-pages</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiplicative-type-affineness-by-field-descent</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiplicative-type-groups-are-linearly-reductive</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiplicative-type-groups-split-separably</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiplicative-type-local-hopf-dictionary</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiplicity-of-a-type-i-factor-representation-is-well-defined</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multiscale-primitive-map-to-continuous-cdfs</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multistep-martingale-characterization</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multitape-simulation-has-quadratic-time-overhead</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multivariable-alexander-order-and-specialization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multivariable-geometric-series-on-a-distinguished-boundary</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multivariable-laurent-ring-noetherian-ufd</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multivariate-mean-rate-given-correct-scale-event</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-multivariate-trimmed-mean-selector-total-and-measurable</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-murnaghan-littlewood-top-degree-reduced-coefficients-are-lr-coefficients</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-mutual-independence-under-subfamilies-and-complements</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-n-minus-coinvariants-map-injectively-into-the-kernel-of-the-differential</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-n-plus-invariants-exist-in-every-nonzero-o-module</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-bernoulli-polynomial-identities</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-bluestein-chirp-convolution-factorization</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-bogovskii-fourier-ray-and-derivative-ltwo-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-bogovskii-kernel-support-and-divergence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-bogovskii-truncated-derivative-fourier-formula</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-cell-average-l2-projection</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-chebyshev-degree-bound-from-recurrence</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-chebyshev-integral-moments</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-chebyshev-recurrence-angle-identity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-clenshaw-curtis-dct-i-orthogonality</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-closed-newton-cotes-eight-panel-weights-and-exactness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-compact-support-hcurl-fourier-splitting</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-complex-phase-derivative</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-complex-product-six-operation-roundoff-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-computed-unitary-butterfly-error-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-continuous-pressure-recovery-from-solenoidal-residual</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-contractible-lipschitz-polyhedron-boundary-connected</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-convex-support-localization-and-lipschitz-dual-gradient</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-coordinate-soft-threshold-minimizer</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-d4-multilevel-detail-support-and-moments</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-diagonal-diffusion-discrete-initial-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-diagonal-diffusion-stencil-is-monotone</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-discounted-bellman-policy-matrix-inverse-positive</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-discrete-gradient-lift-gap-estimate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-elliptic-spacetime-jets-imply-parabolic-hjb-inequalities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-eno2-reconstruction-third-order</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-evolutionary-ns-weak-form-is-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-evolutionary-skew-convective-form-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-finite-cover-zero-mean-data-decomposition</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-finite-hermitian-ground-vector-with-deterministic-tie</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-fresnel-integral</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-full-dirichlet-hcurl-regular-decomposition</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-graded-whitney-mesh-size-and-boundary-shifts</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-h1-zero-boundary-is-zero-normal-hdiv</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-hdiv-is-hilbert-and-h0div-closed</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-hdiv-weak-normal-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-lipschitz-scalar-h1-h2-extension</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-lipschitz-support-and-zero-boundary-closure</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-periodic-grid-pressure-laplacian-zero-mode-and-poincare</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-periodic-staggered-grid-smooth-sampling-consistency</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-piola-preserves-rt-bdm-spaces</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-weak-hcurl-tangential-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-weak-local-potentials-and-continuation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-na-whitney-averaged-pullback-moment-bounds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-na-whitney-cochain-correction-and-strong-convergence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-negative-root-power-is-convex</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-negative-seifert-form-represents-algebraic-inverse</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-negative-semidefinite-hessian-at-an-interior-local-maximum</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-negligible-morphisms-form-a-tensor-ideal-by-partial-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nelder-mead-finite-budget-returns-status</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nerode-equivalence-is-a-right-congruence</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neron-model-uniqueness-etale-base-change-and-local-nature</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-dissection-fronts-are-boundary-limited</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-domain-induction-for-interior-elliptic-derivatives</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-ideals-and-quotients</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-iid-fourth-moment-truncation-and-diagonal-control</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-intervals-and-archimedean-imply-bw</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-level-probability-factorization</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-model-deviance-nonnegative</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-normal-subgroups-and-quotients</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nested-pinched-center-frontier-has-a-strict-inner-disk-search</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-network-approximates-smooth-activation-convolutions</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neumann-compatibility-from-the-divergence-theorem</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neumann-coulomb-gauge-correction-by-contraction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neumann-inverse-norm-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neumann-invertibility-for-finite-matrices</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neumann-series-and-small-perturbations-of-bounded-inverses</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neumann-series</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neural-operator-ba-class-is-empty-as-defined</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neural-operator-compact-union-under-uniform-convergence</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-neural-operator-kernel-riemann-sums-uniform-on-compact-inputs</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nevanlinna-blaschke-factorization</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nevanlinna-exterior-three-value-extension</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nevanlinna-growth-dominates-logarithm</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nevanlinna-logarithmic-derivative</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nevanlinna-poisson-jensen-derivative-bound</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nevanlinna-ramification-counting-identity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nevanlinna-sup-mean-criterion</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-newman-damped-contour-estimates</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-newton-contraction-near-an-invertible-derivative</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-newtonian-potential-is-well-defined-for-compactly-supported-bounded-data</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ni-fiberedness-sutured-floer-and-gabai-inputs</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ni-holomorphic-disk-and-jsj-analytic-inputs</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nice-refinement-exists-and-is-not-lindelof</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nilpotent-lefschetz-filtration-is-canonical-and-self-dual</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nitsche-fractional-weak-green-and-flux-cancellation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nitsche-global-boundary-flux-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nitsche-global-fractional-boundary-flux-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nitsche-h-one-zero-functions-have-zero-facet-traces</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nitsche-local-polynomial-flux-inverse-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nitsche-penalty-coercivity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nitsche-scaled-fractional-simplex-trace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-no-augmenting-path-gives-tight-cut</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-no-closed-nonorientable-pl-surface-in-s-three</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-no-new-critical-points-under-a-compact-c1-small-perturbation</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-no-recursive-bound-covers-all-recursive-unary-languages</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-noetherian-approximation-proper-fp-flat-sheaf</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-noetherian-flatness-by-fibres-finite-target-module</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-noetherian-open-subsets-are-quasi-compact</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-noetherian-ring-maximal-element-annihilator-exists</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-noetherian-subspaces-and-compact-opens</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-non-braid-like-reidemeister-moves-are-generated-by-braid-like-moves-and-reductions</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonabelian-supersolvable-group-has-a-noncentral-normal-abelian-subgroup</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonabelian-supersolvable-group-has-the-required-abelian-normal-subgroup</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonaffine-characteristic-zero-group-smooth</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-commutative-torsor-norm-map</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-connected-group-geometrically-connected</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-divisorial-valuation-restriction-model</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-effective-affine-algebra-descent</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-exact-group-sequence-affine-smooth-connected-properties</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonaffine-finite-field-descent-of-morphisms</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-finite-field-descent-scheme-with-affine-orbits</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-finite-galois-descent-of-morphisms</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-finite-relation-saturated-affine-neighbourhood</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-flat-hypersurface-slice</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-fppf-descent-of-scheme-morphisms</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-frobenius-power-ideal-subgroup-descent</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-generic-quasisection-flat-groupoid</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-geometric-properness-field-descent</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-global-sections-flat-field-base-change</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-group-image-exact-quotient-properties</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonaffine-pseudo-abelian-separable-field-extension</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-purely-inseparable-affine-proper-descent</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonaffine-rational-fixed-point-affineness</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-rational-map-normal-to-proper-codimension-two</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-reduced-neutral-subgroup-over-perfect-field</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonaffine-rigidity-proper-geometrically-integral-factor</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-smooth-affine-open-cartier-boundary</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonaffine-smooth-connected-group-has-ample-line-bundle</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-noncharacteristic-complex-stratified-pullback-is-perverse-exact</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-noncommutative-filtered-exponential-and-logarithm</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonconstant-local-uniform-limits-of-univalent-functions-are-univalent</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondegenerate-critical-points-are-isolated</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondegenerate-czero-representations-have-regular-pvms</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondegenerate-dyadic-simplex-determines-unique-sphere</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondegenerate-gaussian-small-ball-controls-log-radius</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondegenerate-interval-is-not-null</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondegenerate-local-holder-beltrami-coordinates</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondentability-produces-a-vector-measure-without-density</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nondeterministic-two-tape-simulation-with-linear-acceptance-time</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonempty-countable-set-has-a-padded-enumeration</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonempty-fixed-vertex-set-of-a-tree-automorphism-is-a-subtree</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonempty-forest-has-low-degree-vertex</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonempty-smooth-scheme-finite-separable-point</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonequivariance-defect-of-an-infinitesimal-moment-map-is-a-constant-lie-algebra-two-cocycle</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonfundamental-least-weight-essential-disks-have-a-pure-boundary-obstruction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nongreen-simply-connected-surface-is-plane-or-sphere</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-noninaccessibility-in-l-produces-a-real-with-correct-omega-one</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonintegral-harish-chandra-tensor-projective-comparison</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonlinear-geometric-iteration-sequence-converges-to-zero</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonlinear-path-extension-is-a-probability-kernel</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonlinear-residual-linearization-error-under-lipschitz-jacobian</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonnegative-kde-integrates-to-one</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonnegative-orthant-log-barrier</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonnegative-square-root-exists-and-unique</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonnegative-test-pairings-imply-a-e-nonnegativity-for-ltwo-functions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonparabolic-adjoint-torus-homology-has-explicit-peripheral-basis</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonprincipal-dirichlet-character-complete-sum</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonprincipal-dirichlet-character-partial-sums</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonreachability-has-an-inductive-counting-certificate</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonreal-dirichlet-l-nonzero-at-one</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonreal-roots-of-a-real-polynomial-occur-in-conjugate-pairs</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonscalar-positive-commutant-elements-split-a-normalized-positive-type-function</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonseparating-longitudinal-surface-in-fibered-exterior-is-fiber</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonsingular-complex-algebraic-curve-holomorphic-charts</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonsingular-indecomposable-kac-moody-algebras-are-simple</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonsingular-principal-minor-of-the-symmetrized-cartan-matrix</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonsquare-tangent-conic-rational-surface-blowups-terminate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nontrivial-knot-exterior-boundary-incompressible</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nontrivial-limitwise-nullhomotopy-class-forces-compact-boundary-leaf</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nontrivial-normal-subgroup-of-a-n-contains-a-three-cycle</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nontrivial-normal-subgroup-of-a-solvable-group-has-an-abelian-normal-subgroup</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonzero-compact-kernel-operators-yield-nonzero-positive-compact-k-star-k</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-derivative-gives-local-biholomorphism</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-echelon-rows-form-a-basis-of-the-row-space</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-finite-dimensional-complex-invariant-subspaces-have-unitary-eigenvectors</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-nonzero-map-invertible-to-locally-free-injective</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-maps-between-specht-quotients-force-dominance</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-multiplicative-functionals-on-lca-lone-are-fourier-evaluations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-number-field-ideal-has-finite-quotient</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-positive-compact-self-adjoint-operators-have-positive-finite-dimensional-eigenspaces</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-real-polynomial-zero-set-is-lebesgue-null</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-nonzero-section-vanishing-at-a-point-has-positive-degree</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-norm-closed-convex-sets-are-weakly-closed</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-norm-implies-strong-implies-weak-operator-convergence</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-norm-of-a-self-adjoint-operator-from-its-quadratic-form</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-norm-point-of-a-compact-self-adjoint-operator-is-an-eigenvalue-up-to-sign</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normal-boundary-hodge-estimate-on-four-dimensional-balls</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-bundle-of-the-diagonal-is-canonically-tm</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-bundle-of-the-zero-locus-of-a-transverse-section</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-closure-of-a-radical-extension-is-radical</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-complete-surface-nonsingular-formal-arc-blowups-terminate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normal-coordinate-matching-equations-and-finite-bounds</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-cover-local-homology-detects-mixed-derived-kernels-without-choice</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-density-has-total-mass-one</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-disk-candidate-check-characterization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-domain-implies-r-one</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-domain-implies-s-two</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-exchange-disk-patches-have-positive-edge-weight</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-extension-separable-over-maximal-purely-inseparable-subextension</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-finite-type-surface-resolution-globalizes-from-complete-local-points</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-form-pde-determines-a-unique-formal-taylor-series</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-form-string-types-and-their-geometric-intersection-contributions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-hall-subgroup-gives-a-coprime-extension</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-isotypical-component-is-inertia-stable</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-isotypical-components-are-permuted-by-translation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-local-surface-radical-multiple-of-a-principal-divisor</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-location-scale-density</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-location-scale-mean-and-variance</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-measure-rowbottom-homogeneity</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-noetherian-domain-intersection-of-height-one-localizations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-p-complements-pass-to-subgroups-and-p-local-normalizers</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normal-push-off-zeros-are-self-intersection-points</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normal-relative-property-t-controls-distance-to-invariant-vectors</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-restriction-constituents-form-one-conjugacy-orbit</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-second-derivative-recovered-from-the-elliptic-equation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normal-surface-modification-uniform-principal-torsion-bound</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normal-surface-normalization-commutes-with-base-completion</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normal-upper-triangular-matrix-is-diagonal</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normalization-factors-through-blowup-of-curve-point</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normalization-unchanged-under-finite-birational-curve-map</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-normalized-approximate-haar-functionals-are-positive-and-invariant-in-the-limit</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normalized-discounted-state-occupancy-is-probability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-normalized-type-a-soergel-bimodules-are-self-dual-and-have-length-degree-bounds</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-null-master-codes-and-summable-slaloms-are-tukey-equivalent</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-omega-least-limit-ordinal</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-omega-smallest-inductive</loc><lastmod>2026-07-25T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-cusped-deformation-parameters-and-holonomy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-one-dimensional-poisson-smoothing-and-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-dimensional-sobolev-endpoint-estimate</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-dimensional-trace-truncation-compatibility</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-dimensional-wave-operator-factorisation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-dimensional-zero-boundary-poincare</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-element-koszul-complex</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-extremum-arc-is-boundary-parallel</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-handle-changes-relative-homology-in-one-degree</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-one-intersection-gives-the-standard-local-cancelling-model</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-one-point-extension-for-finite-dimensional-nonexpansive-map</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-quadrant-homoclinic-disk-has-one-more-interior-center-than-saddle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-one-sided-maximal-inequality-for-symmetric-independent-sums</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-one-step-extension-of-a-partial-injective-resolution</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-step-extension-of-a-partial-projective-resolution</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-one-step-root-extension-over-a-perfect-field-is-algebraically-closed</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-transformation-amplifies-gap</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-transformation-has-constant-factor-growth</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-one-variable-completion-of-the-square-with-a-smooth-parameter</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-one-wl-isomorphism-invariance</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-only-countably-many-fourier-coefficients-are-nonzero</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-only-the-highest-dot-orbit-can-occur-in-the-integrable-numerator</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-open-immersion-monomorphism</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-operators-commuting-with-a-point-separating-family-of-multiplications-are-multiplications</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-opposite-symmetrizable-kac-moody-borels-are-root-degreewise-dual-lie-bialgebras</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-orientation-reversal-is-inverse-in-theta-n</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-oriented-area-vector-under-surface-reparametrization</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-oriented-bordism-classes-over-a-space-form-an-abelian-group</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-oriented-boundary-of-an-intersection-trace-has-opposite-end-signs</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-oriented-facet-cancellation-on-matching-meshes</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-oriented-grassmannian-has-two-lifted-schubert-cells</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-oriented-simplex-comparison-for-an-ordinary-homology-theory</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-oriented-simplicial-subdivision-commutes-with-boundary</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-orthogonal-complement-counting-for-the-commutator-pairing</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonal-complement-is-closed</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonal-complement-of-an-eigenspace-is-invariant</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonal-complements-under-invariant-forms-are-ideals</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonal-fv-compressible-viscous-flux-consistency</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonal-independent-mixing-shared-columns-gaussian</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonal-projection-is-linear-self-adjoint-contractive</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonal-projector-power-error-inequality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthogonality-of-characters-on-a-finite-cyclic-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthonormal-frame-fields-along-a-clean-whitney-disk-in-the-stable-range</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-orthonormal-lasso-soft-thresholding</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-os-disk-and-polygon-analytic-foundations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-os-filtered-convergence-and-invariance-scope</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-os-first-differential-is-reduced-khovanov</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-os-link-surgery-filtered-complex-and-triangle</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-os-unlink-resolution-covers-and-floer-tqft</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-oscillation-characterisation-in-rn</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-oscillation-superlevel-sets-are-closed</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-outer-function-properties</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-outgoing-boundary-of-a-handle-attachment-trades-the-disk-factors</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-outgoing-helmholtz-kernel-is-a-fundamental-solution</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-overlap-controlled-union-lower-bound</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-overlap-of-arc-length-parametrizations-of-a-one-manifold</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-overlapping-plaques-through-a-point-have-compatible-germs</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-overlapping-proper-modules-of-a-connected-anticonnected-graph</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-adic-balls-are-clopen</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-adic-valuation-additive</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-adic-valuation-basic</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-adic-valuation-on-q</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-automizer-condition-implies-fusion-control</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-elementary-characters-are-induced-from-linear-characters</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-elementary-groups-are-supersolvable</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-four-free-pattern-graphs-have-square-root-homogeneous-sets</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-norms-are-norms-and-induce-the-published-metrics</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-power-polynomial-is-irreducible-when-its-constant-is-not-a-pth-power</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-power-torsion-dimensions-recover-elementary-divisors</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-primary-character-value-congruence</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-regular-elements-are-preserved-by-conjugacy-and-coprime-powers</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-residual-is-generated-by-p-prime-elements-and-idempotent</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p-surgery-kills-the-represented-pi-p-class-when-p-is-below-the-middle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-p0-box-projection-is-clipped-cell-average</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa-uniform-bounded-truth-proof-certificates</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-ample-translation-splittings</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-complex-weight-central-character-separation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-flag-tdo-pbw-and-twist</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-global-section-unit</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-localization-adjunction</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-module-global-sections-derived-cohomology</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-nilpotent-normality-and-springer-functions</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-p1-line-bundle-cohomology</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-partial-flag-twist-product</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-principal-nilpotent-borel-orbit</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-qcoh-filtered-union-and-cech-colimits</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-relative-p1-singular-kernel</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-singular-parabolic-kernel</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-singular-verma-chain-and-generation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pa36-twisted-associated-bundle-and-parabolic-descent</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pac-bayes-donsker-varadhan-inequality</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pac-mdp-adaptive-sample-concentration</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pac-mdp-value-simulation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-packing-covering-number-comparison</loc><lastmod>2026-10-19T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-padded-irreducible-characters-have-character-polynomials</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-padding-completion-is-compatible-with-the-internal-product</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-padding-transfers-time-bounds</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-paired-crossentropy-mixture-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-paired-regular-disk-sweep-is-open-across-its-base-gluing</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pairing-preserves-convergence-in-probability</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pairings-of-skeletal-exact-couples-induce-multiplicative-ahss</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pairwise-coprime-divisibility</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-bellman-barrier-with-lebesgue-height-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-bochner-l2-approximate-identity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-bochner-time-mollification</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-dirichlet-laplacian-is-positive-selfadjoint</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-discrete-energy-identity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-domain-map-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-energy-pairing-and-trace</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-hilbert-bnb-criterion</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-mackey-biset-splitting-in-gl-n</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-measurable-form-operators-and-inverse</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-projection-time-product-rule</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-ritz-projection-well-defined</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-theta-step-exists-uniquely</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-weak-compactness-separable-bochner-hilbert</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parabolic-zero-boundary-sobolev-space-is-separable</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-paracompact-hausdorff-cover-shrinking</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-paracompact-hausdorff-is-regular</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-paradoxical-groups-admit-no-invariant-mean</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parallel-awgn-cost-constrained-achievability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parallel-awgn-information-density-convergence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parallel-awgn-single-use-information-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parallelizable-boundaries-form-a-subgroup</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parameter-boundary-exceptions-do-not-affect-surface-integrals</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parameter-dimension-drop-is-exact</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parameter-ideal-equivalent-m-primary</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parameter-ode-flow-tangent-on-common-tube</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parameter-power-series-map-injective-by-dimension</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parameter-power-series-subring-makes-ring-finite</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parameter-selection-avoids-minimal-components</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parametric-immersion-extension-on-a-disk</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parametric-index-grouping-preserves-a-relative-descending-path</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parametric-qmd-score-has-mean-zero</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parametrized-pl-balls-absorb-standard-boundary-windows</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parametrized-relative-elementary-handle-comparison</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parareal-first-k-nodes-are-fine-exact</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parareal-sweep-work-and-span</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-parity-map-of-a-finite-contracted-complex-is-invertible</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-energy-continuous-under-w2</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-feature-flow-moment-and-energy-identities</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-fractions-for-a-split-recurrence-denominator</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-homogeneous-escape-from-nonoptimal-projection</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-homogeneous-negative-level-trapping</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-homogeneous-penalty-is-constant-under-global-hypotheses</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-homogeneous-projection-limit-has-convergent-penalty</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-homogeneous-projection-limit-is-stationary</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-negative-weight-crossing-time</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-projective-resolutions-determine-tensor-homology-in-degree-one</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partial-relaxed-objective-signwise-optimality</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partition-conjugation-is-an-involution</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-partition-localization-of-stokes</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pasted-squares-commute</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-path-class-projection-is-a-covering-map</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-path-conjugation-isomorphism-of-fundamental-groups</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-path-homotopy-traces-braid-isotopy</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-path-metric-on-a-tree-is-geodesic-and-integer-valued</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pbw-for-countably-presented-kac-moody-lie-algebras</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pbw-linear-independence-by-the-regular-representation-on-the-symmetric-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pbw-shows-the-dominant-cyclic-highest-weight-generator-survives</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pbw-spanning-by-ordered-monomials</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pc-fisher-transform-uniform-concentration</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pc-separating-set-collider</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pc-skeleton-separation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pca-sample-covariance-is-a-measurable-estimator</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pcf-cofinality-ideals-and-cutoff-conventions</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pchip-slope-selection-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pchip-slopes-second-order-uniform-grid</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pcp-verifier-reduces-to-gap-max-three-sat</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pda-fragment-variables-compose</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pde-box-control-set-basic-properties</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pde-box-control-set-weakly-sequentially-closed</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pde-l2-control-space-separable</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pdhg-one-step-gap-telescope</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe03-euler-llf-split-state-positive</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe03-hll-half-cell-riemann-averages</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe04-cellwise-l2-projection-exists-best-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe05-discrete-weak-identity-