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<url><loc>https://alphabetamath.cc/item/cex-schwarz-lantern-polyhedral-areas-diverge</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-self-adjointness-cannot-be-dropped-from-the-order-calculus</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-the-quotient-of-a-tree-can-have-cycles</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-the-standard-contact-plane-field-is-not-integrable</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-the-underlying-bar-contraction-is-not-equivariant</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-the-underlying-quotient-graph-does-not-determine-the-group</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-the-unit-interval-indicator-has-nonintegrable-maximal-function</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-the-unitary-dual-need-not-be-hausdorff</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-the-universal-coefficient-splitting-cannot-in-general-be-chosen-naturally</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-the-volume-coordinate-expression-changes-sign-under-a-reflection</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-three-point-outer-measure-has-only-trivial-caratheodory-sets</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-topological-abelian-groups-are-additive-and-not-abelian</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-topologically-not-uniformly-equivalent</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-topologists-sine-curve-connected-not-path-connected</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-torsion-free-abelian-groups-do-not-form-an-abelian-category</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-torsion-free-nilpotent-group-with-torsion-in-abelianization</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-trace-of-products-is-not-cyclic-without-summability</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-transitive-does-not-force-minimal-normal-subgroups-transitive</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-trivial-kernel-does-not-imply-surjective</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-truncated-kernel-loses-boundary-constant-reproduction</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-two-disjoint-nonmeasurable-sets-can-have-a-measurable-union</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-two-equivalent-higher-extensions-with-no-single-isomorphism-of-middle-terms</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-two-formally-distinct-words-that-become-the-same-object</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-two-homogeneous-need-not-be-two-transitive</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-two-l-two-functions-can-have-convolution-outside-l-two</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-two-latin-squares-need-not-be-orthogonal</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-two-monomorphisms-representing-the-same-subobject</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-two-morphisms-agreeing-on-every-member-need-not-be-equal</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-two-noncompatible-atlases-on-the-real-line</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cex-two-nonconjugate-real-cartan-subalgebras</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-two-visits-alias-random-slope-and-residual-variance</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cex-uncorrelated-random-variables-need-not-be-independent</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-complex-differentiability-implies-continuity</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-complex-k-theory-ahss</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-complex-k-theory-of-spheres</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-computed-singular-values-absolute-error-from-backward-stability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-constant-boundary-modulus-forces-zero-or-constancy</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-constant-modulus-holomorphic-function-is-constant</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-constant-step-bdf2-order-two-with-consistent-start</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-continuous-extension-from-a-dense-subset-r</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-continuous-functionals-of-the-scaled-posterior-converge</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-continuous-functions-are-borel-measurable</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-continuous-image-of-an-interval-is-an-interval</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-contrastive-approximate-erm-transfer</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-contravariant-yoneda-lemma</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-convergent-series-are-cesaro-and-abel-summable</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-convex-differentiable-functions-have-continuous-derivatives</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-convex-functions-on-open-convex-sets-are-continuous</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-countable-independent-copies-exist</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-countable-los-vaught-test</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-countable-products-and-g-delta-subspaces-of-polish-spaces-are-polish</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-cyclotomic-ramification-criterion</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-equalizers-are-monic-and-coequalizers-are-epic</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-eulerian-numbers-are-symmetric</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-every-compact-smooth-manifold-admits-an-excellent-morse-function</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-every-continuous-map-between-smooth-manifolds-is-homotopic-to-a-smooth-map</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-every-module-admits-an-injective-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/cor-hamiltonian-path-and-cycle-are-np-complete</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-hhh-is-an-oriented-link-invariant-up-to-overall-trigrading-shift</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-isotropic-minimum-norm-risk-closure-under-edge-gap</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-nilpotent-ideal-pair-is-henselian</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nilpotent-similarity-classified-by-power-ranks</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nilradical-as-intersection-of-primes</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-common-component-projective-plane-intersection-is-zero-dimensional</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-continuous-injection-from-s2-to-r2</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-function-is-continuous-exactly-on-q</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-isolated-holomorphic-singularities-in-several-complex-variables