with-source</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe05-hll-depth-flux-decomposition</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe05-hll-dry-face-direction-and-zero-flux</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe05-hll-flux-reconstruction-converges-under-strong-primitive-l1</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe05-source-quadrature-consistency</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe05-strong-l1-limit-preserves-dry-admissibility</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe11-compact-self-adjoint-spectral-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe11-continuous-gauge-compact-embedding</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe11-gauge-conforming-edge-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe11-gauge-space-infinite-dimensional</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe11-hcurl-weak-limit</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe11-smooth-nedelec-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe11-zero-eigenvalue-is-curl-kernel</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-bochner-lp-mollification</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-boundary-preserving-quasi-interpolation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-evolution-energy-chain-rule</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-minty-identification</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-outward-zero-brouwer</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-quasiuniform-mass-inverse-decay</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-space-time-gradient-weak-compactness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-w0p-separable-reflexive</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe12-w1p-compact-l2-embedding</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe18-modal-trace-and-form-continuity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe18-outgoing-spherical-mode-expansion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe18-spherical-hankel-modulus-and-radiation-bounds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe18-spherical-hankel-radial-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe18-spherical-harmonic-structure-and-density</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe26-complementary-primal-dual-spectrum</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe26-discrete-trace-schur-equivalence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe26-log-edge-cutoff-and-discrete-sobolev</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe26-preconditioned-operator-norm-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pe26-scaled-averaging-energy-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-peak-monotone-subsequence</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pell-norm-multiplication</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perfect-complexes-form-a-triangulated-subcategory</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perfect-dg-modules-have-finite-total-ext</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perfect-set-game-strategy-dichotomy</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perfect-subfield-of-a-one-step-root-extension-in-positive-characteristic</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perfect-vertex-deletions-imply-two-narrowness</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perfectness-is-equivalent-to-vanishing-morse-correction-polynomial</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-period-is-constant-on-a-communicating-class</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-period-pairing-is-well-defined-and-computed-by-integration</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-advection-amplification-symbols</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-averaging-on-cube</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-cell-corrector-wellposedness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-cell-poincare</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-characteristic-map-is-orientation-preserving</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-composite-trapezoid-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-conjugate-square-identity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-continued-fraction-is-quadratic</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-continuous-functions-are-determined-by-their-fourier-coefficients</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-cyclotomic-based-sl-two-tensor-corrections-escape-every-finite-cut</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-flow-departure-cells-have-positive-finite-volume</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-flux-corrector</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-fourier-mode-aliasing-under-sampling</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-fv-grid-reaction-diffusion-commutator-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-fv-grid-spatial-consistency</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-heat-difference-amplification-symbol</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-pic-shape-partition-and-quadrature-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-pic-smooth-assignment-weights</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-poincare-spectrum-matches-transverse-monodromy</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-tensor-interpolant-is-convex-and-linf-contracting</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-periodic-tensor-interpolation-hessian-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-peripheral-isomorphisms-of-standard-cusped-hyperbolic-manifolds-give-quasi-isometries</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-permutation-consistency-from-iid-mixture</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-permutation-equivariant-score-map-preserves-exchangeability</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-permutation-mixture-coupling-for-two-sample-u-statistics</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-permutations-with-a-given-cycle-type-count</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perron-envelope-failure-of-the-supersolution-test-allows-a-local-bump</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perron-family-is-nonempty-and-bounded</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perron-kernel</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perturbed-observation-ensemble-kalman-moment-bounds</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perturbed-strong-convexity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-perverse-closed-support-splitting-is-equivalent-to-costalk-stalk-isomorphism</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pfa-raises-the-pseudointersection-number</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ph-adaptive-oracle-transcript-normal-form</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ph-circuit-matrix-final-block-encoding</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ph-quantifier-block-closure</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-phase-border-implies-periodic-bvp-linearization-bounded-inverse</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-phase-bordered-shooting-jacobian-invertibility</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-phase-field-interval-p1-projector-stability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-phase-field-neumann-laplacian-kernel-and-gauge</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-phi-irreducible-chain-has-small-set</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-phi-series-converges-absolutely</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pi-three-so-three-generated-by-the-quaternion-double-cover</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-picard-group-and-intersection-form-of-p1-times-p1</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-picard-group-of-a-point-blowup-of-the-projective-plane</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-picard-operator-is-a-short-time-contraction</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-picard-operator-preserves-a-closed-curve-ball</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-piccirillo-diagram-produces-dualizable-handle-link</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-piccirillo-knot-lee-computations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pid-complex-decomposes-into-two-term-cycle-boundary-pieces</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pid-submodules-of-free-modules-are-free-with-choice</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pid-tensor-two-term-pieces-have-the-kunneth-kernel-and-cokernel</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-piecewise-constant-control-h1-projection-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-piecewise-linear-delay-history-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-piecewise-smooth-embeddings-are-stable-under-fine-c-one-approximation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pigeonhole</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pinn-cell-occupancy-controls-uniform-residual</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pinn-random-samples-are-space-filling</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pinn-residual-loss-from-fill-distance</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pl-embedded-polyhedron-admits-compatible-subcomplex-triangulation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pl-height-product-caps-replace-by-one-extremum</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-barrier-controls-perron-solutions</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-brownian-annular-exit-probability</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-configuration-spaces-have-vanishing-pi-two-by-simultaneous-induction</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-diagram-code-realizability-and-face-validation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-facial-graph-isomorphism-extension</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-fmm-multipole-local-translation-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-fmm-pair-lists-partition-off-diagonal-pairs</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-planar-piecewise-analytic-region-triangulation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-arc-complements-and-accessible-jordan-points</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-curve-multiplicity-transform-chart</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-edge-face-incidence</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-exterior-of-a-closed-disc-is-path-connected</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-face-handshake-by-girth</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-gaussian-integral-in-polar-coordinates</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-graph-faces-are-finite-with-one-unbounded-face</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-syzygy-truncation-injectivity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plane-triangulation-is-connected</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plucker-map-well-defined-injective</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-plurality-consistency-along-middle-walk-positions</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pmea-three-quarter-separation-estimate</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poincare-dual-orbits-are-regular-homogeneous-borel-spaces</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poincare-homology-sphere-is-nontrivial-integral-homology-sphere</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-point-blowup-of-integral-curve-is-finite</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-point-divisor-exact-sequence-and-euler-characteristic-step</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-point-filters-are-dense-in-the-minimal-cauchy-filter-space</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-point-process-law-is-determined-by-count-fidi</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-point-wedges-preserve-a-common-triangle-minsize-bound</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointed-flat-pl-caps-admit-saddle-free-replacements</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointed-odd-barnatan-tensor-product-over-marked-rings</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointed-spherical-recharting-preserves-odd-barnatan-complexes</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-points-of-fibre-primes-over-point</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-points-of-scheme-fibre-product-residue-tensors</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointwise-cdf-convergence-to-a-continuous-law-is-uniform</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointwise-closure-preserves-equicontinuity</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointwise-convergent-uniformly-bounded-operators-converge-uniformly-on-compact-sets</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointwise-limits-of-characters-are-characters</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointwise-lipschitz-sets-in-c01-are-closed</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pointwise-potential-bound-for-compactly-supported-smooth-functions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-count-law-normalization-and-moments</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-integral-moment-identities</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-integral-of-a-singular-circle-measure-has-zero-nontangential-limit</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-integrals-are-harmonic</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-jensen-inequality-hardy-functions</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-kernel-boundary-cap-and-complement-estimate</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-kernel-is-a-boundary-approximate-identity</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-kernel-on-the-circle-is-a-positive-approximate-identity</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-kernel-properties-on-the-disc</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-nmf-updates-preserve-positivity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-tau-leap-moment-and-covariance-identities</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poisson-tau-leap-one-step-weak-defect</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polar-decomposition-and-nonzero-partial-isometries-in-factors</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polarized-hodge-structures-have-orthogonal-semisimple-substructures</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-policy-score-has-zero-conditional-mean</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-policy-value-satisfies-bellman-equation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polish-closed-products-and-baire-parametrization</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polygonal-arc-does-not-separate-the-plane</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polygonal-boundary-crossing-for-affine-disk-maps</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polygonal-crossing-parity-is-locally-constant</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polygonal-length-is-monotone-under-refinement</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polygonal-ray-general-position</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polygonal-schema-reduction-moves</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polygonally-reachable-set-is-clopen</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polyhedral-event-restricts-contrast-to-interval</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-activation-bounded-degree-obstruction</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-algebras-over-fields-are-integrally-closed</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-calculus-is-isometric-for-self-adjoint-operators</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-clutching-families-stabilize-to-linear-clutching</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-convolutions-force-activation-polynomial-ae</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-diagonal-differences-form-a-regular-sequence</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-extension-depth-increases-by-one</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-factorisation-into-irreducibles</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-gcd-is-stable-under-field-extension</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-highest-derivative</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-ideal-finite-generation</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-kernels-and-images-are-invariant</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-local-regularity-fibre-step</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-operations-preserve-finite-support</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-prime-contraction-height-jump-at-most-one</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-quantum-highest-vectors-satisfy-all-divided-power-relations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-quantum-schur-first-level-weyl-filtration-and-hecke-corner</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-reductions-compose</loc><lastmod>2026-09-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-ridge-functions-dense-on-compact-sets</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-ring-dimension-lower-chain</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-ring-dimension-upper-bound</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-space-oracle-absorption</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-squarefree-decomposition-and-multiplicity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomial-time-computations-have-logspace-uniform-circuits</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polynomials-and-roots-transport-along-field-isomorphisms</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-polytabloid-covariance-and-column-sign</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pontryagin-thom-converts-bordism-detection-to-a-thom-space-homotopy-problem</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pontryagin-thom-signed-preimage-count-equals-the-dg-degree</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-pooled-mixture-projection-and-variance</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-population-and-empirical-risk-are-measurable</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-poset-mobius-recurrence</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-position-derivative-commutator-estimate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-and-negative-parts</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-area-compact-sets-are-not-conformally-removable</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-artin-relations-preserve-homogeneous-length</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-c-zero-functionals-have-finite-regular-representing-measures</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-characteristic-specht-head-and-cyclotomic-crystal-labels-agree</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-characteristic-top-differentials-map-to-blown-up-canonical-module</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-clifford-mass-difference-clutching-comparison</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-codimension-thickening-reduces-closed-sources-to-the-open-case</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-compactly-supported-transform-bump-on-the-dual</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-conormal-degree-of-a-fibre-divisor</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-convex-polygon-winding-index</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-positive-definite-bundle-endomorphisms-have-smooth-positive-square-roots</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-rbf-augmented-system-is-invertible</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rcbd-nested-contrast-model-and-projection</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reachability-count-is-verifiable-in-nl</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reachable-decomposition-and-state-feedback-pole-placement</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-read-only-workspace-diagonal-machine-halts</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-read-only-workspace-simulates-in-all-tapes-space</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-read-only-workspace-universal-simulation</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-and-complex-c-zero-are-banach</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-and-complex-modulus-rules</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-and-metric-notions-agree</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-and-quaternionic-spinor-module-morita-evaluation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-and-symplectic-clutching-groups-in-low-degrees</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-cdf-and-bounded-continuous-definitions-agree</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-cholesky-recurrence-computes-factorization</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-clifford-block-rotation-index-lower-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-clifford-involutions-and-norm</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-clifford-low-dimensional-models</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-clifford-restriction-matrices</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-clifford-signature-recurrences-and-periodicity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-complex-hilbert-source-powers-and-tikhonov-filter-bounds</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-dirichlet-l-nonzero-at-one</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-division-algebra-tensor-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-francis-double-shift-polynomial</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-gaussian-han-kobayashi-inner-region</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-gaussian-interference-genie-outer-region</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-gaussian-multiple-access-random-coding-region</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-interval-arithmetic-preserves-enclosure</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-jacobian-determinant-of-a-complex-linear-map</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-l-two-kernel-operator-is-bounded-and-rank-one-compatible</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-line-exponential-tail-integrable</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-line-is-a-metric-space</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-line-is-standard-borel</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-local-spin-lift-by-matrix-logarithm</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-ltwo-multipliers-and-unitary-transport</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-orthogonal-polar-decomposition</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-orthogonal-space-preliminaries</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-part-determines-a-complex-linear-functional</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-part-of-a-self-adjoint-complex-function-algebra</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-polynomial-factor-at-a-root</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-polynomial-splitting-suffices-for-the-fundamental-theorem-of-algebra</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-power-improper-integral</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-power-lebesgue-integrability</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-power-preserves-measurability</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-projective-space-cellular-homology-and-pinch-map</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-quaternions-form-a-division-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-scaled-gaussian-product-expectation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-real-singular-cochains-identify-with-functions-on-the-supplied-simplex-basis</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-real-stiefel-spaces-with-complement-rank-at-least-two-are-simply-connected</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-real-vectors-with-equal-pairwise-products-and-larger-norms-are-independent</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-reciprocity-rectangle-lattice-count</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rectangle-second-difference-mean-value-formula</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-recurrent-pi-side-leaf-identifies-a-distinct-accessibility-boundary-class</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-reduced-khovanov-over-f2-basepoint-independence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reduced-noetherian-total-fractions-and-normal-components</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-reduced-original-normal-pairs-for-a-least-weight-essential-disk-have-no-spherical-summand</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-reduced-two-disk-sums-of-least-fundamental-disks-have-no-closed-exchanges</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reducing-move-peaks-can-be-lowered-to-the-four-band-case</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reduction-of-an-og-lattice-is-a-finite-dimensional-kg-module</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reduction-of-characteristic-zero-simple-modules-modulo-p</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-reduction-of-the-integral-bockstein-is-the-first-steenrod-square</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reductive-center-radical-and-semisimple-quotient</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-rees-module-finiteness-and-stable-filtrations</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-refined-gysin-commutation-and-composition</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-refinement-inequalities</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-refining-the-largest-layout-block-forces-local-blockade-length-at-least-epsilon-inverse</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-reflection-basic-invariants-form-a-regular-sequence</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reflection-green-function-for-the-half-space</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reflection-of-an-outward-field-extends-over-the-double</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reflection</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-banach-constraint-directions-are-realised-by-level-set-curves</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-base-dualizing-traces-compose-on-rational-modifications</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-base-surface-cartier-curve-canonical-adjunction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-conditional-kernels-factor-through-a-standard-borel-conditioning-variable</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-conditional-kernels-push-forward-under-measurable-random-maps</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-curve-chart-and-pseudo-arclength-predictor-defect</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-element-exists-by-prime-avoidance</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-element-reduction-preserves-minimal-resolution</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-elements-form-a-connected-dense-open-subset</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-exhaustion-and-dirichlet-on-riemann-surfaces</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-functions-form-sheaf-classical</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-holonomic-phase-residuals-control-distance-to-phase-manifold</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-holonomic-phase-space-is-symplectic-cotangent</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-homotopy-preserves-the-formal-gauss-class</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-immersion-koszul-ext-sheaf</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-immersion-local-to-global-ext-collapse</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-lindelof-spaces-are-normal</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-regular-lindelof-spaces-are-paracompact</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-reml-error-contrast-covariance-is-positive-definite</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-removing-unreachable-states-preserves-language</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reparameterized-variational-training-finite-run-terminates</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rephasing-changes-the-factor-set-by-a-coboundary</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-replacement-invariant-derived-enriched-mapping-spaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-replicating-a-vertex-of-a-perfect-graph-preserves-perfection</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-replication-number-is-constant-in-a-two-design</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-representations-of-affine-group-schemes-are-comodules</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-representations-of-diagonalizable-groups-are-sums-of-eigenspaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-representative-functions-form-a-self-adjoint-translation-invariant-algebra</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rescaled-ultradistance-is-a-quotient-metric</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reset-error-after-a-mistimed-hybrid-event</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residual-augmentation</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residue-casimir-operators-give-local-affine-hecke-actions</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residue-exact-differential-zero</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residue-field-splits-off-reduced-maximal-ideal</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residue-independent-uniformizer</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residue-pairing-descends-cohomology</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residue-pairing-functorial-line-bundle</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-residue-simple-pole</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-resolution-is-functorial-under-smooth-maps</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-resolvent-identity-and-holomorphy-for-closed-operators</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-resolvent-identity</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-resolvent-star-algebra-is-dense-in-c-zero</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restricted-matern-native-space-is-sobolev</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restricted-regular-representation-is-weakly-contained-in-subgroup-regular-representation</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restrictedness-is-complement-invariant</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-and-extension-estimates-are-dual</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-fibres-for-embeddings-in-a-finite-tower</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-of-formal-immersion-data-has-the-parametric-lifting-property</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-of-injective-group-modules-is-injective</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-of-marked-ideal-to-a-smooth-subvariety</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-of-scalars</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-to-a-containing-p-subgroup-retains-a-vertex</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-restriction-to-two-block-subgroup-has-lr-multiplicities</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-resultant-detects-common-projective-point</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-retarded-delay-gronwall-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-retarded-euler-and-delay-midpoint-work-and-storage</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-retract-of-a-noetherian-ring-is-noetherian</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-return-cycle-occupation-measure-and-minimality</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reversal-anti-involution-commutes-with-hecke-bar</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reversal-is-an-involution-and-reverses-concatenation</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reverse-holder-from-a-distribution-estimate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reverse-mirror-sum-has-a-ribbon-immersion</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reverse-triangle-inequality-in-a-normed-space</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reversed-kernels-and-generator-identity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reversed-smoothing-generator-and-martingale</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reversing-a-cobordism-gives-symmetry</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-revised-simplex-basic-feasible-extreme-point-equivalence</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-reynolds-operator-and-invariant-subring-properties</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rho-length-and-extremal-length-are-well-defined</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rho-minus-w-rho-is-a-sum-of-positive-roots</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rho-shift-intertwines-the-dot-and-ordinary-weyl-actions</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ribbon-immersion-and-no-maximum-disk-presentations-are-equivalent</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ribbon-singularity-local-resolution</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ribbon-trace-equals-the-framed-closure-evaluation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riccati-comparison-for-scalar-initial-shape</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riccati-finite-budget-wrappers-return-a-status</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ricci-curvature-is-symmetric-and-basis-independent</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rice-witness-machine-construction</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ridgeless-risk-decomposition</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-integrable-function-has-borel-darboux-envelopes</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-integral-linearity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-integral-unchanged-by-content-zero-modification</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-lebesgue-comparison-for-distribution-test-integrands</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-map-extremal-derivative-is-attained</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-map-extremal-derivatives-are-positive-and-bounded</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-map-extremal-family-is-nonempty</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-map-extremizer-is-surjective</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-map-extremizer-is-univalent</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-maps-of-jordan-domains-extend-homeomorphically</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-roch-space-finite-dimensional</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-stieltjes-integral-unique</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-stieltjes-refinement-estimate</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemann-zeta-dirichlet-series-converges-locally-uniformly</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemannian-gradient-vanishes-exactly-at-critical-points</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemannian-length-is-independent-of-piecewise-c-one-subdivision</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riemannian-trust-region-ratio-accuracy-for-small-radii</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riesz-lemma</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riesz-potential-near-far-splitting</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riesz-product-for-a-hadamard-lacunary-set</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riesz-schauder-ascent-and-descent-stabilize</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riesz-thorin-bound-on-the-finite-simple-core</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riesz-transform-kernels-have-explicit-size-difference-and-spherical-cancellation-bounds</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-riesz-transform-principal-value-kernel-formula</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-right-descent-soergel-bimodules-descend-to-simple-invariants-under-the-character-hypothesis</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-right-translation-scales-left-haar-measure</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-right-trefoil-has-genus-one</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-right-trefoil-is-prime</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-right-trivialized-differential-of-the-lie-group-exponential</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rigidity-of-alternating-multilinear-matrix-functions</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ring-detected-at-associated-prime-localizations</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ring-elementary-consequences</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ring-homomorphism-basic-properties</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ring-homomorphism-of-fields-is-a-field-homomorphism</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ring-units-form-a-group</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ringed-space-module-sheaves-enough-injectives</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rkc-chebyshev-stage-perturbation-amplification</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rmk-compact-set-formula-and-local-finiteness</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rmk-functional-outer-content-is-well-defined</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rn-densities-of-bounded-l-p-functionals-belong-to-l-q</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rnp-is-invariant-under-banach-space-isomorphism</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rnp-is-separably-determined</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rnp-may-be-tested-on-the-lebesgue-interval</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-robbins-siegmund-almost-supermartingale</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-robinson-schensted-recording-tableau-is-standard</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-robust-edge-circuit-has-distance-gap</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rodl-initialization-removes-the-constant-scale-restriction-in-the-property-star-four-outcome-theorem</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rodl-initialization-upgrades-generalized-niceness-to-a-restricted-set-blockade-or-polynomial-clique-or-stable-set</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-rolle-theorem-from-extreme-values</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-roof-equivalence-is-an-equivalence-relation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-root-coordinate-cells-and-generation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-root-datum-combinatorics</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-root-free-polynomial-circle-loops-are-nullhomotopic</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-root-fusion-rules-and-simple-object-completeness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-root-group-expansion-of-a-weight-vector</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-root-handlebody-pairing-nondegeneracy-and-gluing</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-schwartz-dense-in-fourier-bessel-potential-space</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-schwartz-functions-and-all-derivatives-are-integrable</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-schwartz-parameter-pairing-and-integral-interchange</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-schwartz-periodisation-over-a-lattice-is-smooth-and-uniformly-summable</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-schwartz-space-is-dense-in-l-two</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-schwarz-additive-inverse-is-local-energy-minimum</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-schwarz-local-corrections-are-energy-orthogonal-projections</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-schwarz-p1-product-cutoff-interpolation-energy-estimate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-score-means-as-threshold-rate-areas</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sda-doubling-composition-and-psd-invariants</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sdc-fixed-point-is-collocation-stage</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sdc-scalar-linear-iteration-matrix</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sdc-sweep-work-and-storage-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-second-countable-group-c-star-algebra-has-a-sequential-approximate-identity</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-second-countable-group-c-star-algebra-is-separable-with-a-countable-dense-star-subalgebra</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-second-countable-lch-spaces-are-standard-borel</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-second-countable-smooth-manifolds-have-cw-homotopy-type</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-second-order-jet-on-a-regular-level-set</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-second-order-kernel-convolution-l2-bias-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-second-resolvent-identity-for-closed-operator-perturbations</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-section-ring-of-ample-line-bundle-finitely-generated</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-section-zero-if-all-germs-zero</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sectional-curvature-is-independent-of-the-basis-of-the-plane</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sections-near-a-compact-set-are-sections-on-that-set</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sections-of-an-associated-line-bundle-as-equivariant-functions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-seifert-boundary-fiber-slopes-unique-except-small-pieces</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-seifert-matrices-of-a-knot-are-s-equivalent</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-semifinite-measures-have-arbitrarily-large-finite-subsets</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-separable-type-i-factors-are-multiples-of-irreducible-representations</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-separated-stable-under-base-change</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-separated-stable-under-composition</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-separation-of-disjoint-closed-invariant-subsets-by-an-invariant</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-sequence-spaces-continuously-inject-into-the-real-line</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-sequential-closure-inside-closure</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-serre-r-zero-s-one-characterises-reducedness</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-serre-vanishing-induction-hyperplane</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-set-partitions-of-a-finite-set-are-finite</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-set-sized-parallel-henkinization-preserves-consistency</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-setting-a-to-zero-in-a-closed-kr-factorization-gives-the-wide-edge-koszul-complex</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sgd-trajectory-integrability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shamir-protocol-has-perfect-completeness</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shamir-qbf-verifier-runs-in-polynomial-time</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shape-operator-and-gauss-kronecker-curvature-of-a-graph</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shape-regular-affine-simplex-scaling</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shapiro-lemma-and-induced-modules-are-acyclic</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shapovalov-determinant-hyperplane-factorization</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shared-minimum-poisson-count-coupling</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sharp-cantor-interval-mass-bound</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sharp-dirichlet-poincare-inequality-on-an-interval</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sheaf-cohomology-classes-as-derived-morphisms</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sheaf-condition-check-on-basis</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sheaf-differentials-affine-compatibility</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sheaf-nakayama-fibre-detects-generation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sheaf-section-over-empty-set-terminal</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sheaf-supported-on-a-closed-subset-is-a-pushforward</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shear-images-of-the-unit-cube-have-lebesgue-measure-one</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shelah-continuous-unions-of-sweetness-models</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shelah-homogeneous-truth-has-baire-representatives</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shelah-inner-model-is-closed-under-ambient-omega-sequences</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shelah-real-name-capture-and-coded-meagre-unions</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shelah-sweet-density-transfer-along-complete-suborders</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shelah-sweet-forcings-are-sigma-directed-ccc</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shelah-universal-meagre-forcing-absorbs-old-nowhere-dense-sets</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shifted-adic-koszul-filtration-euler-comparison</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shifted-character-multiplication-by-p-k</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shifted-elliptic-solution-operator-is-compact-on-ltwo</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shifted-norm-of-a-weight-is-maximal-only-at-the-top-weight</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shifts-of-a-weight-one-word-realise-each-count-of-nonpositive-partial-sums-once</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-bounded-open-set-hilbert-evolution-triple</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-elliptic-energy-estimate</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-elliptic-residual-stability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-interior-parabolic-schauder-estimate</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-parabolic-classical-approximation-and-boundary-attainment</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-parabolic-energy-estimate</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-parabolic-residual-stability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-pinn-all-scale-cell-mass-assumption-inconsistent</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-radial-smooth-cutoff</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-smooth-dirichlet-approximants-from-sobolev-bootstrap</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-uniform-boundary-schauder-estimate-for-smooth-dirichlet-approximants</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shin-zero-data-parabolic-classical-energy-identification</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-short-loop-relators-give-a-finite-dehn-presentation</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-shuffle-coproduct-coassociative-cocommutative-conilpotent</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sigma-cellular-base-yields-a-compatible-metric</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sigma-finite-caratheodory-sets-have-generated-measurable-hulls</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sigma-finite-ergodic-oscillation-sets-have-finite-measure</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sigma-series-cauchy-adjoint-and-reproducing-kernel-identities</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sign-preservation-near-a-limit</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sign-reversing-involution-on-intersecting-path-systems</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signature-additivity-under-gluing</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signature-and-l-genus-agree-on-complex-projective-spaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signature-and-l-genus-agree-on-products-of-complex-projective-spaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signature-is-additive-under-disjoint-union-and-orientation-reversal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signature-is-independent-of-basis-and-field-extension-from-rationals-to-reals</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signed-bl-norm-dominated-by-split-coupling-cost</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signed-narrow-convergence-controls-bochner-moments</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-contact-nodal-test-functions-surjective</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-contact-set-closed-convex-nonempty</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-dual-mortar-biorthogonality-and-infsup</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-elasticity-form-bounded</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-nodal-contact-set-conforming</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-partial-dirichlet-korn-coercivity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-partial-trace-space-bounded</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-signorini-rigid-motion-controlled-by-dirichlet-segment</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-approximants-converge-uniformly-on-a-large-closed-set</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-continued-fraction-convergents-and-cylinders</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-finite-extension-has-finitely-many-intermediate-fields</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-fold-complement-restriction-is-an-isomorphism</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-functions-satisfy-lusins-theorem-on-a-finite-measure-set</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-generator-weights-extend-to-a-weight-function</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-highest-weight-modules-are-restricted-self-dual</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-khovanov-seidel-modules-have-explicit-finite-projective-resolutions</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-lifted-caps-avoid-the-original-essential-loop-and-a-fixed-intrinsic-neighborhood</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-positive-braids-are-indexed-by-permutations</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-pvm-integral-is-representation-independent</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-rational-representations-are-finite-dimensional</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-reflection-double-coset-rule</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-reflections-preserve-weight-multiplicities</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-ribbon-fusion-dimensions-are-nonzero</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-root-form-recovers-factor-lifting</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-root-hensel-lifts-idempotents</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-root-integrability-bounds-the-dominant-cyclic-module</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-root-power-relations-generate-the-integrable-quotient</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-root-singular-vector-in-a-verma-module</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simple-root-to-coprime-factorisation</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplex-factor-reversal-is-chain-homotopic-to-the-identity-diagonal</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplex-integrals-are-independent-of-affine-coordinate-identification</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplicial-algebra-cotangent-adjunctions-before-deriving</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplicial-boundary-is-independent-of-oriented-representative</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplicial-boundary-squared-zero</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplicial-chain-maps-carried-by-specified-cones-are-chain-homotopic</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplicial-four-polytope-facet-count</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplicial-normalization-prism-and-trivial-fibration-criterion</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simplicial-to-singular-chains-commute-with-boundaries</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simply-connected-hypersurface-complement-adds-free-generator</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simply-connected-pl-end-has-spherical-compact-neighborhoods</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simply-laced-quantum-braid-symmetries-preserve-the-integral-form</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simpson-panel-peano-kernel</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simultaneous-ae-uniqueness-of-regular-conditional-distributions</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simultaneous-peripheral-full-turn-equations-have-small-solutions</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simultaneous-rational-conditional-distribution-function-versions</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-simultaneous-smooth-approximation-in-l-one-and-l-two</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sine-and-cosine-series-converge-everywhere</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sine-chord-and-lipschitz-bounds</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sine-positive-and-cosine-decreasing-on-zero-two</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-single-wall-tensor-weight-exclusion</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-augmentation-commutes-with-boundary</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-boundary-descends-to-relative-chains</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-chain-cross-product-boundary-formula</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-dot-weights-have-zero-line-bundle-cohomology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-kernel-sine-integral-under-countable-choice</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-planar-diagrams-have-controlled-coarse-disk-thickenings</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-product-chain-equivalence-by-simplex-models</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-uct-extension-from-cycle-projections</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-value-product-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-values-equal-approximation-numbers</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-singular-values-lipschitz-in-spectral-norm</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sipdg-adjoint-consistency-h2</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sipdg-boundedness-augmented-norm</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sipdg-discrete-flux-inverse-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sipdg-energy-seminorm-is-a-norm</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sipdg-physical-simplex-trace-green</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sir-bounded-potential-unnormalized-update-variance</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-skein-module-isomorphism-respects-framings-and-boundary</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-skeletal-homology-stabilizes-away-from-the-cell-dimension</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-skew-hermitian-matrix-exponential-is-unitary</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-skolem-hull-size-and-elementarity</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-skolem-witness-closure-on-a-cardinal</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl-n-r-is-boundedly-generated-by-elementary-root-subgroups</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl-two-character-trace-coordinate-model</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-character-trace-coordinate-algebra</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-matrix-invariants-by-epsilon-contractions-and-traces</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-r-has-no-invariant-probability-on-the-projective-line</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-r-semidirect-r2-has-relative-property-t</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-raising-and-lowering-formulas-in-the-compact-picture</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-representation-variety-is-affine</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-small-quantum-group-root-power-quotient-is-hopf</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-structure-and-root-coordinates</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sl2-trace-functions-are-regular-and-invariant</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-branched-cover-produces-definite-four-manifold</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-chart-restrictions-form-a-smooth-atlas</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-disk-complement-h1-is-generated-by-meridian</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-disk-double-cover-is-rational-homology-ball</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-disk-exterior-has-homology-of-a-circle</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-disk-induces-branched-cover-metabolizer</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-disk-induces-seifert-metabolizer</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slice-knot-floer-complex-stably-equivalent-to-unknot</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slicing-and-tracing-are-mutually-inverse-on-classes</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slicing-lemma-for-regular-pairs</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slim-triangles-imply-the-gromov-product-inequality</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slobodeckij-mollification-approximation-rates</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slobodeckij-seminorm-controls-dyadic-level-sets</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-slobodeckij-seminorm-is-well-defined</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-anticonnected-components-yield-a-complete-blockade</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-block-determinant-separation-lower-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-critical-curvature-coulomb-gauges-on-four-balls</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-dowker-ch-gives-luzin-set</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-dowker-coloring-gives-ad-guessing</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-dowker-ladder-normality</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-dowker-ladder-shrinking-obstruction</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-dowker-luzin-gives-tight-coloring</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-small-four-square-multiple-of-a-prime</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-integer-matrix-linear-algebra-in-quadratic-logarithmic-space</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-open-excess-implies-lebesgue-measurable</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-projective-modules-are-exactly-finitely-generated-projective-modules</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-root-unity-image-has-braid-stable-pbw-decompositions</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-set-coupling-converges-from-almost-every-start</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-step-implicit-rk-branch-and-residual-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-total-copy-expectation-forces-many-homogeneous-k-sets</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-small-tower-exists</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smc-centered-filtering-feynman-kac-contraction</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smc-multinomial-resampling-clt</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smc-multinomial-variance-unrolls</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smc-mutation-and-weighted-correction-clt</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smc-residual-resampling-clt-away-from-integer-weights</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smirnov-class-quotient-characterisation</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smolyak-adaptive-surplus-termination</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smolyak-dyadic-tensor-simpson-convergence</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smolyak-mixed-simpson-detail-decay</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smolyak-rectangular-telescope</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-and-topological-knot-concordance-is-an-equivalence-relation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-and-topological-slice-genus-minima-exist</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-arcs-and-circles-are-removable-for-quasiconformal-maps</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-ball-windows-and-boundary-disk-absorption</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-beltrami-coefficients-admit-quasiconformal-solutions</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-bump-between-concentric-euclidean-balls</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-chart-compatibility-is-symmetric-and-reflexive</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smooth-compactly-supported-functions-are-dense-in-ltwo-of-an-open-set</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smooth-euclidean-hypersurface-graph-and-localization</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smooth-families-and-path-components-in-the-weak-topology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smooth-functional-extends-to-negative-sobolev-space</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-half-space-extensions-have-the-same-derivatives-on-the-half-space</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smooth-hyperplane-slice-at-transverse-point</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-smooth-maximal-functions-of-tempered-distributions-are-borel-measurable</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-multiplicative-type-groups-are-generated-by-their-finite-subgroups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-nonpolynomial-activation-dense-on-compact-intervals</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-orientation-sign-is-the-local-integral-homology-multiplier</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-parametric-primitives-for-a-smooth-exact-family-on-a-compact-manifold</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-plane-curve-unique-tangent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-polynomially-bounded-multipliers-on-schwartz-space</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-projective-analytification-has-rational-kahler-polarization</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-projective-embedding-gysin-trace-compatibility</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-projective-modification-preserves-open-cohomology-images</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-projective-morphisms-give-polarizable-rational-gauss-manin-variations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-projective-rational-point-koszul-residue-normalization</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-proper-complete-dvr-geometric-generic-connectedness</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-proper-disks-have-compatible-pl-approximations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-psh-exhaustion-implies-hartogs-pseudoconvexity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-pullback-of-multiple-test-blowups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-quasiprojective-varieties-admit-snc-projective-compactifications</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-regularization-of-psh-exhaustion</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-relative-isotopy-extension-for-disk-arcs-with-puncture-endpoints</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-residual-independence-has-pointwise-density-factorization</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-residual-quotient-extension</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-simple-characteristic-eigenpairs</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-slice-iff-concordant-to-unknot</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-sphere-data-have-a-harmonic-replacement</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-to-pl-knot-exterior-ambient-isotopy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-trigonalizable-group-normal-series-refinement</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smooth-unit-mass-compact-bump-on-euclidean-space</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smoothing-backward-kernel-bayes-factorization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smoothing-formal-immersion-families</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smoothing-genuine-immersion-families</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smoothness-at-the-boundary-is-independent-of-charts-and-extensions</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-smoothness-stable-under-product-classical</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sobolev-integration-by-parts-for-dual-exponents</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sobolev-level-set-iteration-step</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sobolev-norm-is-well-defined-and-definite</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sobolev-pasting-across-an-overlap</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sobolev-taylor-grid-approximation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sobolev-trace-agrees-with-continuous-boundary-values</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sobolev-zeros-bound-on-a-cone-domain</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-soft-2dyck-crossentropy-gap-paired-prefixes</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-soft-attention-one-symbol-influence</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-soft-margin-svm-primal-attainment</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sokal-local-operator-norm-lower-bound</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-absorption-factorization-and-homogeneity</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-almost-disjoint-extension-under-ma</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-borel-code-and-regularity-absoluteness</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-collapse-localizes-countable-ordinal-data</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-construction-is-uniformly-formalizable</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-homogeneous-truth-has-borel-representatives</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-inner-model-is-closed-under-ambient-omega-sequences</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-perfect-tree-of-mutually-generic-name-interpretations</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-random-and-cohen-generics-are-large</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-solovay-universal-measurability-transfers-to-euclidean-spaces</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-source-algebra-is-caratheodory-measurable</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-space-bounded-machine-configuration-count</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-space-bounded-machines-have-exponentially-many-configurations</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-space-bounded-universal-simulation</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-space-diagonal-machine-halts</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spacetime-law-of-a-narrow-probability-curve</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-span-is-the-set-of-linear-combinations</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-span-monotone-and-idempotent</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-span-of-a-single-vector</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spanning-tree-exchange</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spanning-tree-set-is-finite</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spanning-trees-and-schreier-systems-correspond</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sparse-hamming-packing</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sparsity-depends-only-on-the-induced-subgraph</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sparsity-is-monotone-in-the-parameter</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sparsity-transfers-to-a-large-subset</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spatial-and-time-derivatives-pass-through-heat-convolution-for-positive-time</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-specht-branching-subspaces-are-invariant</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-specht-branching-successive-quotients</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-specht-gram-gcd-detects-p-regularity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-specht-module-has-nondegenerate-self-pairing-in-characteristic-zero</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-specht-modules-classify-irreducibles-over-characteristic-zero-fields</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-special-copy-trichotomy-produces-a-restricted-blockade</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-specialization-dense-domains-and-union</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-flattening-preserves-gap-and-symmetries</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-form-domain-and-core-of-a-semibounded-operator</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-gap-persistence-and-uniform-resolvent-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-measure-multiplicity-model-for-a-transitive-system</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-measure-of-a-representation-of-an-abelian-lch-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-network-matrix-cover</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-network-output-covering-entropy</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-permanence-for-unital-c-star-subalgebras</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectral-sequence-subquotient-and-local-lifting-calculus</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-compactness-open-cover-to-unit-ideal</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-compactness-unit-expression-finite-subcover</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-localization-open-immersion</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-map-preimage-of-vanishing-set</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-map-respects-composition-and-identities</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-map-stalk-homomorphisms-local</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-of-a-finite-product-ring-is-a-disjoint-union</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-of-a-positive-operator-is-nonnegative</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spectrum-of-a-self-adjoint-operator-is-real</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sph-pair-forces-antisymmetric-and-central</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sphere-and-ball-measures-scale</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sphere-and-torus-monomial-integrals</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sphere-contact-guard-normal-and-reset-lipschitz-bounds</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sphere-endomorphisms-act-by-the-same-integer-in-every-ordinary-theory</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sphere-finite-graph-charts-and-surface-density</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spheres-of-adjacent-critical-levels-have-product-neighbourhoods</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spherical-bessel-and-hankel-radial-solutions</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spherical-cap-and-dual-slab-scales</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spherical-harmonics-form-complete-basis-and-addition-formula</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spherical-means-of-smooth-data-are-smooth</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spherical-principal-series-is-the-flag-permutation-module</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spherical-surface-integrals-project-onto-weighted-ball-integrals</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spin-c-structures-form-an-h2-torsor</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spin-structures-exist-iff-w2-vanishes-and-form-h1-torsor</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-spinor-and-clifford-associated-bundles-are-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-splicing-edge-disjoint-closed-trails</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-splitting-cofinal-branch-gives-antichain</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-splitting-reaping-comparison-with-b-and-d</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-splitting-stationary-sets-of-fixed-cofinality</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-square-integer-cokernel-finiteness-and-order</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-square-integrable-kernels-define-bounded-compact-integral-operators</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-square-integrable-markov-transition-conditional-expectation</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-square-integrable-predictable-step-ito-integral-is-finite-sum</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-square-root-kalman-householder-error-rational-envelope</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-square-root-kalman-prearray-qr-error-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-square-root-kalman-prediction-factor-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-square-root-kalman-schur-perturbation-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-square-root-kalman-triangular-solve-forward-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-stopped-kernel-discretization-bias</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-stopped-left-right-module-bar-yoneda-transport</loc><lastmod>2026-11-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-stopped-random-variable-is-measurable-at-the-stopping-time</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-stopped-uniformly-elliptic-semimartingale-occupation-absolute-continuity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-stopping-time-ito-step-interval-sum</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-stopping-time-sigma-algebra-is-a-sigma-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-straight-line-homotopies-are-continuous</loc><lastmod>2026-08-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strict-blowup-increases-finite-normalization-subalgebra-at-singular-center</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strict-column-dominance-implies-nonnegative-inverse</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strict-linear-alternative-for-gcm-trichotomy</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strict-right-minima-of-a-quasiperiodic-partial-sum-function</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strict-subharmonic-perturbation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strict-subsolution-perturbation-for-the-heat-operator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strictification-of-a-viscosity-test-function-by-a-quartic-perturbation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-string-ideal-decomposition-of-the-integral-lattices</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-string-ideal-triples-are-balanced</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-string-link-exterior-homology-and-meridian-maps</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-continuity-at-zero-implies-orbit-continuity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-convexity-implies-strong-monotonicity-of-gradient</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-distribution-convergence-implies-weak-convergence</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-increase-gives-bounding-projections</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-l-two-neumann-inverse-on-four-dimensional-balls</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-lp-closed-constraints-pass-through-rellich-limits</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-lp-neumann-inverse-on-four-dimensional-balls</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-ltwo-compactness-preserves-unit-normalisation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-mixing-quantile-covariance-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-rrqr-column-swap-volume-ratio</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-rrqr-interpolative-decomposition-returns-a-status</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-transcendence-descends-to-minimal-prime-quotients</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-winding-stable-under-companion-insertion</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strong-wolfe-step-exists-on-a-bounded-below-ray</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strongly-monotone-continuous-map-is-bijective</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-strongly-transcendental-finite-one-variable-algebra-is-nowhere-quasi-finite</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-structure-presheaf-basic-open-well-defined</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-structure-sheaf-euler-characteristic-is-one-minus-genus</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-student-t-and-f-cdfs-are-continuous-and-strictly-increasing</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-su2-hopf-link-sine-data-from-truncated-fusion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subdivision-compatible-continuous-polyhedral-homology-comparison</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgaussian-contrastive-margin-comparison</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgroup-criterion</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgroup-group-ring-extension-is-faithfully-flat-and-preserves-fraction-quotients</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgroup-lattice-of-a-finite-cyclic-group</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgroup-quotient-of-universal-cover</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgroups-of-finite-p-groups-are-p-groups</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgroups-of-free-abelian-groups-are-free</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subgroups-of-z-are-cyclic</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sublinear-minsize-makes-every-cone-geodesic-a-limit-geodesic</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-submean-inequality-for-heat-subsolutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-submodule-criterion-sums-and-intersections</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-submodules-of-finite-modules-over-noetherian-rings-are-finite-direct</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-submultiplicative-root-limit</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subnets-preserve-eventual-properties-and-limits</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subreciprocal-functions-close-under-the-density-recursion</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subring-criterion</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subring-plus-ideal-and-intersection</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subscheme-intersection-fibre-product</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subsequence-inherits-limit</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subset-construction-state-invariant</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subset-of-countable</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subsheaf-generated-by-sections</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-subspace-leverage-score-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-substitution-commutes-with-complementation</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-successive-minima-attainment-and-adapted-flag</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-successive-p-multiple-quotients-recover-elementary-divisors</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-successive-small-integral-geometric-layers-contradict-a-large-x-part</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-successor-cardinal-exists</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-successor-of-extremal</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-sugawara-modes-act-on-currents</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sugawara-quadratic-modes-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sum-check-perfect-completeness</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sum-check-verifier-is-polynomial-time-given-point-evaluation</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-sum-of-all-proper-submodules-of-a-verma-module-is-proper</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-summability-of-truncated-normalized-variances</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-summatory-logarithm-asymptotic</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sunflower-maximal-disjoint-subfamily</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sup-epsilon</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sup-metric-is-a-metric</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-sup-of-extremals</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sup-scale</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sup-sum</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sup-translate</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-supg-general-p1-interpolation-estimate