</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-morse-smale-trajectories-for-nonpositive-index-drop</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-nonconstant-map-proper-variety-to-affine-line</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-nontrivial-number-field-has-discriminant-plus-or-minus-one</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-nontrivial-number-field-is-unramified-over-q</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-removable-cycle-length-strip-forces-a-character-zero</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-no-sigma-algebra-is-countably-infinite</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-noether-normalisation-dimension-lower-bound</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-noether-normalisation-module-finiteness</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-noetherian-from-finitely-many-noetherian-quotients</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-noetherian-local-domain-dimension-zero-iff-field</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-noetherian-modules-are-hopfian</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-noetherian-spectrum-has-finitely-many-irreducible-components</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-non-intersecting-monotone-path-pairs-are-counted-by-a-two-by-two-determinant</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonconstant-entire-function-has-dense-image</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonconstant-negative-gradient-trajectories-strictly-decrease-the-function</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonempty-hereditary-class-contains-the-null-graph</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonfactorization-obstructs-sliceness</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonhalting-is-not-recognizable</loc><lastmod>2026-09-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonintegral-entire-order-bounds-canonical-genus</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-noninvertible-elliptic-shifts-form-a-discrete-set-in-the-self-adjoint-case</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonnegative-harmonic-function-with-an-interior-zero-vanishes</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nonnegative-predictable-transforms-preserve-submartingale-gains</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nontrivial-degree-zero-line-bundle-no-sections</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nontrivial-finite-p-group-is-cyclic-iff-generator-rank-one</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-norm-of-a-prime-ideal</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-normal-operator-with-zero-spectrum-is-zero</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-normal-subgroup-induction-irreducibility-criterion</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-normal-subgroups-are-exactly-kernels</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-normal-sylow-subgroup-of-a-normal-subgroup-is-normal</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-normalisation-plane-curve-germ</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-normalised-positive-definite-functions-correspond-to-probability-measures</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-normalized-circle-integral-about-its-centre-is-one</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-normalized-haar-measure-on-a-compact-lie-group</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-normalized-haar-probability-on-a-compact-group</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-normalized-positive-type-functions-correspond-to-pointed-cyclic-representations</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-normed-space-completions-are-uniquely-linearly-isometric</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nowhere-differentiable-functions-are-residual-in-c01</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nowhere-zero-section-forces-the-euler-class-to-vanish</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nowhere-zero-vector-field-forces-zero-euler-characteristic</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nspace-is-closed-under-complement-above-logspace</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-nth-prime-asymptotic</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-null-homotopic-maps-induce-zero-on-homology</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-number-of-labelled-simple-graphs</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-number-of-solutions-to-quadratic-congruence-modulo-prime</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-nyquist-no-aliasing-condition</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-obstacle-complementarity-in-distribution-form</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-odd-partitions-have-product-generating-function</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-of-one-positive</loc><lastmod>2026-07-25T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-one-critical-point-cell-attachment-homotopy-type</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-one-dimensional-and-multidimensional-riemann-agree</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-one-dimensional-brownian-motion-is-recurrent</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-one-dimensional-change-of-variables-with-absolute-derivative</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-orbit-stabilizer-cardinality</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-order-index-discriminant-formula</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-orders-of-decomposition-and-inertia-groups</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-ordinal-exponentiation-well-defined</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/cor-ordinal-multiplication-well-defined</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/cor-polynomial-ring-over-a-field-is-euclidean</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-angular-momentum-as-a-cotangent-lift-hamiltonian</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-angular-momentum-as-the-moment-map-for-rotations-of-a-cotangent-bundle</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-anisotropic-mimetic-flux-on-skew-cell</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-annihilator-colon-ideals-in-a-cyclic-module</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-annihilator-of-a-closed-subgroup-of-euclidean-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-annihilator-of-the-trivial-sl2-module</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-annulus-and-punctured-disc-hyperbolic-covers</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-annulus-harmonic-measure-of-boundary-circles</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-antichain-sealing-in-countable-tree-forcing</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ap-equals-pspace</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-approximate-gradient-residual-distance-certificate</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-approximate-vs-exact-d-optimal-design</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ar-covariance-toeplitz-forecast-solve</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ar1-one-step-and-multistep-forecast</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-arbitrarily-long-runs-of-composites</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-arctangent-generates-a-borel-probability-measure</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-arens-space-is-sequential-not-frechet-urysohn</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-arithmetic-of-q-zeta-five</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-arma-common-factor-cancellation-and-root-classification</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-arnoldi-factorization-by-hand-for-a-three-step-krylov-chain</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-arrow-category-of-set</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-artin-permutation-relation-for-a5</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-artin-rees-intersection</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-artinian-local-ring-henselian</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-artinian-product-of-local-rings</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-artinian-truncated-polynomial-ring</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ascoli-on-a-finite-discrete-domain</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-assignment-randomization-versus-bootstrap</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-associative-algebra-as-a-infinity-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-asymmetric-loss-changes-the-posterior-optimal-action</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-asymptotic-cones-of-lines-and-trees</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-automorphism-group-of-the-cyclic-group-of-order-eight</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-averaging-a-form-for-a-circle-representation</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-babylonian-sqrt-two</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-backward-euler-is-a-stable-but-not-symplectic</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-backward-heat-exists-for-finite-dirichlet-eigenfunction-sums</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-baer-sum-of-two-extensions-of-cyclic-groups</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-bairds-seven-state-star-expected-update</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-balanced-triple-for-the-two-dimensional-quantum-sl-two-module</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-balancing-density-and-size-levels-in-the-carleson-sum</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ball-monomial-norms-and-model-kernels</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-banach-fixed-point-for-square-roots</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-banach-stone-weighted-composition-isometries</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bang-bang-control-is-the-alpha-zero-box-limit</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bartle-sherbert-bounds-for-pi</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-base-three-cylinder-intervals-and-preimages</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-basic-cohen-orbit-name-without-enumeration</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-bass-dimension-of-unitriangular-four-by-four-integers</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-baumgartner-club-shooting-is-proper</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-bayes-formula-for-a-finite-mixture-with-continuous-observation</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bayes-theorem-for-two-urns</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bdi-one-dimensional-dirac-mass-extension</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-beltrami-coefficient-of-an-inverse-map</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-bem-sphere-constant-density</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-benjamini-hochberg-fdr-versus-fwer</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bergman-versus-szego-normalization-on-the-disc</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bernoulli-aep-and-typical-set-count</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bernoulli-count-is-minimal-sufficient</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-bernoulli-likelihood-ratio-and-change-of-measure</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bernoulli-logit-glm-one-step</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-bernoulli-perturbations-preserve-signs</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-bernoulli-score-fisher-information-and-cramer-rao-attainment</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cellular-homology-and-ring-independent-groups-of-complex-projective-space</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cellular-homology-of-a-lens-space</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cellular-homology-of-an-infinite-dimensional-projective-space</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-census-and-certainty-units-under-ht</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-center-and-commutator-subgroup-of-an-abelian-group</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-centered-eight-schools-low-tail-ess-and-thinning</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-central-distortion-in-the-discrete-heisenberg-group</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-central-elements-as-natural-endomorphisms-of-the-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-central-extensions-of-a-cyclic-group</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-certified-ill-conditioned-two-by-two-linear-solve</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cfg-emptiness-and-finiteness-are-decidable</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cfg-to-pda-construction</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cfl-closure-under-union-concatenation-star-and-homomorphism</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cg-a2-and-b2-alcove-shapes-and-corner-data</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cg-a2-discriminant-jacobian-and-top-coinvariant-class</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cg-a3-sortable-subset-and-a-three-element-fiber</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cg-b-tilde-versus-c-tilde-diagrams</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cg-b2-c2-dual-realizations-and-lattices</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cg-cambrian-quotient-of-s3-and-two-orientations</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-change-of-variables-through-an-increasing-absolutely-continuous-map-with-a-positive-measure-flat-set</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-characteristic-functions-of-open-and-closed-sets-are-semicontinuous</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-characteristic-polynomial-and-eigenspaces-of-a-two-by-two-matrix</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-characters-of-z-mod-five-and-their-orthogonality</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-charge-reversal-and-fock-involution-in-a-small-example</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-chart-gluing-recovers-euclidean-lebesgue-measure</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-checking-the-subreciprocal-condition-for-the-loglog-bound</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-checkpointed-reverse-sweep-recomputes-intermediate</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-chemical-langevin-near-empty-poisson-birth</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-chern-class-of-tautological-and-hyperplane-lines-on-complex-projective-space</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-chern-classes-of-a-sum-of-universal-complex-lines</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-chinese-remainder-map-modulo-twelve</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-choice-free-discontinuous-functional-on-c00</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cholesky-factorisation-and-solve</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-choosing-x-for-the-classical-erdos-hajnal-bound</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-closed-subsets-of-the-line-as-zero-sets-and-g-delta-sets</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-contractible-bimodule-complex-induces-zero-functor</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-contrastive-same-class-negative-collision</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cousins-lemma-gives-heine-borel-on-an-interval</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cover-small-chains-for-the-two-arc-cover-of-a-circle</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-covering-the-cube-minus-the-origin-with-n-hyperplanes</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-critical-points-and-values-of-a-height-function-on-a-sphere</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-crossed-homomorphisms-from-a-cyclic-group-are-determined-by-a-generator</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-crossing-coordinate-axes-hypersurface</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-crouzeix-raviart-broken-gradient-norm</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-crouzeix-raviart-one-face-degree-of-freedom</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-crystal-graph-of-b-two-lambda-one</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-csr-duplicates-and-explicit-zero-entry-count</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-ctrl1-bounded-actuator-lqr</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-ctrl1-single-versus-multiple-shooting-two-intervals</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cube-root-extension-has-three-embeddings-and-one-automorphism</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cubic-exact-for-composite-simpson</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cubic-has-an-inflection-point-at-zero</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cubic-observation-is-locally-identifiable-with-zero-jacobian</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cubic-polynomial-large-circle-loop-has-degree-three</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cubic-x-cubed-minus-three-x-plus-one-has-galois-group-a-three</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cubic-x-cubed-minus-two-has-galois-group-s-three</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-curl-and-divergence-encoded-by-the-exterior-derivative</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-currying-for-sets-of-three-variables</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-curvature-and-first-chern-form-of-a-line-bundle</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-curvature-ledger-for-a-two-cell-diagram</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-curvature-of-a-riemannian-product</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-curvature-two-form-of-a-connection-on-a-trivial-plane-bundle</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-curved-double-well-has-a-circular-minimum-energy-path</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cusp-local-ring-not-regular</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cusp-puiseux-y-two-equals-x-five</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cusp-puiseux-y-two-equals-x-three</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cusp-resolution-and-delta-drop</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cuspidal-cubic-normalization-genus</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cut-locus-of-a-point-on-a-flat-circle</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cut-locus-of-a-point-on-a-round-sphere</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cut-locus-on-a-flat-rectangular-torus-from-the-dirichlet-cell</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cutoff-overflow-is-reported-as-lost-mass</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cyclic-amalgamation-with-relation-xm-equals-yn</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cyclic-convolution-via-the-dft</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cyclic-etale-covers-give-geometric-semisimple-weight-zero-monodromy</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cyclic-fixed-point-detection-for-s3</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cyclic-simple-groups-of-prime-order</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cyclic-tensor-coinvariants-of-matrix-bimodules</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-cyclotomic-quartic-has-galois-group-c-four</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cylinder-and-cone-volume-computations</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cylinder-and-mobius-band-as-quotients</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cylinder-gaussian-process-is-not-banach-valued</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-cylindrical-coordinate-jacobian</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-d2-future-null-rays-are-inequivalent</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-darboux-coordinates-for-a-nonconstant-area-form</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-data-dependent-threshold-crossing</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-day-specific-calibration-slope-drift-and-check-standards</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dbar-cutoff-extension-at-a-puncture</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dbar-on-elementary-functions-and-forms</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-de-rham-cohomology-of-a-finite-discrete-manifold</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-de-rham-