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-supg-one-dimensional-l2-interpolation-estimate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-support-dimension-preserved-field-extension</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-support-is-specialisation-closed</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-support-membership-by-annihilator</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-support-of-a-cyclic-module-is-its-vanishing-set</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-support-of-a-finite-module-is-union-of-generator-cyclic-supports</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-complete-equicharacteristic-finite-integral-closure</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-complete-equicharacteristic-formal-fibres</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-completed-polynomial-generic-fibre</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-completion-base-change-preserves-closed-fibre-local-completions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-derivations-and-regular-hypersurfaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-finite-completion-factors</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-finite-type-formal-fibres</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-finite-type-normalization-finite</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-flat-base-change-coherent-cohomology-by-cech</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-generic-power-series-formal-fibres</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-geometric-regularity-field-test-and-generic-spread</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-green-identity-on-smooth-bordered-domain</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-integral-is-independent-of-c-one-boundary-charts</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-modification-isomorphism-in-codimension-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-non-pth-power-detected-by-derivation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-null-edges-admit-small-gradient-cutoffs</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-open-regular-locus</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-p-basis-subfield-separation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surface-regular-fibres-preserve-normality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surgery-gluing-has-a-canonical-smooth-structure-up-to-diffeomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-surjectivity-modulo-n-minus-for-free-weight-generated-modules</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-suslin-algebra-refining-antichain-tree</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-suslin-line-nowhere-separable-quotient</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-suslin-tree-branch-first-difference-order</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-suslin-tree-forcing-is-countably-distributive</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-suslin-tree-normal-splitting-refinement</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-suspension-homotopy-classes-have-natural-group-structures</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-svec-transports-frobenius-subgradients</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-svrg-unbiasedness-and-variance-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sylow-subgroups-of-a-normal-subgroup-are-intersections</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sylow-times-normal-subgroup-covers-when-index-is-a-p-power</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sylvester-inertia-makes-morse-index-intrinsic</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sylvester-separation-controls-the-frobenius-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-sylvester-vectorization-isometry-and-kronecker-identity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-algebra-has-an-ordered-commutative-monomial-basis</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-algebra-qc-and-base-change</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-and-alternating-rank-coordinate-rings</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-chain-decomposition-induction-step</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-difference-formula-for-fourier-partial-sums</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-difference-of-two-matchings</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-entourages-form-a-base</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-gaussian-alternating-sum-vanishes</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-group-conjugation-to-inverse-within-the-preceding-group</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-group-is-a-group</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-groups-up-to-four-are-solvable</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-kernel-moment-cancellation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-matrix-frobenius-isometry</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-matrix-operator-norm-rayleigh</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-pole-polygons-have-clean-energy-critical-manifolds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-polynomial-centers-have-primitive-split-content-idempotents</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-rectifier-moments</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetric-shifted-solution-operator-is-positive-and-self-adjoint</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetrisation-has-the-same-normal-closure</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetrization-for-independent-random-series</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-symmetry-lemma-for-forcing-automorphisms</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-t-cohomology-is-additive-shift-compatible-and-detects-amplitude</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-t0-t1-and-hausdorff-are-hereditary</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tableau-cell-alphabet-is-constant</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tableau-formula-is-satisfiable-exactly-for-accepting-computations</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tableau-stabilizers-transform-by-conjugation</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tableau-to-cnf-map-has-polynomial-size-and-time</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-taboo-games-reduce-to-pruned-residual-games</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tagged-sums-approximate-a-contour-integral</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tail-events-are-independent-of-every-finite-initial-sigma-algebra</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tail-filter-preserves-net-convergence-and-cluster-points</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tail-sum-integrability-equivalence</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tame-dvr-inertia-and-abhyankar-ramification-killing</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-tangent-and-obstruction-spaces-for-hypersurface-deformations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-bundle-chart-transitions-are-smooth-with-smooth-inverses</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-bundle-of-complex-projective-space-and-its-pontryagin-classes</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-tangent-cone-initial-ideal-presentation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-cone-linear-span-tangent-space</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-curve-reachability-is-an-equivalence-relation</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-direction-contains-the-support</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-of-the-milnor-disk-bundle-has-the-required-stable-splitting</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-points-over-square-zero-vector-extensions</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-principal-branch-is-bijective</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-space-functoriality-classical</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-space-product</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangent-space-to-a-regular-level-set-is-the-kernel-of-the-constraint-derivative</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-tangential-difference-quotient-test-function</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangential-h-two-estimate-near-a-flat-dirichlet-boundary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tangential-maximal-function-norm-bound</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-taper-window-l2-normalization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tapered-block-bootstrap-conditional-covariance</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tau-additive-for-filtered-tensor-products</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tau-connected-sum-filtered-tensor-product</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tau-is-independent-of-heegaard-grid</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tau-of-the-unknot-is-zero</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tau-preserved-by-filtered-chain-homotopy-equivalence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tauber-block-estimate</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-taubes-positive-definite-instanton-existence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tautological-cotangent-moment-map-is-equivariant</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tautological-degree-one-class-is-well-defined-and-fiber-generating</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-taylor-expansion-with-integral-remainder-for-banach-valued-curves</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-taylor-integral-remainder</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-taylor-lagrange-remainder-from-mean-value</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-taylor-polynomial-derivatives</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-teichmuller-lift-is-multiplicative-and-unique</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-telescoping-series</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-annular-central-element-and-reflection-maps</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-closure-trace-component-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-closure-trace-is-cyclic-and-markov</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-critical-standard-modules-are-simple</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-diagram-tower-conditional-expectation-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-exact-truncation-reduces-decomposition-to-trivial-factors</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-general-theta-net-evaluation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-generators-satisfy-local-relations</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-integral-spin-representation-is-split-injective</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-jones-wenzl-partial-trace-and-uniqueness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-jones-wenzl-projector-exists-iff-trivial-projective</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-jones-wenzl-quantum-binomial-criterion-over-fields</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-jones-wenzl-recursion-properties</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-jones-wenzl-ring-descent</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-link-state-gram-determinant</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-link-state-gram-form-is-invariant</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-link-state-module-action-is-well-defined</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-link-state-restriction-filtration</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-negligible-morphisms-form-tensor-ideal</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-quantum-binomial-digit-criterion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-rank-one-ribbon-structure-from-the-finite-r-series</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-rank-one-tilting-character-and-dimension</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-rank-one-weyl-and-dual-weyl-filtrations</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-right-closure-preserves-trace-radical</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-root-gram-rank-and-reflection-dimensions</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-root-noncritical-radicals-and-simple-heads</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-signed-forest-candidates-and-their-composition</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-spencer-support-binomial-and-reflection-calculus</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-support-character-carry-and-simple-extras</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-temperley-lieb-zero-loop-perfect-matching-standard-module-is-simple</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-and-hom-representations-are-rational</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-consistency-test-soundness</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-hom-adjunction-for-bimodules</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-place-operators-span-the-symmetric-centralizer</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-product-moment-functional-equals-product-measure-integral</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-product-of-real-symmetric-forms-has-multiplicative-inertia</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-products-of-integrable-weight-modules-are-integrable</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-products-of-primitive-vectors</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-q1-interpolation-h1-estimate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-qc-modules-quasi-coherent</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-ring-presentations-for-base-change</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensor-unfoldings-are-frobenius-isometries</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensoring-a-projective-with-a-finite-dimensional-module-is-projective</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensoring-a-verma-module-by-a-finite-dimensional-module-shifts-types</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensoring-defines-a-pseudofunctor-with-interchange</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensoring-preserves-relative-projectivity-for-finite-group-modules</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensoring-with-a-finite-dimensional-module-preserves-verma-flags</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensoring-with-a-right-module-is-additive-right-exact-and-preserves-direct-sums</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tensoring-with-b-s-preserves-hodge-riemann-signs</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-term-substitution-denotation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-terminal-e-overlap-quotient-pattern-is-e-free</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-terminal-h-five-overlap-quotient-pattern-is-h-five-and-co-e-free</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-terminal-reachability-and-residual-game-positions</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-test-function-cutoffs-and-euclidean-localization</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-test-function-inclusion-in-schwartz-space-is-continuous</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-test-function-lf-topology-universal-property</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-test-zero-one-loss-risk-identities</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-testing-a-coercive-weak-solution-with-itself-gives-the-energy-bound</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-affine-simple-root-alpha-zero-is-delta-minus-the-highest-root</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-ahss-first-differential-is-the-cellular-coboundary</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-alexander-module-of-a-link-complement-is-finitely-presented</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-antidiagonal-subgroup-of-a-central-product-is-a-central-normal-subgroup</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-associated-graded-of-filtered-homology-is-a-subquotient-of-chain-level-data</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-augmented-bar-complex-is-exact</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-augmented-simplicial-chain-complex-of-a-simplex-is-contractible</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-auxiliary-pattern-has-a-polynomial-homogeneous-set-under-the-source-hypotheses</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-bar-differential-is-group-equivariant-and-squares-to-zero</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-basepoint-evaluation-of-the-stiefel-section-space-is-a-fibration</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-basic-weyl-invariant-degree-sum-is-the-number-of-positive-roots</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-bass-serre-coset-graph-is-a-tree</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-bgg-augmentation-has-image-the-simple-module</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-bockstein-is-independent-of-lift-and-cocycle-representative</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-borel-weil-section-extends-from-the-big-cell-to-the-flag-variety</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-bott-partial-connection-is-well-defined-and-flat-in-leaf-directions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-boundary-subobject-factors-through-the-cycle-subobject</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-canonical-map-to-the-enveloping-algebra-is-a-lie-algebra-homomorphism-into-the-commutator-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-casimir-element-is-independent-of-dual-bases</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-casimir-operator-is-basis-independent-and-intertwining</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-cayley-graph-of-a-finite-group-with-a-finite-generating-set-is-a-finite-simple-graph</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-cellular-boundary-squares-to-zero</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-center-has-finite-dimensional-image-on-an-o-object</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-center-of-a-full-matrix-algebra-over-a-field-consists-of-the-scalar-matrices</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-central-action-on-the-deformed-antidominant-projective</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-central-reduction-of-usl2-is-simple-away-from-finite-dimensional-characters</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-change-of-projective-resolution-isomorphisms-are-natural</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-closed-disk-is-a-manifold-with-boundary</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-coefficients-of-the-formal-square-root-of-one-minus-four-x</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-cohomology-universal-coefficient-extension-map</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-coinvariant-algebra-is-a-gorenstein-algebra-with-one-dimensional-socle</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-cokernel-of-a-chain-map-is-computed-degreewise</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-columns-of-the-augmented-tensor-double-complex-are-exact</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-combed-geometric-decomposition-is-unique</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-comma-category-projection-strictly-creates-limits-preserved-by-the-functor</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-commutator-of-vector-field-derivations-is-a-derivation</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-commutator-pairing-is-nondegenerate</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-commutator-pairing-is-well-defined-biadditive-and-alternating</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-compact-leaf-produced-by-a-vanishing-cycle-bounds-a-reeb-component</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-complement-of-an-oriented-link-is-a-connected-smooth-three-manifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-composite-of-two-functions-is-a-function</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-constant-term-of-a-cyclotomic-polynomial</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-coordinate-components-of-the-oriented-area-vector-are-projected-jacobians</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-coordinate-flux-identity-for-a-simple-solid-region</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-covering-of-a-leaf-associated-to-the-holonomy-kernel-exists</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-cycle-boundary-diagram-associated-to-a-short-exact-sequence-of-complexes</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-cyclic-cover-deformation-retracts-onto-the-lifted-flower-and-spine</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-de-rham-and-smooth-singular-mayer-vietoris-diagram-commutes-away-from-connectors</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-de-rham-complex-and-pullback-extend-to-manifolds-with-boundary</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-de-rham-homotopy-formula-extends-to-boundary-manifolds</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-de-rham-map-commutes-with-mayer-vietoris-connectors</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-de-rham-map-is-an-isomorphism-on-convex-coordinate-domains</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-de-rham-mayer-vietoris-difference-map-is-surjective</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-de-rham-mayer-vietoris-sequence-is-exact-at-the-first-two-terms</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-deck-group-of-a-covering-acts-by-a-covering-space-action</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-deficiency-one-fox-calculus-determinant-rule</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-denominator-quotient-has-only-imaginary-cone-support</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-derivative-lift-of-a-smooth-self-map-to-the-orientation-double-cover</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-derivative-map-is-continuous</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-derived-couple-maps-are-well-defined</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-diagonal-map-is-an-embedding</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-diagonal-of-a-smooth-manifold-is-a-closed-embedded-submanifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-differential-annihilates-the-tangent-kernel-at-a-constrained-extremum</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-differential-descends-to-a-quotient-complex</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-differential-sends-derivations-to-derivations-and-is-linear</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-disk-bundle-of-a-smooth-vector-bundle-is-a-compact-manifold-with-boundary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-divergence-and-curl-of-a-cross-product</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-domain-and-range-of-a-relation-are-sets</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-down-shift-creates-no-new-shattered-set</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-down-shift-preserves-the-number-of-sets</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-drinfeld-hopf-pairing-is-nondegenerate-in-each-root-degree</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-dual-representative-has-uniform-bmo-oscillation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-e-graph-and-the-bird-are-leaf-reducible</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-e-graph-and-the-bird-graph-are-wonderful</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-effacement-extension-commutes-with-connecting-morphisms</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-effacement-extension-is-independent-of-the-effacing-morphism</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-exact-couple-differential-squares-to-zero</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-ext-balance-isomorphism-is-independent-of-resolution-comparison-data</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-extended-time-dependent-field-has-a-global-time-one-flow</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-fibration-connecting-map-is-independent-of-lift-and-representative</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-filtered-differential-induces-d-r-on-the-r-page</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-first-four-band-comparison-is-a-compensated-band-stabilization</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-first-layer-relations-in-a-closed-moy-resolution-form-a-regular-sequence</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-first-serre-differential-is-the-cellular-boundary-with-local-coefficients</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-flow-definition-of-tensor-lie-derivative-is-local-and-well-defined</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-fock-pairing-matches-projective-simple-and-standard-costandard-pairings</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-fock-space-tail-estimates-give-q-adic-vanishing-and-finiteness</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-fork-noodle-pairing-detects-essential-intersections</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-fork-noodle-pairing-is-well-defined-and-equivariant</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-four-band-d-pair-case-is-a-markov-sequence</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-four-point-condition-implies-slim-triangles</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-frechet-derivative-is-unique</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-full-boundary-twist-acts-on-lkb-by-the-scalar-q-to-two-n-t-squared</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-full-group-c-star-seminorm-is-finite-and-separates-the-required-quotient</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-galois-automorphisms-are-algebraically-independent-over-an-infinite-base-field</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-generic-borel-half-and-opposite-half-form-a-dj-crossed-double</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-geodesic-spray-is-a-well-defined-smooth-vector-field-on-tm</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-geometric-half-twist-acts-on-the-lifted-edge-basis-by-the-burau-block</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-gns-null-space-is-translation-invariant</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-gns-translation-action-is-unitary-and-strongly-continuous</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-goursat-majorant-equation-has-a-convergent-positive-power-series-solution</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-graph-notions-agree-with-the-published-finite-graph-theory</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-graph-of-a-continuous-map-into-a-hausdorff-space-is-closed</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-gromov-product-inequality-implies-the-four-point-condition</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-group-ring-is-free-over-a-subgroup-ring</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-harmonic-complement-of-the-coinvariant-algebra</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-hecke-bar-involution-is-well-defined</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-hecke-generators-satisfy-the-artin-relations-and-are-units</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-hecke-tower-is-free-over-the-previous-level</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-hom-cochain-differential-squares-to-zero</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-hom-complex-differential-squares-to-zero</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-homotopy-effect-of-a-surgery-killing-a-relative-class-below-the-middle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-horseshoe-kernel-fits-a-short-exact-sequence</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-identity-of-a-finite-dimensional-algebra-decomposes-into-primitive-central-idempotents</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-immersion-condition-is-open-in-the-weak-topology-for-compact-sources</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-imprimitivity-reconstruction-map-is-isometric-and-intertwining</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-induced-action-is-strongly-continuous</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-induced-action-is-unitary</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-induced-cohomology-map-is-independent-of-the-injective-comparison-extension</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-induced-homology-map-is-independent-of-the-comparison-lift</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-induced-inner-product-is-independent-of-coset-representatives</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-inhomogeneous-group-cochain-differential-squares-to-zero</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-interior-of-an-attached-cell-embeds-openly-in-its-closure</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-intersection-of-a-nonempty-set-is-a-set</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-interval-homotopy-operator-is-coordinate-independent</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-invariant-exterior-derivative-formula-is-c-infinity-multilinear</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-invariant-vector-and-covector-of-the-unreduced-burau</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-invariants-functor-for-n-sends-injectives-to-q-acyclic-modules</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-inverse-of-one-plus-the-generator-in-a-truncated-mod-two-polynomial-ring</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-k-topology-is-hausdorff-and-not-regular</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-kac-moody-denominator-is-weyl-skew</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-kernel-of-a-chain-map-is-computed-degreewise</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-kernel-of-a-function-is-an-equivalence-relation</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-khovanov-seidel-algebra-has-the-four-m-plus-one-path-basis</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-khovanov-seidel-curve-complex-is-a-complex-and-is-invariant-under-normal-form-moves</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-koszul-hochschild-comparison-respects-crossing-differentials-and-trigradings</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-kronecker-pairing-is-independent-of-cocycle-and-cycle-representatives</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-kunneth-cross-product-map-is-well-defined-and-natural</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-kunneth-tor-map</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-l1-involution-is-isometric-and-reverses-convolution</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-laurent-polynomial-ring-is-noetherian-and-a-unique-factorisation-domain</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-lefschetz-operator-factors-through-deleted-bott-samelsons</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-left-derived-connecting-map-is-independent-of-the-horseshoe-resolution-and-lifts</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-level-one-vector-representation-has-a-perfect-crystal-with-lower-global-basis</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-limit-map-of-a-compact-hausdorff-space-is-an-ultrafilter-algebra</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-local-affine-hecke-socle-argument-for-residue-translations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-local-intersection-sign-of-the-graph-and-diagonal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-loop-residue-form-is-alternating</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-loop-residue-form-satisfies-the-lie-two-cocycle-identity</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-lusztig-integral-form-is-stable-under-bar-and-contravariant-duality</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-mapping-cone-differential-squares-to-zero</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-mapping-cylinder-differential-squares-to-zero</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-markov-trace-of-an-inverse-hecke-generator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-mayer-vietoris-connector-is-independent-of-small-chain-decomposition</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-minimal-rouquier-differential-supplies-weak-lefschetz-injectivity</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-minimal-sparsity-parameter-drops-below-the-target</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-minus-one-specialization-of-three-strand-burau-has-kernel-generated-by-delta-to-the-fourth</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-multilinear-monomials-of-bounded-degree-are-independent-on-the-cube</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-negative-half-is-separated-by-iterated-skew-derivations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-nilpotent-central-fiber-is-a-reduced-integral-domain</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-node-count-is-the-level-one-cartan-pairing</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-nondegenerate-integral-specialization-has-a-quantum-casimir</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-norm-of-a-positive-element-is-the-supremum-of-state-values</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-normal-model-map-is-a-foliated-local-diffeomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-normal-model-map-restricts-to-a-diffeomorphism-onto-a-saturated-neighbourhood</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-obstacle-admissible-set-is-closed-convex-and-weakly-closed</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-one-step-generator-map-is-a-functorial-monomorphism</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-open-sets-induced-by-an-ultrafilter-algebra-form-a-topology</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-open-star-criterion-produces-a-simplicial-map</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-order-p-automorphism-of-a-cyclic-group-of-order-p-squared</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-order-topology-on-an-ordinal</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-orientable-double-cover-of-a-smooth-manifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-oriented-boundary-loop-represents-the-ordered-product-of-the-standard-meridians</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-orthogonal-complement-of-a-subspace-under-the-standard-form</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-oscillating-zigzag-curve</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-parabolic-hecke-modules-have-standard-bases-actions-and-compatible-bars</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-parabolic-highest-weight-truncation-factors-through-the-cyclotomic-quotient</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-parabolic-semi-regular-duality-and-reverse-column-label-map</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-partial-alternating-sum-of-a-binomial-row</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-planar-forgetful-map-has-a-continuous-section</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-plane-or-disc-alternative-gives-contractibility</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-point-motion-boundary-map-is-a-well-defined-homomorphism</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-pointwise-norm-is-smooth-off-the-zero-vector</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-positive-braid-monoid-is-left-and-right-cancellative</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-power-set-of-a-set-is-a-set</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-preconnecting-arrow-annihilates-boundaries</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-preferred-lift-of-a-half-twist-shifts-the-bigrading</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-prime-five-vertex-graphs-are-exactly-the-bull-five-cycle-five-vertex-path-and-its-complement</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-primitive-pi-cap-block-embeds-and-gives-the-global-reeb-model</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-principal-ultrafilter-and-ultrafilter-flattening-maps-are-natural</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-prism-triangulation-has-the-stated-oriented-boundary</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-product-of-an-indexed-family-is-a-set</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-product-of-two-absolutely-continuous-functions-is-absolutely-continuous</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-punctured-disk-is-path-connected-locally-path-connected-and-semilocally-simply-connected</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-q-antisymmetrizer-determines-the-finite-q-wedge-kernel</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-q-wedge-relations-coincide-with-the-type-a-energy-braiding-kernel</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-quotient-is-an-induced-subgraph-on-a-transversal</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-rank-one-soergel-bimodule-square-splits</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-realization-of-a-simplicial-map-is-continuous-and-functorial</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-reduced-burau-module-is-free-of-rank-n-minus-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-relative-connecting-map-is-independent-of-lift-and-representative</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-remaining-closure-koszul-complex-is-the-diagonal-hochschild-complex</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-riemannian-volume-density-is-coordinate-independent</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-round-circle-and-its-reflection-are-not-isotopic-embeddings-in-the-plane</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-rows-of-the-augmented-tensor-double-complex-are-exact</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-rth-differential-squares-to-zero</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-second-four-band-comparison-is-a-compensated-band-destabilization</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-second-fundamental-form-is-a-symmetric-normal-bundle-valued-two-tensor</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-second-homotopy-group-of-so-three-vanishes</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-serre-quotient-has-weyl-symmetry-and-no-residual-kac-moody-kernel</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-set-of-functions-between-two-sets-is-a-set</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-shifted-differential-squares-to-zero</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-shifted-integrable-character-numerator-is-weyl-skew</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-simplicial-augmentation-is-a-chain-map</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-singular-coboundary-squares-to-zero</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-skeletal-telescope-projects-by-a-homotopy-equivalence-of-pairs</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-smooth-structure-on-g-mod-h-is-independent-of-the-local-complement</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-square-map-is-well-defined-and-refines-the-commutator-pairing</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-stabilizer-action-on-an-imprimitivity-fiber-is-unitary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-stable-elementary-subgroup-is-normal-and-contains-the-commutator-subgroup</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-stable-homotopy-colimit-is-independent-of-the-chosen-cofinal-tail</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-standard-flower-is-a-deformation-retract-with-free-meridian-basis</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-standard-form-of-two-incidence-vectors-is-the-intersection-size</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-standard-stem-system-cuts-the-punctured-disk-open-to-a-disk</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-star-antiautomorphism-of-the-type-a-hecke-algebra</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-star-expansion-of-a-forest-containing-a-long-path-contains-the-corresponding-cycle</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-star-expansion-of-k-three-contains-the-hatted-five-cycle</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-star-expansion-of-the-four-vertex-path-contains-induced-c-six-and-c-seven</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-stokes-integrand-identity-on-a-c2-patch</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-substituted-set-is-a-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-sum-of-triangularly-disjoint-graded-ideals-is-disjoint-from-h</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-target-inclusion-in-a-cellular-mapping-cylinder-is-simple</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-tautological-one-form-is-intrinsic-and-smooth</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-tensor-total-differential-is-well-defined-and-squares-to-zero</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-three-cone-calculation-for-a-composite-chain-map</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-total-cartan-eilenberg-complex-computes-the-derived-composite</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-total-differential-squares-to-zero</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-totient-of-a-gcd-and-of-a-least-common-multiple</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-trefoil-does-not-bound-a-smooth-proper-disk-in-the-four-ball</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-two-filtrations-have-e-two-pages-rpg-rqf-and-the-derived-composite-edge</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-two-hom-double-complex-differentials-commute-before-signing</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-type-a-diagrammatic-relations-hold-for-soergel-bimodules</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-type-a-standard-character-is-multiplicative</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-underlying-set-functor-on-rings-strictly-creates-split-coequalizers</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-union-of-two-compatible-smooth-atlases-is-a-smooth-atlas</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-universal-coefficient-edge-map-for-homology-is-well-defined</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-universal-coefficient-tor-obstruction-map-for-homology</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-unordered-two-point-punctured-plane-has-an-equivariant-two-dimensional-cell-model</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-vacuum-projective-is-a-highest-weight-generator</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-weak-smooth-topology-is-independent-of-the-chosen-atlas</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-wedge-product-is-alternating-and-bilinear</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-weighted-area-form-is-sl2-r-invariant</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-the-weighted-discrete-series-space-is-a-hilbert-space</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-theorem-of-the-square-and-mumford-homomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-theta-n-connected-sum-operation-is-well-defined</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-thin-quadrilaterals-in-a-hyperbolic-space</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-this-homeomorphism-sends-the-cantor-set-onto-a-set-of-lebesgue-measure-one</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-thom-class-of-a-disk-bundle-pairs-with-the-base-generator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-thom-disk-sphere-quotient-identifies-relative-and-reduced-cohomology</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-thom-isomorphism-extends-over-a-finite-numerable-trivializing-cover</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-thom-isomorphisms-glue-over-two-trivializing-opens</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-thom-space-is-independent-of-the-bundle-metric-up-to-canonical-homeomorphism</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-connected-graph-has-a-contractible-edge</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-connected-kuratowski-free-is-planar</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-dimensional-laplace-spherical-harmonic-addition-theorem</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-dimensional-scattering-kernel-is-square-integrable</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-disk-pl-severing-reassembles-parametrized-balls</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-mod-four-prime-dividing-two-square-sum</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-sat-to-binary-constraint-graph</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-series-necessity-for-truncated-means-and-variances</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-simply-connected-models-are-inequivalent</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-three-slope-inequality-for-convex-functions</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-thue-small-representatives</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tight-borel-gaussian-law-has-separable-support</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tikhonov-bias-converges-for-minimum-norm-solution</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tikhonov-data-residual-continuity-monotonicity-and-limits</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-tikhonov-source-condition-bias-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-time-along-ode-solution-derivative-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-time-at-least-input-length-permits-complete-input-reading</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-time-bounds-imply-space-bounds</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-time-controlled-self-reference-for-nondeterministic-machines</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-time-diagonal-language-respects-its-budget</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-time-penalisation-moves-a-doubling-variables-maximum-away-from-the-terminal-boundary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-time-translation-acts-freely-on-nonconstant-trajectories</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-toeplitz-matrix-has-displacement-rank-at-most-two</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-top-cohomology-vanishes-above-canonical-ample-threshold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-top-exterior-power-detects-subspace-stabilizers</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-topological-group-translations-and-inversion</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-twisted-acyclicity-from-torsion-module</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-twisted-boundaries-square-to-zero-and-are-independent-of-lift-bases</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-twisted-clifford-adjoint-reflection-and-scalar-kernel</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-twisted-product-is-a-group-iff-the-factor-set-is-a-two-cocycle</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-two-dyadic-cubes-are-nested-or-disjoint</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-two-essentially-different-two-square-representations-factor-an-odd-integer</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-two-homogeneous-projection-limit-is-stationary</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-two-point-interpolation-in-a-separating-real-function-algebra</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-uncorrelated-jointly-gaussian-blocks-are-independent</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-uncountable-almost-disjoint-family-on-natural-numbers</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-uncountable-analytic-splitting</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-uncountable-club-guessing-at-a-double-successor</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-uniform-integral-error-bound</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-uniform-interval-poincare-inequality</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-uniform-law-on-finite-subset-families</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-uniform-limits-linear-combinations</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-uniform-right-censoring-risk-set-convergence</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-uniform-row-partial-sums-of-nested-finite-variance-array</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-uniformizable-spaces-are-regular</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-union-of-chain-of-filters</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-union-of-two-meeting-modules-is-a-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-unions-of-components-and-of-anticomponents-are-modules</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-unique-parsing-of-set-coded-syntax</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-unique-subgroup-of-order-p-forces-cyclicity</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-unitary-matrix-coefficients-are-bounded-and-uniformly-continuous</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-upper-semicontinuous-functions-are-borel-and-circle-integrals-are-defined</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-upper-unitriangular-coordinate-ring-is-coconnected</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-variable-degree-polynomial-spaces-are-h1-conforming</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-variance-sensitive-bounded-empirical-process-concentration</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-variation-additive-on-subintervals</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-variation-function-and-jordan-identities</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-variation-of-constants-integral-is-continuous-for-lone-time-forcing</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-variety-equations-dimension-bound</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-variety-ideal-galois-connection</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vassiliev-4t-from-singular-reidemeister-move</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vassiliev-framing-one-term-relation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vc-loss-rademacher-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vc-set-covering-entropy</loc><lastmod>2026-10-19T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-bundle-chow-homotopy-invariance</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-bundle-p1-extension-splits</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-bundle-p1-has-maximal-degree-line-subbundle</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-bundle-p1-maximal-line-quotient-locally-free</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-bundle-transition-functions-satisfy-the-cocycle-identities</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-field-index-is-independent-of-chart-ball-and-trivialization</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-newton-correction-error-under-lipschitz-jacobian</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-operations-are-continuous-in-a-normed-space</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-rademacher-contraction-for-bounded-classes</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-space-elementary-consequences</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vector-valued-continuous-curve-space-is-complete</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-verma-embedding-implies-strong-linkage</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-verma-filtered-objects-are-acyclic-for-n-minus-coinvariants</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-verma-flag-multiplicities-are-independent-of-the-flag</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-verma-self-extensions-in-category-o-split</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-verma-sign-sum-over-bruhat-intervals</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-veronese-map-well-defined-closed-immersion</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vertex-and-edge-stabilizers-and-their-incidence-inclusions</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vertex-connectivity-at-most-edge-connectivity</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vertex-operator-series-for-padded-schur-functions</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-vertical-composition-of-natural-transformations-is-natural</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-very-ample-implies-ample</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-viete-finite-cosine-product-and-nested-radicals</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-viral-divisive-finite-family-yields-weak-viral</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-virtual-weyl-combinations-detect-q-schur-block-separation</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-viscosity-initial-trace-is-enforced-by-upper-and-lower-barriers</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-viscosity-testing-by-first-order-jets</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-viscous-approximations-obey-uniform-linfinity-and-energy-bounds</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-viscous-scalar-laws-contract-spatial-translates-in-lone</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-volume-chirality-and-clifford-hopf-clutching</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-volume-far-field-map-is-bounded</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-volume-integral-operator-well-defined-and-bounded</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-von-mangoldt-explicit-formula-residues</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-von-neumann-inertia-and-coisotropic-reduction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-voronoi-vertex-empty-circle</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-w-one-p-is-reflexive</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-w-one-two-is-a-hilbert-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-w1-is-finite-on-probability-measures-with-finite-first-moment</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-w2-convergence-implies-homogeneous-projection-convergence</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-w2-distance-derivative-under-a-continuity-equation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wall-crossing-compositions-produce-the-projective-with-the-top-standard-label</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wall-crossing-functors-act-on-standard-modules-by-the-two-step-extension</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wall-crossing-functors-act-on-the-grothendieck-group-by-right-multiplication-by-one-plus-s</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wall-signature-and-rt-cap-reference-correction</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wallis-integrals-recurrence-and-squeeze</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-walsh-hadamard-code-has-distance-one-half</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wasserstein-gluing</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-water-filling-optimal-allocation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wave-formulas-attain-the-cauchy-data</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wave-packet-model-dominates-the-linearised-carleson-operator</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wavelet-product-prior-is-l2-valued</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-and-strong-additivity-of-orthogonal-projections</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-beltrami-factorization-in-holder-coordinates</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-bgg-base-case-for-the-trivial-module</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-bialgebra-source-and-target-bases</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-closedness-keeps-the-direct-method-limit-admissible</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-containment-implies-kernel-inclusion</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-containment-of-the-trivial-representation-and-almost-invariant-vectors</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-derivative-is-independent-of-lp-representatives</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-derivative-linearity-locality-and-commutation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-derivatives-are-polynomial-fourier-multipliers</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-derivatives-are-unique-almost-everywhere</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-divergence-form-equations-are-invariant-under-c-two-boundary-charts</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-equation-for-a-first-derivative-includes-coefficient-commutators</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-equivalences-glue-along-a-common-connected-cw-subcomplex</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-equivalences-of-pairs-induce-isomorphisms-on-relative-homotopy</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-harmonic-limits-on-riemann-surfaces</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-hausdorff-diagonals-and-closed-quotients</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-homotopy-equivalences-induce-integral-homology-isomorphisms-without-choice</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-join-classifying-model-is-a-cw-k-g-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-leibniz-rule-with-a-smooth-factor</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-limit-of-uniformly-bounded-difference-quotients-is-the-weak-derivative</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-local-subharmonic-peak-function-implies-regularity</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-lower-semicontinuity-of-the-sobolev-norm</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-lq-thresholded-covariance-expected-risk</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-lq-thresholded-covariance-row-sum</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-partial-derivatives-lower-sobolev-order</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-product-rule-for-bounded-sobolev-functions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-solution-of-a-degree-zero-divisor-and-logarithmic-derivative-identity</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-sparsity-is-a-bound-on-the-edge-density</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weak-stability-of-sobolev-derivatives</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weakly-singular-fractional-gronwall</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wedge-monomials-in-a-dual-basis-form-a-basis</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wedge-with-a-closed-form-preserves-exactness-classes</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weierstrass-j-invariant-of-the-legendre-normal-form</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weierstrass-low-frequency-difference-quotient-bound</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weierstrass-p-degree-two-and-half-periods</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weierstrass-probe-points</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weierstrass-quotient-is-a-finite-module</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weierstrass-tail-difference-quotient-bound</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weight-is-well-defined</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weight-norm-bound-for-finite-dimensional-simple-modules</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weight-subsets-with-equal-root-sums-are-unique</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-collection-in-lower-central-coordinates</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-continuous-path-space-is-complete</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-coordinate-boxes-give-matching-growth-bounds</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-drift-minorization-gives-contraction-and-invariant-law</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-fourier-images-of-schwartz-functions-are-dense-in-ltwo</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-good-lambda-inequality-for-maximal-truncations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-graph-laplacian-quadratic-form-and-kernel</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-maximal-function-is-weak-type-one-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-maximal-weak-bound-for-a-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-morrey-estimate-on-smooth-pseudoconvex-domains</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-network-energy-kernel-and-mass-balance</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-overlapping-block-moment-and-covariance-limits</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-pinsker-inequality-for-probability-laws</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-total-variation-space-is-complete</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weighted-von-mangoldt-harmonic-estimate</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weissinger-fixed-point-criterion</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-well-definedness-of-the-simple-integral</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-well-founded-borel-code-evaluation</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-well-order-comparability</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-well-order-rigid</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-alternants-are-skew-invariant</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-alternation-extracts-a-dominant-highest-weight-coefficient</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-anti-invariants-are-divisible-by-the-discriminant</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-coinvariant-hilbert-series-has-order-w-dimension</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-denominator-and-anti-invariant-orbit-sum-basis</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-eigenvalue-singular-value-inequalities</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-invariant-cartan-polynomials-extend-to-g-invariants</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-length-parity-is-multiplicative</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-orbit-sums-form-a-basis-of-finite-weyl-invariants</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-weyl-orthogonality-identifies-the-highest-weight-character-numerator</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-white-noise-is-borel-gaussian-on-negative-sobolev-space</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitehead-classes-are-represented-by-invertible-matrices</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitney-decomposition-of-proper-open-subsets-of-euclidean-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitney-disk-framing-obstruction-can-be-corrected-under-the-standard-high-dimensional-hypotheses</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitney-normal-tubes-have-submersive-radius-and-bounded-stratumwise-lifts</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitney-stratifications-admit-compatible-control-data</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitney-sum-coalgebra-is-well-defined-on-stable-thom-cohomology</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitney-trick-realizes-algebraic-middle-handle-cancellation-geometrically</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whitney-type-ball-cover-of-a-proper-open-set</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-whole-space-maximum-principle-under-gaussian-growth</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wide-gaussian-matrix-has-full-row-rank-almost-surely</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wide-gaussian-pseudoinverse-frobenius-moments</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wide-gaussian-pseudoinverse-spectral-moments-and-tail</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wide-pullbacks-compute-intersections-independently-of-representatives</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wielandt-sylow-binomial-valuation</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wilson-inverse-pairing</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-winding-number-is-locally-constant-via-integral-estimate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-winding-number-jumps-by-one-across-a-regular-planar-arc</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wirtinger-crossing-ball-cover</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wirtinger-local-meridian-conjugacy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-witt-central-cocycles-are-cubic</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-witt-cubic-cocycle-is-a-2-cocycle</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wolfe-step-lower-bound-from-the-descent-angle</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wolfe-steps-give-positive-bfgs-curvature</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-woodbury-dplr-bilinear-inverse</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-word-length-is-well-defined-and-satisfies-the-length-laws</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-word-mirror-involution-of-a-klr-algebra-and-the-quantum-star</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-word-reversal-transposes-the-insertion-tableau</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-words-satisfy-the-free-monoid-universal-property</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wreath-double-power-coefficient-symmetry</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-wronskian-of-two-jacobi-fields-is-constant</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-x-plus-the-cantor-function-is-a-homeomorphism-from-zero-one-onto-zero-two</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-x-squared-plus-one-is-irreducible-over-the-reals</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-xd-finite-matrix-exponential-series</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-xd-geometric-poisson-tail-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-xd-uniformized-matrix-is-stochastic</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-xxz-open-chain-local-matrix-satisfies-temperley-lieb</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yamada-vogel-reducing-moves-lower-bad-seifert-circle-complexity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yangian-fundamental-evaluation-intertwiner</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yangian-gl2-one-root-bethe-cancellation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yangian-periodic-monodromy-satisfies-rtt</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yangian-rtt-component-commutator-form</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yangian-rtt-spectral-rescaling</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yext-exact-sequences-in-both-variables</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yext-zero-splice-factorization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yoneda-evaluation-bijection</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yoneda-splicing-is-well-defined-on-equivalence-classes</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yosida-approximants-are-bounded-and-converge-on-the-domain</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yosida-resolvent-converges-strongly-to-the-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-young-partition-sum-estimate-rational</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-young-permutation-module-is-induced-from-the-trivial-character</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-youngest-child-descendants-conditionally-independent</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-yun-transformer-grid-lookup</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zariski-closed-set-axioms</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zariski-lemma-localised-polynomial-ring-not-field</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zariski-lemma-one-variable-localisation-not-finite</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zariski-lemma-transcendence-basis-reduction</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-and-one-handles-can-be-eliminated-in-a-simply-connected-h-cobordism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-at-identity-induction-restriction-for-a-frobenius-complement</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-boundary-piecewise-affine-functions-lie-in-h1zero</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-covariance-multivariate-trimmed-mean-exact</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-determinant-matrix-has-nonzero-kernel-vector</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-dimensional-classical-variety-finite</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-dimensional-projective-scheme-has-finite-local-charts</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-divisor-annihilator-contained-in-associated-prime</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-edge-normal-exchange-rectangles-and-annuli-have-cellwise-product-structures</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-extension-from-w-one-p-zero</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-filling-of-fibered-knot-is-a-torus-bundle</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-free-entire-function-of-exponential-type-is-an-exponential</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-in-a-localised-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-integral-compactly-supported-top-forms-on-euclidean-space-have-compactly-supported-primitives</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-length-sets-are-removable-for-continuous-analytic-functions</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-localized-intersection-rank-forces-finite-boundary-union-kernel-isotropy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-locus-ideal-closure</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-locus-of-an-ideal-equals-zero-locus-of-its-radical</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-long-run-variance-gives-degenerate-clt</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-meridian-pairs-are-generated-by-kirby-moves-in-s-three</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-of-a-real-analytic-function-is-isolated-or-locally-identical</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-scheme-of-line-bundle-section</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-section-gysin-and-excess-vector-subbundle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-section-proves-injectivity-of-the-thom-unit-orbit</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-set-propagation-for-a-nonnegative-holder-weak-solution</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-set-ultrafilters-and-stone-cech-points</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-signal-isotropic-risk-limit</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-surgery-cyclic-cover-homology-splitting</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-torsion-is-realized-by-elementary-expansions-collapses-and-cellular-basis-moves</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zero-variance-geometric-markov-sums-have-strong-rate</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zeta-explicit-formula-zero-free-error-balance</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zeta-horizontal-logarithmic-derivative-comparison</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zeta-logarithmic-derivative-zero-bound</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zeta-reciprocal-zero-sum-bound</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-zeta-three-four-one-logarithmic-derivative-inequality</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/rem-circle-quotient-model-agrees-with-published-examples</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-classical-affine-register-limit</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-classical-counterparts-for-trigonometry-free-oscillators</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-classical-godbillon-vey-requires-at-least-c-two-regularity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-classical-oscillator-is-sine-of-one-over-x</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-closedness-is-needed-for-hopf-degree-classification</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-clt-convergence-is-only-in-distribution</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-coherent-needs-noetherian-or-coherent-ring-care</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-commuting-versus-anticommuting-double-complex-conventions</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-compact-critical-band-is-the-local-handle-theorem-hypothesis</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-compact-leaf-does-not-mean-finite-holonomy-or-finite-fundamental-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-compactness-choice-ledger-metric</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-compactness-conventions-and-choice-ledger</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-compactness-up-to-breaking-needs-closedness-or-a-proper-compactness-package</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-compatible-almost-complex-structures-and-kahler-geometry</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-complete-convergence-implication-diagram</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-complete-metrizability-is-the-topological-shadow</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-completeness-routes</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-complex-contours-as-planar-rectifiable-paths</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-complex-euclidean-space-dictionary</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-complex-infinite-product-dictionary</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-complex-plane-euclidean-dictionary</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-complex-versus-banach-open-mapping-theorems</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-condensation-requires-additional-constructible-structure</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-conditional-expectation-is-a-class-not-a-canonical-pointwise-function</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-conjugates-preserve-isomorphisms-but-arbitrary-mates-need-not</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-connectedness-conventions</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-connectedness-is-needed-for-a-single-degree-invariant</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-conormal-map-need-not-injective</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-constructions-this-page-stops-short-of</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-continuous-dual-completeness-and-pairing</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-continuum-hypothesis</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-conventions-for-prime-graphs</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-convexity-and-toric-classification-for-hamiltonian-torus-actions</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-convexity-conventions-and-choice</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-countability-axiom-implication-and-choice-ledger</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-counting-conventions-and-scope</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-covering-maps-among-complete-analytic-functions</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-cpo-implementation-is-approximate</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-critical-hausdorff-measure-can-be-zero-finite-or-infinite</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-critical-sobolev-does-not-embed-in-linfinity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-curve-residue-duality-is-the-dimension-one-case</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-cycle-index-and-polya-naming-conventions</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-cyclic-and-alternating-simple-families</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-cylinder-sigma-algebra-versus-full-product-power-set</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-daha-skein-and-physical-knot-interfaces-require-specific-maps</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-darboux-lhopital-taylor-scope</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-decomposition-into-irreducible-summands-need-not-be-unique</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-degenerate-and-nondegenerate-ariki-theorems-have-distinct-parameter-ranges</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/rem-derivatives-at-zero-do-not-in-general-determine-the-law</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-derived-and-cohomological-hall-are-distinct</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-derived-functors-are-well-defined-relative-to-supplied-resolution-data</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-derived-tensor-composition-and-the-enhancement-boundary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-differential-privacy-scope-and-limitations</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-differentials-detect-infinitesimals-not-all-singularities-alone</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dini-derivatives-specialise-the-published-derivative</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-direct-integrals-and-general-multiplicity-theory</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dirichlet-process-support-does-not-imply-density-contraction</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dirichlet-series-continuation-and-regularized-sums</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-discontinuous-functionals-on-banach-spaces-and-choice</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-discrete-diffusion-factorization-and-endpoint-limits</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-distinct-odd-proof-agreement</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dmc-mc-ac-zfa-qualification</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dmc-versus-dc-over-zf-is-open</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-domain-classes-for-the-mean-zero-poincare-inequality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-domain-hypotheses-for-closed-versus-exact</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-duality-as-a-dual-space-statement</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-duality-trace-normalization</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dualizing-real-chain-complexes-requires-an-exactness-argument</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dualizing-real-vector-space-sequences-and-the-choice-boundary</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-dynkin-diagrams-do-not-classify-global-lie-groups</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-easton-singular-cardinal-caveat</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-easton-support-for-continuum-patterns</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-elementary-moves-do-not-constitute-full-cerf-theory-here</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-elements-of-l-p-are-equivalence-classes-and-pointwise-statements-require-a-representative</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ell-p-is-l-p-of-counting-measure</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-em-ascent-does-not-imply-global-optimality-or-convergence</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-endpoint-and-rough-domain-trace-limitations</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-enriched-naturality-is-strictly-stronger-than-ordinary-naturality</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ensemble-disagreement-is-not-calibrated-uncertainty</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-equidimensionality-hypotheses</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-euclidean-divergence-versus-classical-and-manifold-stokes</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-euclidean-topology-dictionary</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-euler-class-construction-remains-owned-by-at</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-euler-lagrange-is-necessary-not-sufficient-without-convexity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-euler-product-agrees-with-the-published-multiset-corollary</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-every-diagram-commutes-is-false-as-stated</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-exponential-roadmap-and-circularity</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-extended-real-conventions</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-fibre-is-scheme-not-point-set</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-counting-measure-holder-and-cauchy-schwarz-agree-with-published-finite-inequalities</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-counting-measure-minkowski-agrees-with-the-published-finite-theorem</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-cw-ahss-convergence-does-not-automatically-extend-to-infinite-cw-complexes</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-group-noether-theorem-does-not-supply-the-reductive-finiteness-theorem</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-measure-implication-table-for-the-main-modes-of-convergence</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-probability-space-definition-agreement</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-product-measures-are-the-base-case-for-countable-product-constructions</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-propagation-is-not-huygens-principle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-quiver-hall-counts-and-dt-bps-interpretation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-simple-graph-convention</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-simple-groups-of-lie-type-as-named-families</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-finite-simulation-synthetic-likelihood-is-a-random-approximation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-first-order-choice-strength-boundary</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-fixed-mesh-global-error-does-not-certify-adaptivity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-flatness-is-not-constant-fibre-isomorphism</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-floating-point-conjugate-gradients-can-lose-orthogonality-conjugacy-and-finite-termination</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-free-product-and-amalgamation-conventions</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-frobenius-kernel-closure-is-the-content-of-the-theorem</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ftc-roadmap</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-fubini-should-be-applied-after-tonelli-on-absolute-values</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-function-space-conventions</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-fundamental-theorem-of-algebra-proof-routes</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-fundamental-theorem-of-algebra-via-liouville</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-fundamental-theorem-of-algebra-via-rouche</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-gauss-newton-information-is-not-full-hessian</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-geck-basic-set-theorem-scope-and-proof-status</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-analytic-sets-need-more-than-hypersurface-arguments</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-complete-metric-baire-proof-would-overstate-the-choice-cost</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-inequalities-restrict-to-the-published-finite-ones</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-law-entropy-versus-differential-entropy</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-maurer-cartan-deformation-correspondence-needs-gauge-data</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-modular-decomposition-numbers-are-not-determined-by-triangularity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-semimartingale-calculus-is-outside-this-block</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-serre-duality-deferred</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-type-a-decomposition-numbers-remain-unsolved</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-general-unequal-parameter-cell-conjectures-are-regime-dependent</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-generalized-bayes-temperature-calibration</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-generator-separator-and-the-three-inequivalent-looking-definitions</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-gibbs-phenomenon</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-gp-regression-computation-and-scope-caveats</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-green-identities-come-from-the-euclidean-integration-pair</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-greens-theorem-jordan-domain-limitation</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-grothendieck-universe-orientation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hahn-banach-open-choice-questions</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-handle-decompositions-are-not-canonical</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-handle-slides-are-not-handle-cancellations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-harish-chandra-isomorphism-and-category-o</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hausdorff-analogy-limited</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hausdorff-dimension-orients-the-weierstrass-graph</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hausdorff-young-and-interpolation</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-heat-kernel-conventions-and-diffusivity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-heine-criterion-choice-cost</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-heisenberg-uncertainty-is-owned-by-functional-analysis</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hereditary-and-productive-separation-ledger</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hh-affine-hecke-general-bernstein-pbw-awaits-local-proof</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hh-affine-tempered-langlands-classification-awaits-local-proof</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-high-elbo-alone-does-not-certify-posterior-calibration</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-highest-weight-classification-does-not-imply-semisimplicity-in-positive-characteristic</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-highest-weights-can-have-the-same-primitive-ideal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hilbert-and-riesz-transform-endpoint-map</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-history-of-the-first-generation-classification</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-holomorphic-logarithm-and-principal-power-dictionary</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-holonomy-is-a-germ-not-a-globally-defined-return-map</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-holonomy-of-a-connection</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hom-of-homology-is-not-the-definition-of-singular-cohomology</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-homological-simple-connectivity-conventions</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hopf-algebra-structure-on-the-enveloping-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-how-much-of-the-theory-needs-symmetry-closedness-and-completeness</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-hypersurface-chart-measure-and-hausdorff-measure-agreement</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-improper-integral-conventions-and-scope</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-induced-representation-agrees-with-the-tensor-product-model</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-integral-conventions-and-scope</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-integral-torsion-is-not-detected-by-real-characteristic-forms</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-intermediate-models-and-complete-subalgebras</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-inverse-image-versus-pullback</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ip-arbitrary-denoiser-has-no-inherited-objective</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ip-eit-conductivity-rate-source-reconciliation</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ip-inversebench-scoped-findings</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-isbells-argument-that-isomorphic-objects-cannot-simply-be-identified</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-isolated-does-not-imply-nondegenerate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-isotopy-extension-needs-compact-source-or-proper-support-control</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ito-versus-stratonovich-boundary</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-jacobian-presentation-independence</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-jones-polynomial-unknot-detection-status</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-jordan-chevalley-parts-agree-under-the-adjoint-representation</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-jordan-rectifiable-terminology</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-kolmogorov-extension-state-space-boundary</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-l-one-sequence-versus-l-one-nonatomic-rnp</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-l2-projection-agreement</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lattice-path-conventions</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-laver-preparation-versus-pfa-bookkeeping</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lax-milgram-owned-by-pde</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lebesgue-extension-of-manifold-density-integration</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lebesgue-stieltjes-convention-ledger</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lefschetz-index-formula-recovers-poincare-hopf</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-leo-refined-s-current-computations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-limits-of-the-elliptic-parabolic-hyperbolic-trichotomy</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-linear-change-of-variables-for-jordan-content-and-lebesgue-measure</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lipschitz-versus-c-one-versus-smooth-domain-hypotheses</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-littlewood-paley-endpoints-require-hardy-and-bmo-replacements</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-local-degree-argument-principle-agreement</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-local-uniform-convergence-dictionary-on-plane-domains</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-locally-uniform-convergence-dictionary</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-logarithm-roadmap-and-circularity</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lone-fourier-series-can-diverge-almost-everywhere</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-low-rank-coincidences-and-duplicate-family-names</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lp-completeness-and-the-banach-property</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lp-duality-in-abstract-language</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lp-spaces-are-banach-spaces</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-lyapunov-inequality-is-equivalent-to-log-convexity-of-p-to-log-norm</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-m-group-converses-and-boundary</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-mac-lanes-original-conditions-and-what-became-of-them</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-magidor-and-extender-prikry-orientation</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-manifold-conventions-and-the-role-of-second-countability</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-marginal-risk-control-and-adaptive-reuse</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-maschke-failure-in-defining-characteristic</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-matrix-function-condition-estimates-are-not-certified-bounds</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-maximal-versus-maximum-matching</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-maximum-principles-need-domain-and-boundary-hypotheses</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-mean-curvature-and-minimal-submanifolds</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-measurable-function-codomain-convention</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-metric-axiom-conventions</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-meyers-serrin-does-not-assert-density-for-p-infinity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-middle-dimensional-surgery-has-an-intersection-form-obstruction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-mihlin-does-not-assert-strong-endpoint-bounds</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-model-equivalence-supports-but-does-not-prove-the-thesis</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-module-categories-have-enough-injectives-is-already-published</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-modules-and-the-word-homogeneous</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-monodromy-corollary-agrees-with-the-earlier-simply-connected-logarithm-theorems</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-monoidal-functor-means-different-things-in-different-sources</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-morse-does-not-mean-distinct-critical-values</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-morse-homology-over-the-integers-does-not-require-orientability-of-m</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-morse-inequalities-depend-on-the-coefficient-field</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-morse-smale-residuality-does-not-assert-simultaneous-genericity-for-all-data</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-motivic-versus-untwisted-finitary-hall</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-multidimensional-riemann-conventions-and-scope</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-na-pe06-pressure-recovery-escalation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-na-practical-dpg-roundoff-and-normal-equations</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-necklace-count-agrees-with-the-published-cycle-construction</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-neumann-spectrum-and-the-constant-zero-mode</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-no-general-positive-combinatorial-rule-for-kronecker-coefficients-is-known</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-noetherian-conventions-and-choice</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-noetherian-hypotheses-do-not-descend-to-subrings</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-nonabelian-extension-obstruction-in-h-three</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-noncompact-flow-completeness-is-an-extra-hypothesis</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-noncompact-morse-genericity-is-not-an-open-dense-claim</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-noncompact-morse-homology-needs-properness-completeness-and-compactness-control</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-none-of-the-high-dimensional-exotic-sphere-results-settle-the-smooth-four-dimensional-poincare-problem</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-nonmonogenic-number-field-source-obligation</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-nonregular-or-nonfree-symplectic-quotients-need-not-be-manifolds</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-nonsimply-connected-whitney-tricks-carry-group-ring-and-whitney-disk-obstructions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-nonsymmetric-lax-milgram-is-not-a-scalar-minimisation-principle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-normal-framing-stable-normal-framing-and-tangential-framing-are-distinct-data</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-normalization-not-resolution-higher-dimension</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-not-every-homology-class-is-represented-by-an-embedded-submanifold-integrally</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-novikov-conclusions-do-not-extend-to-arbitrary-codimension-or-noncompact-manifolds</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-nullity-and-nowhere-density-remain-independent-for-lebesgue-measure</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-objectwise-double-dual-isomorphisms-do-not-supply-a-pivotal-structure</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-offline-rl-distribution-shift-and-pessimism</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-omega-one-and-the-cost-of-choice</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-omega-one-strongly-compact-normal-moore-refinement</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-onan-scott-eight-type-and-five-type-conventions</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-open-mapping-theorem-via-argument-principle</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-optional-stopping-requires-a-passage-to-the-limit-hypothesis</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-oracle-and-promise-conventions-are-distinct</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ordinal-versus-cardinal-exponentiation</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-orientation-and-notation-conventions-for-ends-coends-and-twisted-arrows</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-paley-wiener-and-microlocal-analysis</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-paracompactness-choice-and-convention-ledger</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-pe26-conditioning-and-work-are-separate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-permutation-statistics-conventions</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-pincus-transfer-interface-and-preservation-limits</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-pivotal-and-spherical-structures-vary-by-monoidal-automorphisms-of-the-identity</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-plane-harmonic-theory-is-owned-by-complex-analysis</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-plane-star-shaped-and-convex-dictionary</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-pointwise-and-integral-constraints-have-different-regularity-tests</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-polar-coordinates-recover-the-published-ball-volume-and-gaussian-formulas</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-polynomial-identity-bounds-for-sum-check</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-polynomials-are-not-polynomial-functions</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-positive-square-root-and-covariance-matrices</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-preference-coverage-and-model-misspecification</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-preprojective-coha-and-nakajima-action-source-boundaries</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-probability-characteristic-function-normalization</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-products-need-scheme-fibre-products</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-proj-does-not-recover-graded-ring-literally</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-projective-coordinate-ring-not-function-ring</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-projective-modules-are-flat-is-supplied-by-mod-three</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-projective-representations-and-the-schur-multiplier</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-projective-versus-proper</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-proof-cost-and-complex-analysis-interface-for-hardy-uncertainty</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-proof-cost-of-the-carleson-hunt-theorem</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-proper-cohomology-finiteness-needs-coherence</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-proper-not-topologically-compact-over-arbitrary-field</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-properness-can-replace-compactness-only-when-the-intersection-trace-is-compact</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-properties-can-change-after-field-extension</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-qa-20-higher-order-formula-proof-obligations</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-qa-32-bqp-pp-pspace-proof-obligations</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-qa-34-dequantization-scope</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-qa-35-private-coin-lower-bound-unresolved</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-qa-nonabelian-hidden-subgroup-scope</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-qa-number-theoretic-extension-scope</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-quadratic-variation-depends-on-the-approximating-partitions-without-regularity</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-quasi-and-weak-hopf-extensions-change-different-axioms</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-quotient-sheaf-versus-representing-scheme</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-r-native-topology-scope</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ramsey-and-erdos-rado-orientation</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rapl-carries-no-size-hypothesis</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-raw-versus-usual-filtration-in-the-strong-markov-theorem</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-real-and-complex-normed-space-convention</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-real-arithmetic-graph-versus-rounded-execution</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-real-banach-spaces-require-complexification-for-analyticity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-real-exponents-deferred</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-real-hp-is-quasi-banach-below-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rearrangement-in-higher-dimensions</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-reasoning-training-evidence-and-evaluation-targets</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-reciprocal-root-convention-for-recurrences</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-reebless-and-taut-are-not-equivalent-without-extra-hypotheses</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-regular-homotopy-allows-self-intersections-but-never-rank-drop</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-regularity-estimates-do-not-create-boundary-compatibility</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rellich-is-a-strictly-subcritical-theorem</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-representation-theory-of-noncompact-real-reductive-groups</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-resolution-higher-dimension-not-claimed</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-resolution-of-singularities-conventions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-riemann-integral-choice-ledger</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-riemann-sphere-one-point-compactification</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-riemann-stieltjes-conventions-and-scope</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-riesz-representation-name-split</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-riesz-thorin-supplied-by-measure-theory</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rigidity-alone-does-not-make-a-tensor-category</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-ring-form-of-the-de-rham-theorem-needs-the-singular-cup-product</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rmk-functional-analysis-uses</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rn-conventions-and-scope</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rnp-is-not-the-scalar-radon-nikodym-theorem</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-routes-to-the-catalan-count</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-roydens-vitali-route-is-a-third-proof</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-rsk-longest-increasing-subsequence-consequences-remain-rg11-owned</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sauer-shelah-uses-no-linear-algebra</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-scalar-de-giorgi-theory-does-not-transfer-verbatim-to-systems</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-schatten-p-classes</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-schauder-and-sobolev-estimates-are-different-scales</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-schwarz-reflection-as-analytic-continuation</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sections-not-determined-by-single-stalk</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-self-adjoint-extensions-and-deficiency-indices</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-semantic-ctm-versus-formal-relative-consistency</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-semigroup-sign-and-generator-conventions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-semisupervised-cluster-assumptions</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-separability-is-essential-for-finite-integral-closure</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-separate-regularity-and-joint-continuity-in-the-real-and-complex-cases</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-separation-axiom-conventions</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sequence-conventions</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-several-variable-conventions-and-the-identity-theorem-gap</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sharp-and-classical-fundamental-theorems-of-calculus-agreement</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sharp-degree-thresholds-wait-for-duality</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-shoenfield-absoluteness-scope-orientation</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sieve-pigeonhole-and-double-counting-conventions</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sign-patterns-in-the-four-square-identity</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-signature-is-not-defined-geometrically-by-zero-in-other-dimensions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-simple-groups-as-composition-factors</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-simple-homotopy-and-the-vanishing-criterion-are-at-owned</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-simply-connected-convention-for-plane-domains</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sir-finite-particle-error-bound-scope</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-size-of-natural-transformation-collections</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-skorokhod-representation-does-not-couple-the-original-variables</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-smale-hirsch-is-a-weak-homotopy-equivalence-not-asserted-as-an-actual-homotopy-equivalence</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-smooth-and-topological-partition-theorems-have-different-proof-costs</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-smooth-four-dimensional-surgery-is-not-covered-by-the-high-dimensional-program</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-smooth-projective-locally-free-duality-is-the-ag-lie-special-case</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sobolev-weak-derivatives-belong-to-pde</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-spec-contravariance-and-points</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-spectral-sequence-belongs-homological-algebra</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sphere-eversion-cannot-be-an-isotopy-through-embeddings</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sphere-immersion-groups-are-at-computations-not-dt-constructions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-square-and-club-guessing-orientation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-standard-upper-semicontinuous-subharmonic-convention</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-standing-hypotheses-for-ordinary-character-theory</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-statistical-and-numerical-kernel-errors</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-status-of-the-second-generation-proof</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-stirling-number-and-egf-conventions</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-stone-exact-choice-strength-open-status</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-strength-order-of-the-nonnegative-tests</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-strictification-gives-equivalence-and-never-isomorphism</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-strong-law-does-not-assert-a-rate</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-strong-weak-and-interaction-scope</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sums-proved-to-exist-but-not-evaluated</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-sup-conventions</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-surface-contraction-and-resolution-scope-boundaries</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-surface-gauss-bonnet-versus-higher-dimensional-cern-gauss-bonnet</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-surface-riemann-roch-hodge-index-conventions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-surjectivity-alone-does-not-give-a-banach-submanifold-without-a-split-kernel</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-tarski-truth-definition-interface</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-taylor-coefficient-formula-agreement</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-temperley-lieb-scaling-limit-and-boundary-status</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-tensor-category-terminology-is-source-dependent</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-associator-runs-the-other-way-in-mac-lane</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-attribution-of-the-unit-redundancies</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-axiom-labels-and-where-they-come-from</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-boundary-of-the-fusion-category-development</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-choice-behind-assembling-an-adjoint</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-choice-cost-of-strictification</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-choice-cost-of-urysohns-lemma-and-of-tietzes-theorem</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-classical-zeta-region-is-not-a-uniform-dirichlet-l-region</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-codifferential-and-hodge-theory</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-commutative-monoid-case</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-connecting-morphism-depends-on-no-choices</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-cost-of-the-member-calculus</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-covering-criterion-and-the-member-calculus-are-the-same-tool</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-crystal-identification-does-not-elementarily-identify-cellular-simple-labels</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-diagonal-convention-in-self-density</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-erdos-hajnal-conjecture</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-exact-scope-of-the-coherence-statement</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-field-is-a-hypothesis-of-every-bound-on-this-page</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-full-ext-version-requires-the-koszul-grading-of-category-o</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-grothendieck-spectral-sequence-has-a-dual-left-derived-form</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-h-cobordism-theorem-does-not-cover-boundary-dimension-four</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-heat-operator-family-is-an-analytic-semigroup-in-the-later-abstract-language</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-history-of-the-coherence-theorem</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-image-preimage-adjunctions-explain-the-published-preservation-laws</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-left-right-naming-clash</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-lone-endpoint-is-excluded-from-carleson-hunt</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-matrix-category-is-the-finite-biproduct-completion-of-a-ring</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-morse-index-theorem-for-geodesics</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-order-of-the-tensor-factors-in-composition</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-outward-boundary-hypothesis-cannot-be-replaced-by-nonzero-on-the-boundary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-p-one-difference-quotient-converse-leads-to-bv-not-w-one-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-particular-yoneda-end-and-the-enriched-functor-category-are-different-size-claims</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-perfect-induced-subgraph-formulation-of-the-erdos-hajnal-conjecture</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-published-group-development-is-the-instance</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-published-modular-law-for-subgroups-is-the-instance</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-published-module-statement-is-the-instance-of-this-corollary</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-published-typewriter-sequence-shows-why-riesz-fischer-only-promises-a-subsequence</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-quasithin-gap-and-its-repair</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-rank-of-a-general-inclusion-matrix-is-not-established-here</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-reach-of-the-classical-divergence-and-stokes-theorems</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-size-of-the-constant-in-rodls-theorem</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-smooth-whitney-trick-fails-in-dimension-four</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-symmetric-and-braided-coherence-theorems-compare-s-n-with-b-n</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-theta-seven-calculation-consumes-stable-stems-j-and-kervaire-milnor-arithmetic</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-two-descriptions-of-the-subfield-lattice-of-a-finite-field</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-two-forms-of-rodls-theorem</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-two-halves-of-the-four-lemma-are-mutually-dual</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-underlying-category-can-lose-information</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-universal-properties-of-kleisli-and-eilenberg-moore-are-schematic</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-the-winding-number-and-the-planar-vortex-field</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-this-does-not-reduce-indexed-limits-to-conical-ones</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-thom-space-empty-and-rank-zero-conventions</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-thom-spectrum-construction-is-not-minted-in-dt</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-three-lines-and-complex-interpolation</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-tits-isomorphism-is-noncanonical</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-toen-kapranov-and-triangle-counts-are-distinct</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-topological-versus-scheme-theoretic-subspace</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-topology-conventions</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-total-derivative-conventions-and-linear-map-seam</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-tower-and-wowzer-bounds-in-regularity</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-transverse-orientability-is-load-bearing-in-the-global-codimension-one-form</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-triangulated-sign-convention</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-truncated-training-and-exact-hypergradients</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-two-dimensional-poisson-disc-theory-is-cited-not-repeated</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-two-results-called-mazurs-lemma</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-two-routes-to-every-dual-statement</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-two-senses-of-regularity-for-lebesgue-measure</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-tychonoff-choice-strengths</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-unbracketed-tensor-strings-are-not-yet-defined</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-uncertainty-principles-measure-different-notions-of-localisation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-uniform-convergence-agrees-with-the-later-uniform-topology</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-universality-is-the-construction-independence-principle</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-urysohn-implies-dmc-open-status</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-valuative-criterion-quantifies-all-valuation-rings</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-value-functions-and-hamilton-jacobi-bellman-equations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-vanishing-primary-double-point-and-characteristic-obstructions-do-not-classify-embeddings</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-wave-poisson-formula-is-not-the-harmonic-poisson-kernel</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-weak-derivatives-are-distributional-derivatives-with-function-values</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-weak-harnack-exponent-has-a-coefficient-and-dimension-dependent-upper-range</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-weight-system-integration-proof-boundary</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-weighted-endpoints-are-not-obtained-by-setting-p-equal-one</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-weil-pullback-not-automatic</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-weyl-kac-products-are-formal-not-analytic-identities-here</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-what-is-needed-before-a-trace-can-be-written</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-what-is-not-developed-here</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-what-is-not-proved-about-change-of-base</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-what-the-diagonal-criterion-gives-and-what-it-costs</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-what-the-library-does-and-does-not-prove-about-cfsg</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-what-the-subtraction-rule-does-not-say</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-where-a-choice-principle-would-be-needed</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-where-the-archimedean-hypothesis-is-needed</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-which-axiom-each-construction-uses</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-which-side-the-word-left-refers-to</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-whitehead-group-construction-remains-at-owned</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-why-completeness-alone-is-not-enough-for-an-adjoint</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-why-separation-replaces-unrestricted-comprehension</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-why-the-diagram-lemmas-are-not-proved-by-the-embedding-theorem</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-why-the-enriched-generalisation-cannot-stop-at-conical-limits</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-why-the-five-lemma-asks-for-isomorphisms-in-the-middle</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-why-the-middle-nine-lemma-needs-a-zero-composite</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-why-this-library-takes-unit-counit-as-the-definition</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-wiener-lemma-is-developed-on-the-fourier-analysis-track</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-zero-dimensional-morse-convention</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/rem-zero-times-infinity-convention-for-pointwise-products</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-banach-space-is-reflexive-iff-its-dual-is-reflexive</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-based-root-system-is-determined-up-to-isomorphism-by-its-cartan-matrix</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bernstein-set-has-inner-measure-zero-and-full-outer-measure-in-every-interval</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bipartite-graph-with-bounded-a-degree-has-a-large-comb-or-a-small-b-side</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bounded-above-acyclic-complex-of-injective-objects-is-contractible-when-its-cycle-monomorphisms-split</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bounded-above-complex-of-projectives-is-homotopically-projective</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bounded-below-acyclic-complex-of-projective-objects-is-contractible-when-its-cycle-epimorphisms-split</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bounded-below-complex-of-injectives-is-homotopically-injective</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bounded-partition-into-weakly-restricted-sets</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-bounded-projective-bimodule-complex-defines-a-derived-tensor-functor</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-braided-rigid-category-has-a-drinfeld-morphism</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-cartesian-square-induces-an-isomorphism-on-the-kernels-of-its-parallel-legs</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-cartesian-square-over-an-epimorphism-is-also-cocartesian</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-category-enriched-in-a-preorder-is-a-preorder-and-one-enriched-in-sets-is-an-ordinary-category</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-category-enriched-in-abelian-groups-is-exactly-a-preadditive-category</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-category-enriched-in-categories-is-exactly-a-small-object-strict-two-category-with-small-homs</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-category-enriched-in-the-two-element-lattice-is-a-preordered-set</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-category-is-tensored-exactly-when-every-covariant-hom-has-a-left-enriched-adjoint</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-category-with-finite-biproducts-is-enriched-in-commutative-monoids</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-category-with-finite-products-is-monoidal</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-central-product-of-extraspecial-p-groups-is-extraspecial</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-chain-homotopy-equivalence-is-a-quasi-isomorphism</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-chain-map-induces-a-well-defined-map-on-homology</