cohomology-of-a-point</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-de-rham-cohomology-of-euclidean-space</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-de-rham-cohomology-of-punctured-three-space</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-de-rham-cohomology-of-the-circle-from-mayer-vietoris</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-de-rham-cohomology-of-the-two-sphere</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-de-rham-integration-cochain-on-a-smooth-path</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-death-is-not-missingness</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-decidable-iff-language-and-complement-are-recognizable</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-decimal-expansion-nonuniqueness</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deck-groups-of-connected-circle-coverings</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-decomposing-the-square-of-the-two-dimensional-s-three-character</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-decomposition-groups-in-a-tower</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-decomposition-inertia-in-a-quadratic-field</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-decomposition-matrices-of-s3-in-characteristics-two-and-three</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-decomposition-matrix-of-s-three-in-characteristic-two</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dedekind-kummer-in-a-cubic-field</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dedekind-localisation-is-dvr</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-defect-and-brauer-pairs-for-a4-in-characteristic-three</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-defect-one-first-main-theorem-boundary</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-defect-zero-and-p-group-boundaries</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-defiers-break-the-late-ratio</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-definable-subsets-of-omega-are-not-all-subsets</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degenerate-affine-hecke-relations-on-two-tensor-factors</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degenerate-ariki-decomposition-numbers-in-small-rank</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degenerate-asymptotic-distribution-with-rare-outliers</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degenerate-gp-phi-does-not-bound-unknown-scale-local-mass</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degenerate-hard-margin-support-vector</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degenerate-hopf-with-zero-lyapunov-coefficient</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-degenerate-multivariate-gaussian-limit</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-as-intersection-with-a-regular-value</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-d-map-on-a-sphere-has-lefschetz-number-one-plus-minus-d</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-of-a-coordinate-reflection-on-a-sphere</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-of-a-reflection-of-a-sphere</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-of-q-cube-root-two</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-of-q-sqrt-two</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-of-the-antipodal-map-in-low-dimensions</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-of-the-circle-power-map</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-of-z-to-the-m-on-the-circle-from-a-regular-value</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-one-green-pairing-normalization-of-jordan-fock-action</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-one-kostant-classes-correspond-to-simple-reflections</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-order-is-representative-independent</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-reduction-preserves-unsatisfaction</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-degree-zero-invariants-and-coinvariants</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-degree-zero-principal-divisor</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-delayed-entry-predictable-risk-process</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-delete-d-and-subsampling</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-delete-one-jackknife-for-sample-mean</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deleting-a-point-from-a-countably-infinite-set</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deletion-contraction-and-a-minor-model</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deligne-product-of-finite-vector-space-categories</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-delta-one-minus-delta-minus-one-has-the-obvious-hahn-and-jordan-decomposition</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-delta-zero-plus-lebesgue-on-zero-one-splits-into-discrete-and-absolutely-continuous-parts</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dense-equivalent-forcing-presentations</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dense-huber-covariance-model</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dense-jump-integrand-with-dense-nondifferentiability</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-density-and-infinite-mean-of-a-one-sided-hitting-time</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-density-computed-for-a-presheaf-on-a-two-object-category</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-density-inversion-for-a-triangular-characteristic-function</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-density-measure-in-two-overlapping-circle-charts</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-density-measure-on-a-nonorientable-manifold</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-density-mixture-leaves-projector-manifold</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dependent-choice-partial-tuples</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dependent-white-noise-is-not-iid</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-depressed-cubic-discriminant</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-depth-infinity-zero-module-convention</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-depth-lemma-three-inequalities</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-depth-of-a-hypersurface</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-depth-of-a-union-of-planes</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-derivative-of-the-heaviside-function-is-dirac-delta</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-derivative-of-the-nth-root-by-the-inverse-rule</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-derivatives-of-piecewise-smooth-functions-include-jump-deltas</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-derivatives-of-polynomials-computed</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-derived-and-lower-central-series-of-a-filiform-lie-