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-chain-map-is-a-homotopy-equivalence-exactly-when-its-cone-is-contractible</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-chain-map-is-a-quasi-isomorphism-exactly-when-its-cone-is-acyclic</loc><lastmod>2026-09-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-chosen-family-of-ends-assembles-into-a-functor-of-the-parameters</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-closed-monoidal-category-has-its-tensor-cocontinuous-in-each-variable</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-closed-monoidal-category-is-enriched-in-itself</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-coend-is-a-colimit-weighted-by-the-hom-bifunctor</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-commuting-square-with-monic-legs-is-a-pullback-exactly-when-the-induced-morphism-to-the-intersection-is-an-isomorphism</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-compact-hausdorff-space-is-regular-and-normal</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-complete-local-isometry-is-a-covering-map</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-complete-locally-small-category-with-a-jointly-weakly-initial-set-has-an-initial-object</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-complete-locally-small-category-with-a-small-coseparating-set-and-all-subobject-intersections-has-an-initial-object</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-complex-is-exact-at-n-exactly-when-its-nth-homology-is-zero</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-complex-linear-operator-comes-from-a-real-operator-exactly-when-it-commutes-with-the-chosen-conjugation</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-composite-of-a-quotient-and-a-subobject-inclusion-is-the-canonical-factorisation</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-conical-limit-is-stronger-than-a-limit-in-the-underlying-category</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-connected-covering-space-of-a-connected-lie-group-carries-a-unique-lifted-lie-group-structure</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-continuous-functor-preserves-ends-and-a-cocontinuous-functor-preserves-coends</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-coproduct-of-projectives-is-projective-and-a-product-of-injectives-is-injective</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-cycle-and-a-forest-complement-have-the-erdos-hajnal-property</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-decomposable-wedge-is-nonzero-exactly-for-independent-vectors</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-deformation-retract-is-a-homotopy-equivalence</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-direct-summand-of-a-projective-is-projective</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-distribution-with-zero-derivatives-on-a-connected-open-set-is-constant</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-distributive-law-makes-the-composite-a-monad</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-divergence-free-c1-field-on-a-star-shaped-open-set-has-a-vector-potential</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-dual-object-in-the-endofunctor-category-is-an-adjoint-functor</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-family-natural-in-the-parameter-factors-through-the-parametrised-end</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-filtered-complex-produces-an-exact-couple</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-finitary-monad-on-a-complete-cocomplete-locally-small-category-has-complete-and-cocomplete-algebras</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-finite-cw-homotopy-equivalence-is-simple-if-and-only-if-its-whitehead-torsion-vanishes</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-finite-family-with-the-erdos-hajnal-property-is-viral</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-finite-group-is-abelian-iff-all-its-irreducible-complex-characters-have-degree-one</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-first-quadrant-filtered-complex-spectral-sequence-converges-to-filtered-homology</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-five-and-symmetric-groups-from-degree-five-are-not-solvable</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-flat-connection-admits-local-parallel-frames</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-forest-complement-and-its-star-expansion-have-the-erdos-hajnal-property</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-free-proper-action-makes-m-to-m-mod-g-a-principal-g-bundle</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-free-ultrafilter-on-n-is-not-lebesgue-measurable</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-full-subcategory-is-reflective-exactly-when-each-object-has-a-universal-arrow</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-function-is-a-bijection-exactly-when-it-has-a-two-sided-inverse</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-functor-between-additive-categories-is-additive-exactly-when-it-preserves-finite-biproducts</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-generating-set-with-no-two-letter-relation-whose-cayley-graph-is-a-tree-is-a-free-basis</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-generator-detects-equality-of-subobjects</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-geodesic-does-not-minimize-past-its-first-conjugate-point</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-grothendieck-abelian-category-has-functorial-injective-embeddings</loc><lastmod>2026-09-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-group-admits-a-universal-central-extension-iff-it-is-perfect</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-a-homomorphism-from-a-connected-lie-group-is-determined-by-its-differential-at-the-identity</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-a-lax-monoidal-functor-carries-monoid-objects-to-monoid-objects</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-a-left-adjoint-exists-exactly-when-every-comma-category-has-an-initial-object</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-a-left-exact-functor-preserves-monomorphisms-and-a-right-exact-functor-preserves-epimorphisms</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-a-length-minimizing-piecewise-smooth-curve-is-a-constant-speed-geodesic-up-to-reparametrization</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-a-locally-finite-sum-of-smooth-functions-is-smooth</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-artinian-local-ring-has-nilpotent-maximal-ideal</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-barycentric-subdivision-realizes-homeomorphically</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-base-point-free-linear-system-morphism</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-based-sphere-maps-are-classified-by-geometric-degree</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-adaptive-composition</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-algebra-and-order-properties-of-conditional-expectation</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-and-advanced-composition</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-bochner-kodaira-morrey-estimate-cn</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-cardinal-function-inequalities</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-cohen-generic-real-set-has-no-countably-infinite-subset</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-cohen-model-has-an-infinite-dedekind-finite-set-of-reals</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-cohen-model-satisfies-bpi-and-fails-choice</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-fraenkel-model</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-koszul-homology</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-laws-for-field-norm-and-trace</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basic-properties-of-the-categorical-trace</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basis-criterion</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bass-guivarch-growth-degree-formula-with-proof</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bass-serre-structure-theorem</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-basu-independence</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bauer-fike-eigenvalue-perturbation-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bayes-formula-for-dominated-kernels</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bayes-rule-minimizes-prior-risk</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bdf2-is-a-stable</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-becks-monadicity-theorem</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-becks-strict-monadicity-theorem</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-behnke-stein-increasing-union</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-belief-mdp-sufficient-statistic</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bellman-contraction-and-unique-fixed-point</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bellman-error-unlearnability-example</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-calderon-mapping-and-jump-identities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-combined-field-conditional-invertibility</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-double-layer-transmission-jumps-and-bounds</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-exterior-helmholtz-dirichlet-uniqueness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-helmholtz-layer-jumps-match-laplace-jumps</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-hypersingular-ellipticity-and-stabilized-formulation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-logarithmic-capacity-homothety-and-layer-scale</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-matrix-perturbation-transfer</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-single-layer-galerkin-wellposed-and-quasioptimal</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-single-layer-transmission-mapping-and-coercivity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bem-smooth-helmholtz-operator-compact-perturbation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-benard-florens-rodau-logarithmic-gauss-formula</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-benjamini-hochberg-independent-fdr</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-berge-augmenting-path-characterisation</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bergman-basis-expansion-and-closedness</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bergman-kernel-biholomorphic-transformation</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bergman-metric-positivity-and-biholomorphic-invariance</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bergman-reproducing-projection-and-extremal</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-berkson-error-slope-in-simple-linear-model</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bernstein-absolute-convergence-theorem</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bernstein-convex-hull-and-positivity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bernstein-independent-sums</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bernstein-polynomials-converge-uniformly</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bernstein-sets-exist-under-a-well-ordering-of-r</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bertini-smooth-hyperplane-section</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bertrands-postulate</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bessel-inequality-and-finite-parseval-identity</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bessel-inequality-for-an-arbitrary-orthonormal-family</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bessel-potential-completions-embed-in-tempered-distributions</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bessel-potential-space-has-the-weighted-tempered-distribution-characterisation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-best-rank-k-frobenius-matrix-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-beta-binomial-conjugate-update</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-beta-gamma-identity</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-beurling-ahlfors-extension</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bezout-identity-for-polynomials</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bezout-identity</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bezout-plane-curves</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bezout-uniqueness-low-degree-interpolation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bgg-reciprocity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bgg-resolution-of-a-finite-dimensional-simple-module</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bgg-verma-homomorphism-criterion</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bh-fdr-control-under-prds</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bias-variance-decomposition</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bic-fitted-risk-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bidiagonal-singular-values-relative-under-componentwise-perturbations</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bidiagonal-svd-backward-error-under-local-stability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-biholomorphic-self-maps-riemann-sphere-are-mobius</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bilinear-forms-correspond-to-linear-maps-into-the-dual</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bimodule-actions-induced-on-tensor-products</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bimodule-tensor-exactness-and-projective-preservation</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binary-kraft-criterion-for-finite-lengths</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binary-logistic-derivatives-and-irls-update</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binary-outcome-mnar-nonidentification</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binary-resultant-zero-iff-common-geometric-projective-root</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binary-trees-correspond-to-dyck-paths</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binet-cauchy-formula</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bing-metrization</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bing-q-set-moore-space-is-normal-and-nonmetrizable</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binned-calibration-estimator-limits</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binomial-closed-formula</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binomial-theorem-over-a-commutative-ring</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-binomial-theorem</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bipartite-graph-iff-adjacency-spectrum-is-symmetric</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bipartite-iff-no-odd-cycle</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bipolar-closure-for-linear-subspaces</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-biproduct-data-characterisation-without-addition</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-birational-equivalence-function-fields</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-birkhoff-ergodic-probability-case-for-strong-laws</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-birkhoff-ergodic-theorem</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-birkhoff-grothendieck-vector-bundles-p1</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-birkhoff-limit-identification-on-finite-measure-spaces</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-birkhoff-representation-finite-distributive-lattices</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bishop-gromov-volume-comparison</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bishop-phelps</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bivariate-additive-noise-identifiability</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blackboard-framing-self-linking-is-writhe</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blakers-massey-connectivity-for-a-homotopy-pushout</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blaschke-factor-is-a-disc-automorphism</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blaschke-product-boundary-values-and-zeros</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blass-model-has-only-principal-ultrafilters</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bloch-theorem</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-block-bimodule-has-a-diagonal-vertex</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-block-intersections-in-a-symmetric-design</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-block-ldl-star-residual-with-actual-growth</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-block-lu-factorisation-via-an-invertible-leading-block</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-block-projector-frechet-derivative-and-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-block-systems-and-g-invariant-equivalence-relations-correspond</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blocks-partition-ordinary-and-brauer-irreducible-characters</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blowup-base-change-flat</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blowup-closed-immersion-transform-universal</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blowup-effective-cartier-divisor-isomorphism</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blowup-projective</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-blowup-separates-plane-curve-tangent-directions</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-blr-linearity-test-soundness</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-blumenthal-zero-one-law</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bmo-defines-a-bounded-functional-on-hone</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-bochner-dominated-convergence</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bochner-integrability-criterion</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bochner-martinelli-integral-formula</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-bohr-mollerup-characterisation-of-the-real-gamma-function</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bolzano-weierstrass</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bondy-chvatal-closure-theorem</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bonferroni-familywise-error-control</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bonferroni-simultaneous-coverage</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bonnet-conjugate-radius-theorem</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bonnet-myers</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-bootstrap-draws-are-conditionally-iid-empirical-law</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-bootstrap-fails-at-nonsmooth-boundary-and-degenerate-mean-functionals</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-borel-functional-calculus-for-bounded-normal-operators</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-borel-payoffs-admit-unraveling-covers</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-borel-probability-measures-on-polish-spaces-are-inner-regular</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-borel-products-of-euclidean-spaces-are-euclidean-borel</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-borels-normal-number-theorem</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-componentwise-convergence-and-completeness</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-componentwise-holomorphy-in-several-complex-variables</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-componentwise-limits-and-continuity</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-componentwise-shannon-mcmillan-breiman</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-composite-bull-free-graphs-have-a-nontrivial-module</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-composite-midpoint-error-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-composite-simpson-error-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-composite-simpson-error-for-chebyshev-weighted-mass-matrix</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-composite-trapezoidal-rule-error-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-composition-and-sum-formulas-for-whitehead-torsion</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-composition-of-continuous-functions</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-composition-of-function-limits</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-composition-respects-homotopy</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-composition-with-a-continuous-function</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-composition-with-borel-functions-preserves-measurability</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-condensation-for-constructible-levels</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-conditional-expectation-derandomizes-max-cut-half-approximation</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-egorovs-theorem</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-eigenpair-residual-realises-the-minimum-norm-backward-error</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-elbo-kl-decomposition</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-elementary-and-complete-families-freely-generate-the-stable-ring</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-elementary-initial-segments-form-a-club</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-elementary-ordinal-chain-union</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-elementary-row-operations-are-left-multiplication</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-elementary-symmetric-polynomials-are-algebraically-independent</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-elimination-of-unit-productions</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-elliptic-cubic-chord-tangent-group-law</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-elliptic-finite-difference-l2-error-on-rectangles</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-elliptic-function-divisor-laws</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-elliptic-hyperbolic-dichotomy-for-tree-automorphisms</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-global-residue-theorem-algebraic-curve</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-schauder-estimate-and-classical-dirichlet-solvability</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-schauder-regularity-for-the-weak-dirichlet-laplacian</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-sections-affine-scheme</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-sphere-degree-is-the-sum-of-local-degrees</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-stable-and-unstable-manifolds-are-immersed-euclidean-spaces</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-strong-well-posedness-for-lipschitz-ito-sdes</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-w-two-p-dirichlet-estimate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-w-two-p-estimate-for-the-laplacian-on-rn</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-global-wasserstein-flow-existence-uniqueness-and-stability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gluing-affine-schemes</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gluing-ringed-and-locally-ringed-spaces</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gluing-sheaves</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gmres-true-residual-gap-from-computed-arnoldi-relation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gns-construction-for-topological-groups</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-godbillon-vey-class-is-invariant-under-smooth-foliated-concordance</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-godement-resolution-flasque</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-godunov-flux-is-consistent-and-conservative</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gohberg-semencul-inverse-identity-and-cost</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-going-down-over-normal-domains</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-going-up</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-goldstine</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-golub-welsch-certified-enclosures-are-sound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-good-and-geometric-quotient-on-stable-locus</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-good-node-gives-the-simple-socle-and-head-of-residue-restriction</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-good-reduction-and-smooth-proper-base-change</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gordon-luecke-knot-complement-determines-knot</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-goursat-theorem-one-exceptional-point</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-goursat-triangle-theorem</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gp-regression-kernel-ridge-posterior-mean-equivalence</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gp-regression-log-marginal-likelihood</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-bimodule-tensor-hom-adjunction</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-clifford-modules-and-real-complex-types</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-decomposition-numbers-equal-canonical-basis-coefficients-in-characteristic-zero</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-eilenberg-watts-with-coherent-shifts</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-krull-schmidt-for-finite-dimensional-graded-modules</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-module-classification-from-even-subalgebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-projective-and-simple-classes-have-shift-orbit-bases</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-specht-classes-realize-standard-fock-vectors</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-specht-heads-classify-the-graded-simple-modules</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-specht-module-has-homogeneous-tableau-basis</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-specht-restriction-has-the-removable-node-filtration</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graded-tensor-equivalences-induce-laurent-linear-k-zero-actions</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gradient-and-hessian-of-the-frobenius-least-squares-functional</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gradient-boosting-empirical-loss-nonincreasing</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gradient-descent-rate-under-strong-convexity-and-smoothness</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gradient-represents-directional-derivatives-and-steepest-ascent</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gradient-theorem-for-line-integrals</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graham-pollak</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gram-determinant-detects-linear-independence</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gram-inner-product-on-exterior-powers-is-positive-definite</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gram-schmidt-orthonormalisation</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grand-equivalence-for-simply-connected-plane-domains</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grand-loop-existence-of-highest-weight-crystal-bases</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graph-closed-for-classical-variety-morphism</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graph-gradient-error-from-local-jacobian-perturbations</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graph-harmonic-extension-uniqueness-and-maximum-principle</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graph-nonisomorphism-is-in-ip</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graph-of-continuous-function-on-a-compact-set-has-content-zero</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graph-removal-lemma</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graphical-lasso-convexity-and-kkt</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-graphs-of-continuous-functions-have-content-zero</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-great-picard-theorem</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-greedy-set-cover-is-an-h-n-approximation</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-correspondence-with-exceptional-families</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-function-exists-on-bounded-plane-domains</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-function-for-a-ball-in-rn</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-function-from-equilibrium-potential</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-function-harmonic-measure-representation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-function-simply-connected-plane-domain</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-function-symmetry</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-function-uniqueness-symmetry-and-monotonicity</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-hall-coproduct-is-a-twisted-bialgebra-map</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-indecomposability-for-index-p-integral-induction</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-representation-formula</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-green-vertex-source-existence-and-conjugacy</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-greendlinger-lemma-for-c-prime-one-sixth-presentations</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-greendlinger-shell-existence-from-the-curvature-count</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-greens-theorem-for-finite-unions-of-elementary-regions</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gregory-leibniz-series-for-pi-from-a-finite-remainder</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-greibach-normal-form</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grid-commutation-stabilization-invariance-proof</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grid-homology-independent-of-grid-and-equals-knot-floer</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grid-knot-floer-complex-procedure-properties</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grid-moves-generate-oriented-knot-isotopy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grid-upsilon-equals-oss-upsilon</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gronwall-integral-inequality</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grothendieck-group-universal-properties-and-functoriality</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grothendieck-riemann-roch-for-projective-morphisms</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grothendieck-spectral-sequence</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-actions-and-group-ring-modules-correspond</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-actions-correspond-to-homomorphisms</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-algebra-decomposes-as-a-product-of-matrix-algebras-over-an-algebraically-closed-field</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-centered-score-estimator-factor</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-cohomological-dimension-is-detected-by-cohomology-vanishing</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-convolution-equivariance</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-homomorphism-injective-iff-trivial-kernel</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-pushout-as-an-amalgamated-quotient</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-ring-is-a-unital-algebra-with-basis-g</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-ring-is-commutative-iff-the-group-is-abelian</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-group-sequential-alpha-spending-calibration</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grouping-independent-sigma-algebras</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grouping-of-series</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-groups-are-monadic-over-sets</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-groups-of-finite-integral-cohomological-dimension-are-torsion-free</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-groups-of-order-forty-five-are-abelian</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-groups-of-order-one-hundred-five-have-a-normal-sylow-subgroup</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-groups-of-order-p-squared-q-have-a-normal-sylow-subgroup</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-groups-of-order-thirty-have-a-normal-sylow-subgroup</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-growth-type-is-a-quasi-isometry-invariant-of-finitely-generated-groups</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-growth-type-is-independent-of-the-finite-generating-set</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grp-is-complete-and-cocomplete</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-grushko-decomposition-and-rank-additivity</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gysin-long-exact-sequence-of-an-oriented-sphere-bundle</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-gysin-sequence-from-a-sphere-fiber-serre-spectral-sequence</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-h-cobordism-identifies-theta-n-with-oriented-diffeomorphism-classes-for-n-at-least-five</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-h-kappa-is-a-transitive-set</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-h-plus-j-equals-plus-or-minus-one-gives-a-homology-seven-sphere</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-h-two-classifies-extensions-with-fixed-abelian-kernel-action</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-h0-structure-sheaf-proper-curve</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-h1-line-bundle-vanishes-sufficiently-high-degree</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-h2-matrix-vector-multiplication-correct</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hadamard-factorization-for-finite-order-entire-functions</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hadamard-lacunary-sets-are-sidon</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hadamard-product-for-riemann-xi</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hadamard-product-of-rational-series-is-rational</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hadamard-three-lines</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hahn-banach-dominated-extension</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hahn-banach-norm-preserving-extension</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hahn-decomposition-for-signed-measures</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hake-extension-theorem-for-henstock-kurzweil-integrals</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-haken-finite-box-search-correctness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-haken-jaco-tollefson-unknot-recognition-procedure-properties</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-haken-normal-essential-disk-existence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-halbeisen-shelah-no-powerset-sequence-injection</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-half-angle-identities-with-sign-conditions</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-half-order-product-integration-fredholm-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-half-relaxed-limit-stability-for-viscosity-solutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-half-space-lift-by-normal-mollification</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hall-algebra-regular-module</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hall-burnside-automorphism-theorem</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hall-marriage-finite-bipartite</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-halpern-lauchli-and-the-basic-cohen-bpi-model</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-halpern-lauchli-dense-matrix-dichotomy</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-halpern-lauchli-finite-level-partition-compactness</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-halting-is-recognizable-and-undecidable</loc><lastmod>2026-09-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-halting-is-sigma-one-complete</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hamilton-cycle-vertex-deletion-bound</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hamilton-equations-in-canonical-cotangent-coordinates</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hamilton-jacobi-conservation-law-correspondence-in-one-dimension</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hamiltonian-flows-commute-iff-their-hamiltonians-poisson-commute-up-to-locally-constant-bracket</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hamiltonian-flows-preserve-the-symplectic-form</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hamiltonian-vector-field-map-is-a-lie-antihomomorphism</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hamiltonian-vector-fields-exist-uniquely-for-smooth-functions</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-handle-cancellation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-handle-duality-from-negating-a-morse-function</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-handshake-lemma-for-finite-simple-graphs</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hankel-representation-for-reciprocal-gamma</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hard-attention-languages</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hardy-gaussian-uncertainty-principle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hardy-littlewood-maximal-inequality-for-balls</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hardy-littlewood-maximal-operator-characterises-a-p</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hardy-littlewood-sobolev-fractional-integration</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hardy-zero-set-blaschke-condition</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harish-chandra-adjunction-for-finite-gl-n</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harish-chandra-isomorphism-for-the-center</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-and-holomorphic-schwarz-reflection-principles</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-baoab-invariant-law-and-stability-limit</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-conjugate-on-homologically-simply-connected-domains</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-functions-are-real-analytic</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-hardy-one-measure-representation</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-hardy-representation-p-greater-one</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-majorant-characterization-of-plane-subharmonicity</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-measure-conformal-invariance</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-measure-disc-poisson-density</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-measure-is-well-defined</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-measure-maximum-principle-and-domain-comparison</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-oscillator-initial-value-characterization</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harmonic-star-duality-for-line-bundle-valued-dolbeault-cohomology</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harnack-convergence-positive-harmonic-functions</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harnack-convergence-principle-for-plane-harmonic-functions</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harnack-convergence-principle</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-harnack-inequality-for-nonnegative-weak-solutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-harnack-inequality-on-a-disc</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hartogs-extension-across-compact-holes</loc><lastmod>2026-09-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hartogs-figure-extension</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hartogs-separate-holomorphy</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hartogs</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hasse-minkowski-for-ternary-forms-over-q</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hasse-minkowski-over-the-rationals</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hat-heegaard-floer-is-a-closed-three-manifold-invariant</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-completion-of-a-uniform-space</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-dimension-critical-exponent</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-dimension-is-countably-stable</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-iff-net-limits-are-unique</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-iff-the-diagonal-is-closed</loc><lastmod>2026-08-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-mass-distribution-principle</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-measure-has-borel-hulls</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-measure-is-an-outer-measure</