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-derived-hom-of-cyclic-abelian-groups</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-derived-tensor-of-two-cyclic-abelian-groups</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deriving-an-exact-couple-once</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-detection-limit-assumptions-and-left-censoring</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-determinant-as-the-pairing-of-top-exterior-powers</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-determinant-differential-at-an-invertible-and-a-singular-matrix</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-determinant-in-two-ordered-bases</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-determinant-is-a-natural-transformation</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-determinantal-quadric-singularity</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deterministic-dynamical-system-as-a-markov-kernel</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deterministic-integral-construction-of-a-gaussian-process</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deterministic-rewards-importance-weighted-feedback</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-deterministic-statistic-as-dirac-kernel</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-development-stars-form-a-countable-local-base</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dfa-membership-emptiness-finiteness-equivalence-and-containment-are-decidable</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-action-and-addition-of-angular-momenta</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-cartan-subalgebra-and-roots-of-sl-n</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-extraction-on-a-disc-for-montels-theorem</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-fast-slow-system-restricts-explicit-step</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-in-the-two-sphere-has-self-intersection-two</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-inverse-noise-amplification</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-lattice-poor-joint-projection</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-operator-on-ell-p-is-compact-iff-diagonal-tends-to-zero</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-diagonal-ramsey-lower-bound-by-the-union-bound</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-scalar-bounds-miss-offdiagonal-matrix</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-schatten-class-criteria-on-ell-two</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-self-application-machine</loc><lastmod>2026-09-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-spd-preconditioning-improves-the-preconditioned-condition-number</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-stiff-diffusion-with-reaction-etd</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-tensor-has-large-minimal-tt-ranks</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diagonal-trace-class-fredholm-determinant</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diamond-seals-a-maximal-antichain-in-l</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diamond-suslin-ccc-square</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-differentiable-function-with-discontinuous-derivative</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-differentials-dual-numbers</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-differentials-hypersurface</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-differentials-separable-field-extension-zero</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-differentiating-the-laplace-sine-integral-under-the-integral-sign</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-differentiation-on-polynomials-is-unbounded-in-the-supremum-norm</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diffuse-normal-prior-changes-bayes-factor</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-digital-net-power-of-base-size-restriction</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-digital-shift-vs-nested-scramble</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dihedral-actions-of-prime-and-composite-degree</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dihedral-group-of-order-six-is-s-three</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dihedral-groups-are-m-groups</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-diis-singular-gram-fallback</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dilation-action-classical-brst-cohomology</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-dimensions-coordinate-cross-components</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dimer-hessian-vector-bias-noise-tradeoff</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dini-on-the-unit-interval</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirac-comb-and-poisson-summation</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirac-integral-is-evaluation-at-a-point</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirac-laws-converge-weakly-exactly-when-their-points-converge</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirac-measure</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-direct-integral-of-a-constant-hilbert-field</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-direct-integral-of-characters-for-the-regular-representation-of-r</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-direct-sum-decomposition-of-a-semisimple-lie-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-dirichlet-boundary-forcing-strang-order-reduction</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-character-orthogonality-table</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-characters-modulo-eight-and-twelve</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-characters-modulo-three-four-and-five</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-convolution-table-through-twelve</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-density-of-primes-in-a-small-progression</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-energy-with-affine-boundary-data</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-function-is-borel-and-nowhere-continuous</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-function-is-henstock-kurzweil-integrable</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-heat-semigroup-from-the-laplacian</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-hyperbola-lattice-decomposition</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-inverse-infinity-norm-tight-at-n3</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-inverse-recursion</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-kernel-at-zero-and-away-from-zero</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-laplacian-eigenpairs-on-an-interval</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-laplacian-has-uniform-infinity-inverse-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-multinomial-update</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-normal-mixture-compact-scale-hyperprior-and-rate</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-normal-mixture-polynomial-scale-tail-outside-theorem</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-process-alpha-null-observation-fiber</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-process-finite-partition-posterior-and-polya-urn</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-series-abscissa-boundaries</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-square-conforming-p1-eigenvalue-upper-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-dirichlet-test-with-period-three-signs</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-disc-automorphism-swapping-two-points</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-disconnected-knn-graph-blocks-isomap-distances</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-efficient-score-nuisance-projection</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-egorov-for-the-powers-x-to-the-k-on-the-unit-interval</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-eikonal-cones-are-not-classical-at-the-vertex</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-eikonal-equation-as-a-viscosity-equation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-eilenberg-watts-recovers-extension-of-scalars</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-eisenstein-applied-to-the-translate-of-the-seventh-cyclotomic-polynomial</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-eisenstein-proves-a-family-irreducible</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-eisenstein-total-ramification</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elementary-and-hyperelementary-small-groups</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elementary-factorisation-of-an-invertible-matrix</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elementary-jucys-murphy-class-sums-through-s4</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-eliminating-a-stay-put-transition</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elimination-of-useless-symbols</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ell-infinity-is-a-banach-space</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ell-three-framing-anomaly-and-kirby-blowup</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ellipsoid-as-a-regular-level-set</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elliptic-and-hyperbolic-automorphisms</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elliptic-curve-as-nonaffine-algebraic-group</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elliptic-curve-good-and-bad-reduction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elliptic-diffusion-coefficient-sensitivity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-elliptic-points-of-the-modular-group</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-em-finite-mixture-responsibilities</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-em-likelihood-has-two-local-maxima</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-em-support-losing-candidate-violates-finite-kl-condition</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-embedded-component-varies-but-radical-does-not</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-embedding-dimension-versus-dimension-node</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empirical-cost-satisfaction-can-miss-population-violation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empirical-language-model-scaling-law</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empirical-laws-of-a-finite-valued-iid-sample</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empirical-risk-sgd-oracle-is-unbiased</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empirical-state-frequencies-converge-to-stationary-masses</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-affine-algebraic-set-unit-ideal</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-and-single-branch-tree-bodies</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-and-singleton-rsk-boundaries</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-and-unit-koszul-boundaries</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-center-blowup-identity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-cover-empty-space-cohomology</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-diagrams-select-terminal-and-initial-objects</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-divisor-euler-characteristic</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-fibre-tensor-zero-ring</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-incoming-boundary-requires-zero-handles</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-morphism-proper-projective</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-empty-space-unique-sheaf-sections</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-endpoint-sensors-give-a-d-optimal-linear-time-design</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-energy-of-trivial-and-discrete-partitions</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-engels-theorem-on-strictly-upper-triangular-matrices</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-equal-base-rates-admit-constant-calibrated-score</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-equal-color-quiver-flag-correspondence-is-nilhecke</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-equal-group-rewards-zero-advantages</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-equality-cases-as-diagnostics-for-all-comparison-signs</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-equalizer-of-group-homomorphisms</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-equalizers-and-coequalizers-in-set</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-equivalent-adic-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/ex-essential-supremum-precedes-holder-representative-in-de-giorgi-theory</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-etale-covers-of-gm</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-algorithm-on-consecutive-fibonacci-numbers</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-algorithm-worked</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-borel-spaces-are-standard-borel</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-closed-ball-and-sphere-through-the-compactness-chart</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-mirror-descent-is-projected-ogd</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-norm-and-squared-norm-are-convex</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-space-has-zero-curvature</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-spaces-and-open-subsets-as-smooth-manifolds</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euclidean-triangle-has-positive-linear-minsize</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-characteristic-of-a-tensor-product-complex</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-class