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-measure-is-metric-and-borel-measurable</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-measure-under-lipschitz-maps</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-n-measure-is-proportional-to-lebesgue-measure</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-one-measure-is-lebesgue-outer-measure-on-the-line</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-young-for-periodic-fourier-coefficients</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hausdorff-young-for-the-euclidean-fourier-transform</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heat-cauchy-solution-for-bounded-continuous-data</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heat-cauchy-solution-for-lp-data</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heat-kernel-is-the-causal-fundamental-solution</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-heavy-tailed-covariance-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hecke-jucys-murphy-action-is-dominance-triangular</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hedge-static-regret</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-height-one-localisation-of-normal-noetherian-domain-is-dvr</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heine-borel-characterisation-r</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heine-borel-r</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heine-borel-rn</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heine-cantor-metric</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heine-cantor-r</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-heisenberg-uncertainty-inequality</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hellinger-tv-comparison-under-library-convention</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-henkin-closed-term-truth-lemma</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-henstock-kurzweil-cauchy-criterion</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-henstock-kurzweil-integrability-on-subintervals-and-additivity</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hereditarily-symmetric-interpretations-form-a-zf-model</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hereditary-classes-have-a-unique-minimal-forbidden-basis</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hereditary-heart-embeds-in-derived-hall-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-herglotz-spectrum-and-spectral-density</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-hermite-interpolant-double-node-remainder</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-ip-basis-pursuit-exact-recovery-under-nsp</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-boundary-determination-of-scalar-conductivity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-boundary-fixing-diffeomorphism-preserves-dn-map</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-calderon-logarithmic-l2-stability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-can-be-given-perfect-completeness</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-cgo-solvability-and-remainder-bound</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-closed-range-pseudoinverse-stability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-conjugate-gaussian-sequence-contraction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-deterministic-minimax-lower-bound-on-source-balls</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-double-discrepancy-conditional-convergence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-eig-is-joint-relative-entropy</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-eit-fno-noise-robust-existence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-ellipsoid-detection-boundary</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-equals-pspace</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-euclidean-schrodinger-calderon-uniqueness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-exact-mmse-pnp-ista-stationarity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-exact-triangular-transport-disintegrates-to-posterior</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-finite-candidate-information-design-correctness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-finite-element-pde-tikhonov-status-soundness-and-termination</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-finite-linear-gaussian-posterior</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-ip-finite-sign-enumeration-correctness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-flexicast-link-loss-identifiability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-fourier-slice-identity</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-frozen-newton-rate-under-range-invariance</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-function-space-posterior-propriety</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-ip-general-source-minimax-comparison</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-generalized-fno-uniform-approximation-on-compact-sets</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-ip-hellinger-data-stability</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-hilbert-map-extension-with-concave-modulus</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-hilbert-schmidt-operator-admits-square-integrable-kernel</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-ip-joint-regularization-rate-under-range-invariance</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-ip-kernel-directions-preclude-unrestricted-recovery</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-irreducible-brauer-characters-form-a-basis-of-p-regular-class-functions</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-irreducible-complex-characters-form-an-orthonormal-basis-of-the-class-functions</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-irreducible-polynomial-in-positive-characteristic-has-a-unique-separable-core</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-irreducible-polynomials-over-a-field-are-prime</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-irreducible-separable-polynomial-iff-galois-group-transitive</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-isolated-singularity-trichotomy</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-isotopy-extension</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-it-binary-hamming-rate-distortion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-it-cover-leung-feedback-mac-inner-bound</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-it-degradable-channel-single-letter-capacities</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-it-entanglement-assisted-classical-capacity-additive-formula</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-it-exhaustive-global-empirical-quantizer-is-optimal</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-it-fano-inequality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-lebesgue-criterion</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-line-integrals-under-reversal-and-concatenation</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-linear-congruence-solvability-and-solution-count</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linear-elasticity-displacement-wellposedness-and-galerkin-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-linear-elliptic-control-state-and-adjoint-wellposedness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linear-elliptic-reduced-control-gradient-and-hessian</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-linear-gaussian-state-space-path-law-is-jointly-gaussian</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linear-images-scale-jordan-content-by-absolute-determinant</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linear-isoperimetric-characterisation-of-hyperbolic-groups</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-linear-self-correction</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linear-system-map-to-projective-space-is-well-defined</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linearity-of-expectation</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linearity-of-improper-integrals</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linearity-of-the-henstock-kurzweil-integral</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linearity-of-the-integral</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linearity-of-the-lebesgue-integral-on-l-one</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-linfinity-stability-for-the-inhomogeneous-heat-equation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-linking-number-equals-signed-intersection</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linking-number-is-invariant-and-writhe-is-not</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-linucb-regret</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-liouville-arnold-action-angle-theorem</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-liouville-bounded-entire-function</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-liouville-theorem-for-bounded-harmonic-functions</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-liouville-volume-preservation</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-lipschitz-characterisation-within-absolutely-continuous-functions</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-lipschitz-images-of-null-sets-in-rn-are-null</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-littlewood-paley-square-function-equivalence-on-lp</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-littlewood-richardson-schur-product-expansion</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-lmnn-fixed-target-objective-is-convex</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-lob-from-derivability-conditions</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-local-conditioning-times-backward-error-controls-forward-error-to-first-order</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-markov-inequality</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-markov-property-as-past-future-conditional-independence</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-markov-property-for-bounded-future-path-functionals</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-markovs-closed-braid-equivalence-theorem</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-marsden-weinstein-meyer-symplectic-reduction</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-marshall-hall-free-factor-theorem</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-martin-lof-randomness-implies-computable-randomness</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-martingale-central-limit-theorem</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-martingales-and-martingale-differences-correspond</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maschkes-theorem-for-finite-groups-over-fields-whose-characteristic-does-not-divide-the-group-order</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-masked-diffusion-kl-reduces-to-cross-entropy</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-masking-chain-posterior</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matching-continuous-piecewise-polynomials-are-wkp</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matern-interpolation-fill-distance-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mates-under-a-pair-of-adjunctions</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrices-are-similar-iff-their-invariant-factors-agree</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-function-finite-algorithms-termination-and-budget-status</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-function-rational-contour-error-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-multiplication-laws</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-of-a-composite-is-the-product</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-of-the-adjoint-is-the-conjugate-transpose</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-of-transpose-is-the-transposed-matrix</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-perturbation-bound-for-ax-equals-b</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-representation-is-a-vector-space-isomorphism</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-rings-over-division-rings-are-semisimple</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-matrix-tree-theorem</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maurer-cartan-elements-classify-fixed-carrier-codifferential-deformations</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maurer-cartan-structure-equation</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-max-cut-at-least-half-the-edges</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-max-three-sat-has-no-ptas-unless-p-equals-np</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-abelian-subspaces-of-p-are-conjugate-by-k</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-brauer-pairs-detect-defect-groups</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-brauer-pairs-exist-and-are-conjugate</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-diagonalizable-subgroups-of-trigonalizable-groups-are-conjugate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-ergodic-theorem</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-function-characterisations-of-real-hardy-spaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-ideal-space-is-compact-hausdorff</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-ideals-and-characters-of-a-commutative-banach-algebra</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-matching-is-a-two-approximation-for-vertex-cover</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-monotone-resolvent-is-firmly-nonexpansive</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-order-cyclic-subgroup-splits-in-a-finite-abelian-p-group</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-subgroups-of-finite-nilpotent-groups</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-tori-exist-in-compact-lie-groups</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximal-tori-in-smooth-connected-solvable-groups-are-conjugate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-maximum-modulus-principle-with-boundary-and-infinity-control</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-maximum-principle-for-plurisubharmonic-functions</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maximum-principle-with-limsup-control-at-infinity</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-maxwell-edge-fem-smooth-solution-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maxwell-periodic-yee-smooth-solution-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maxwell-yee-cartesian-dispersion-and-cfl</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maxwell-yee-gauss-constraints-propagate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maxwell-yee-midpoint-conductivity-energy-balance</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-maxwell-yee-strict-cfl-modified-energy</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-mayer-vietoris-sequence-in-real-singular-cohomology</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-mayer-vietoris-sequence-in-singular-homology</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-mazur-weak-and-norm-closure-of-convex-sets</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mcdiarmid-bounded-differences</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mcmc-clt-sufficient-regimes</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-mean-and-median-replacement-breakdown</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-mean-field-characteristic-flow-exists-uniquely</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mean-field-characteristics-satisfy-weak-transport-identity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-mean-field-vortex-blob-error-budget</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mean-one-likelihood-ratio-limit-implies-contiguity</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mean-value-inequality-for-total-derivatives</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mean-value-inequality</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-mean-value-property-for-plane-harmonic-functions</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-measurability-of-all-real-sets-equiconsistent-with-an-inaccessible</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-measurable-essentially-bounded-operator-fields-act-decomposably</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-measurable-riemann-mapping-sphere</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-measure-of-set-liminf</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-measure-of-set-limsup</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-measure-preservation-on-a-generating-pi-system</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-measures-on-countable-discrete-spaces-are-weighted-dirac-sums</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-median-influence-function</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-member-equivalence-is-transitive</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-members-modulo-equivalence-correspond-to-subobjects</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-membership-rank-and-hierarchy-levels</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-meromorphic-functions-riemann-sphere-are-rational</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-mertens</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-metric-closure-characterisation</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-metric-compactness-equivalences</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-metric-completeness-implies-geodesic-completeness</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-metric-completion-exists</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-metric-countability-equivalences</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-one-sided-and-two-sided-exactness-by-short-exact-sequences</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-one-sided-ftc-at-points-with-one-sided-limits</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-open-mapping-theorem-for-scalar-holomorphic-functions-in-several-variables</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-open-subsets-of-rn-admit-jordan-exhaustions</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-p-adic-newton-criterion</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-qc-fixed-arity-unitary-error-budget</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-qc-full-column-rank-matrix-image-has-dimension</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-full-rank-pair-no-broadcasting</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-generator-and-parity-check-matrix-existence</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-generic-circuit-count-lower-bound</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-generic-unitary-cnot-lower-bound</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-gottesman-knill-exact-simulation</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-graph-state-unique-stabilizer-ray</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-hadamard-pauli-conjugation</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-hamming-distance-is-a-metric-and-code-distance</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-helstrom-binary-discrimination</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-hermitian-pauli-phase-criterion</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-hermitian-trace-norm-positive-negative-parts</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-ideal-closed-subscheme-correspondence-complete</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-instrument-conditional-state-is-density</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-instrument-induces-povm</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-instrument-kraus-normalization</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-instrument-outcome-law-normalizes</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-isometric-encoding-projector</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-isometry-completion-and-synthesis</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-isometry-partial-trace-is-channel</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-knill-laflamme-explicit-recovery</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-knill-laflamme-necessity</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-kraus-choi-equivalence</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-kraus-map-completely-positive</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-local-stochastic-concatenated-threshold</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-luders-instrument-of-a-povm-is-valid</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-measurement-variation-at-most-trace-distance</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-multicontrolled-ancilla-resource-tradeoff</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-nearest-neighbor-cnot-overhead</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-nonselective-instrument-output-is-density</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-one-control-unitary-two-cnot</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-one-qubit-euler-decomposition</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-optimal-universal-pure-state-cloning-bound</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-oracle-phase-query-cost-boundary</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-output-acceptance-law-normalizes</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-partial-trace-characterization-and-basis-independence</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-partial-trace-positive-and-trace-preserving</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-pattern-branch-probabilities-and-zero-branches</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-pattern-is-measurement-circuit</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-pauli-algebra</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-pauli-commutator-is-symplectic-pairing</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-pauli-product-and-adjoint</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-phase-kickback-from-xor-oracle</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-planar-surface-code-iid-z-memory-bound</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-povm-probabilities-normalize</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-probabilistic-polynomial-time-hierarchy</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-projective-chart-dimension</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-projective-conditional-state</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-projective-measurement-outcome-law</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-proper-code-concatenated-threshold</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-pure-state-no-cloning</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-purification-existence-and-unitary-equivalence</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-purification-minimal-environment-dimension</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-qsd-cnot-upper-bound</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-quantum-distance-detects-low-weight-errors</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-rank-one-density-operator</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-rank-one-reflection-phase-and-control-sign</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-ray-projector-well-defined-and-bijective</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-reflection-unitary-involution</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-reversible-embedding-cost</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-reversible-embedding-parallel-depth</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-reversible-xor-oracle-unitary</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-rz-approximation-correct-on-termination</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-rz-clifford-t-tcount</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-rz-efficient-scaled-grid-enumeration</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-rz-synthesis-up-to-phase</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-schmidt-decomposition</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-sheaf-affine-higher-cohomology-vanishes</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-single-qubit-exact-clifford-t-characterization</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-singular-pair-no-broadcasting</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-solovay-kitaev-bit-complexity</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-solovay-kitaev-error-and-resource-bound</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-square-planar-surface-code-distance-and-path-count</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-stabilizer-distance-detection-and-correction</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-stabilizer-encoder-correctness</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-stabilizer-encoder-terminates-with-quadratic-gate-count</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-stabilizer-logical-pauli-quotient-dimension</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-stabilizer-projector-and-dimension</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-stabilizer-projector-rank-and-code-dimension</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-standalone-global-phase-invariance</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-state-family-no-broadcasting-iff-commuting</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-state-preparation-cost</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-state-preparation-rotation-level-upper-bound</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-subsystem-knill-laflamme</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-symmetric-subspace-dimension-and-haar-moment</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-t1-extended-rectangle-threshold</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tableau-measurement-update</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-teleportation-bell-expansion</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-teleportation-correction-identity</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-teleportation-correctness-and-resource-count</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-teleportation-equiprobable-outcomes</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-teleportation-reference-stability</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tensor-map-composition-and-adjoint</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-terminal-measurement-circuit-equivalence</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-approximate-encoded-two-qubit-gate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-arbitrary-n-register-universality</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-b6-su5-density</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-b6-su8-density</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-block-approximation-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-braid-action-unitary-and-artin</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-f-symbol-unitary</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-fibonacci-single-qubit-density</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-fusion-multiplicity-space-is-hilbert</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-gauge-covariance</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-hexagon-coordinates</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-ising-braids-clifford-only</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-pentagon-coordinates</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-r-symbol-unitary</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-ribbon-link-invariant</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-spectator-extension</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-code-dimension</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-constant-barrier</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-distance</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-gap</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-local-indistinguishability</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-logical-algebra</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-mutual-sign</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-tqc-toric-recovery</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-trace-distance-channel-contractivity</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-trace-distance-range-and-equality</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-trace-norm-duality-and-norm-properties</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-qc-trace-norm-rank-one-formula</loc><lastmod>2026-10-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-stable-clifford-hopf-decomposition-over-sphere-bundles</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-stable-locus-geometric-quotient</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-stable-normal-bundle-is-independent-of-the-embedding</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-standard-induced-resolution-is-exact</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-standard-maclaurin-expansions</loc><lastmod>2026-08-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-standard-polytabloid-basis</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-standard-pure-braids-generate-the-pure-braid-group</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-standard-representatives-modulo-n</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-standard-tableau-monomials-form-a-basis-of-the-highest-weight-fock-submodule</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-translation-to-the-wall-on-verma-simple-and-projective-objects</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-transpose-kernel-range-and-rank</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-transpositions-generate-the-symmetric-group</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-transversality-homotopy-theorem</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-transverse-fibre-product-theorem</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-transverse-preimage-for-manifolds-with-boundary</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-transverse-preimage-theorem</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-tree-characterisations</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-triangle-content-and-base-height-formula</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-triangle-counting-lemma-for-regular-triples</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-triangular-decomposition-from-a-chosen-positive-root-system</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-triangularisation-splitting-criterion</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-triangulations-of-a-convex-polygon-correspond-to-binary-trees</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-trivial-zeros-and-critical-strip</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-truncated-centering-criterion-for-an-iid-weak-law</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-truncated-normal-selective-pivot-is-conditionally-uniform</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-truncation-weak-law-for-independent-arrays</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-tubular-neighbourhood-theorem-in-a-smooth-ambient-manifold</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-turing-degrees-form-an-upper-semilattice</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-twelvefold-way</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-twisted-burau-determinant-formula-under-extension-hypotheses</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-two-element-subsets-count</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-two-finite-generating-sets-of-a-group-give-bilipschitz-equivalent-word-metrics</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-two-metric-spaces-are-quasi-isometric-exactly-when-they-contain-bilipschitz-equivalent-separated-nets</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-two-stage-rosenbrock-scalar-l-stability</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-universal-property-of-the-quotient</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-universal-property-of-the-symmetric-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-universal-property-of-the-tensor-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-universal-property-of-the-universal-enveloping-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-universal-property-of-verma-modules</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-universal-simulation-with-logarithmic-overhead</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unknot-recognition-has-np-certificate</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unknotting-number-at-least-half-levine-tristram-signature</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unlabeled-law-alone-does-not-identify-labels</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unlabelled-unlabelled-placement-counts</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unordered-summability-of-real-families</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unoriented-thom-cohomology-away-from-two-below-2r</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unoriented-zero-dimensional-bordism-is-mod-two</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unparametrized-trajectory-space-is-a-smooth-manifold</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unpivoted-unit-lower-lu-exists-iff-leading-principal-minors-are-nonzero</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unramified-diagonal-open-immersion</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unramified-frobenius-element-exists-uniquely</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unrestarted-gmres-terminates-in-at-most-the-relative-grade-in-exact-arithmetic</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-unshifted-qr-converges-under-separated-moduli-and-leading-minor-hypotheses</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-untwisted-hall-algebra-is-associative-and-unital</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-untwisted-quiver-coha-is-associative-and-unital</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-updated-jacobian-newton-local-quadratic-convergence</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-and-lower-central-characterizations-of-nilpotence</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-and-lower-global-bases-are-dual-and-crystal-compatible</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-boundary-of-the-surgery-trace-is-the-surged-manifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-envelope-theorem-for-plane-subharmonic-functions</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-envelope-theorem-for-plurisubharmonic-functions</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-half-plane-automorphisms-are-real-mobius-maps</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-semicontinuity-fibre-dimension-projective</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upper-semicontinuous-envelope-of-a-locally-bounded-supremum-of-subsolutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upsilon-additivity-mirror-and-genus-bound</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-upward-lowenheim-skolem-with-choice</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-urysohn-lemma</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-v-equals-l-implies-diamond</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-valid-code-reconstructs-the-declared-link-diagram</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-validated-euler-flow-and-monodromy-enclosure-soundness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-validated-periodic-orbit-certificate-soundness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-validated-residual-tube-certificate-sound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-validated-residual-tube-checker-terminates</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-valuation-ring-characterisations</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-valuation-ring-is-integrally-closed</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-valuative-criterion-properness</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-valuative-criterion-separatedness</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-value-iteration-convergence-error-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-van-der-waerden-with-monochromatic-difference</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-van-hove-window-average-l2-consistency</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-van-kampen-lemma</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vandermonde-identity</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vanishing-algebraic-intersection-can-be-realized-by-geometric-disjunction-in-the-simply-connected-stable-range</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vanishing-of-the-primary-obstruction-is-equivalent-to-extension-over-the-next-skeleton</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vanishing-torsion-implies-product-cobordism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vanishing-viscosity-convergence-for-hamilton-jacobi-equations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-variable-step-bdf2-order-two-under-ratio-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-variance-component-identifiability-iff-covariance-map-injective</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-variance-of-a-finite-sum</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-variation-field-of-a-geodesic-variation-is-a-jacobi-field</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-variation-of-constants-formula</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-variational-fem-control-o-h2-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vassiliev-invariant-induces-weight-system</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vc-agnostic-sample-complexity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vc-covering-entropy</loc><lastmod>2026-10-19T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vc-entropy-uniform-convergence</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vc-realizable-sample-complexity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vc-uniform-convergence</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vector-bundle-construction-from-a-smooth-cocycle</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vector-bundles-glued-from-transition-cocycles</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vector-bundles-locally-free-sheaves-equivalence</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vector-fields-form-a-lie-algebra</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-vector-stochastic-order-calculus</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-verma-embedding-for-an-arbitrary-positive-root</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-verma-homomorphism-spaces-have-dimension-at-most-one</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-verma-module-has-a-unique-simple-quotient</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-veronese-pullback-twist</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vertex-cover-reduces-to-set-cover</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vertical-egfs-for-the-stirling-triangles</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vertices-of-modules-in-a-block-lie-in-a-defect-group</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vieta-expansion-in-elementary-symmetric-polynomials</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-viete-product-for-pi</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-viscous-scalar-cauchy-problem-with-smooth-data-has-a-global-classical-solution</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vitali-convergence-theorem-on-finite-and-sigma-finite-measure-spaces</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-vitali-porter-convergence-theorem</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vitali-sets-exist-under-choice-on-r-over-q</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-volume-product-integration-solution-and-far-field-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-volume-scattering-radial-partial-wave-boundary-problem</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/thm-von-mangoldt-explicit-formula-smoothed</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-von-mangoldt-explicit-formula-truncated</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-von-mangoldt-logarithmic-derivative-zeta</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-von-neumann-mean-ergodic-theorem-in-l-two</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-von-neumann-self-adjoint-extension-parameterization</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-vust-double-centralizer-for-the-type-a-nilpotent-centralizer</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-w-one-infinity-functions-have-lipschitz-representatives</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/thm-w1-dobrushin-stability-with-force-defect</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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