-of-a-two-term-cone</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-class-of-the-universal-oriented-two-plane</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-euler-discretization-bias-and-path-variance</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-formula-on-a-tree-cycle-and-k-four</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-linear-flow-exact-log-density-update</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-euler-maruyama-superlinear-drift-outside-global-lipschitz-contract</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-euler-product-numerically-approximates-zeta-at-two</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-totient-as-a-mobius-convolution</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-totient-dirichlet-series</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-euler-totient-product-formula-worked</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-euler-vacuum-threshold-boundary</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-evaluation-functional-on-c-of-k</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-evaluation-functionals-and-point-masses</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-even-and-odd-character-theta-kernels</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-event-root-with-derivative-separated-from-zero</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-event-time-observation-likelihoods-and-delayed-entry</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-every-closed-subset-of-the-line-is-a-zero-set</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-every-convex-plane-domain-is-simply-connected</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-every-dfa-is-an-nfa</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-every-divisor-is-a-subgroup-order-in-a-cyclic-group</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-every-star-shaped-plane-domain-is-simply-connected</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ewald-alpha-cutoff-tradeoff</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ewald-mesh-energy-force-consistency</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ewald-neutral-dipole-cell</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ewald-nonneutral-zero-mode-obstruction</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ewald-source-collision-field-singularity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-exact-gaussian-laplace-integral</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-exact-rank-two-skeleton-cur</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-exact-state-with-inexact-log-density-quadrature</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-exact-top-form-with-nonzero-integral-on-a-manifold-with-boundary</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-fp-t-over-fp-tp-is-purely-inseparable-of-degree-p</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-gaussian-ar-one-chain</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-gaussian-barrier-exponential-tilting</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-curvature-of-a-surface-of-revolution</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-data-remain-gaussian-under-heat-flow</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-factor-rotation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-hypercube-assouad-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-integral-on-infinite-line-by-tanh-sinh</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-kernel-pointwise-bias-variance</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-location-kl</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-maximum-concentration</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-mixture-likelihood-unbounded-under-covariance-collapse</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-mixture-likelihood-unbounded</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-monte-carlo-integrand</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-point-mass-endpoint-coupling-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-point-mass-score-lipschitz-blows-up-at-zero</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-prior-to-data-conditional-interpolation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-process-extrapolation-retains-independent-index-uncertainty</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-product-prior-satisfies-weak-bvm</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-radial-kernel</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-rangefinder-exact-on-rank-k-matrices</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-regression-mean-and-prediction-intervals</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-reparameterization-and-score-gradient</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-robust-risk-dimension-radius-scaling</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-shift-lan-and-regular-sample-mean</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-synthetic-likelihood-for-bernoulli-summary-law</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-two-node-nystrom-exact-separable-equation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-two-point-le-cam-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussian-two-point-mixture-smoothing-density</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gaussians-and-polynomials-times-gaussians-are-schwartz</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gcd-and-lcm-as-subgroups-of-z</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gcd-with-zero</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gcv-under-smoothing-tie-on-one-observation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gelfand-kolmogorov-recovers-beta-x-not-x</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gelfand-transform-of-ell-one-of-z</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gelfand-transform-of-l-one-of-an-lca-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-general-and-special-linear-lie-groups</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-generalized-dihedral-group-of-the-klein-four-group</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-generalized-em-increases-q-without-maximizing</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-generalized-pell-bounded-representatives</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-generalized-pell-orbits-for-six</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-generative-lda-and-logistic-share-a-boundary</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-generator-rank-of-upper-unitriangular-groups</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-generic-affine-hyperplanes-meet-an-embedded-submanifold-transversely</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-generic-and-exceptional-height-directions-on-a-torus</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-genus-one-rr-degree-positive</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-genus-two-cocompact-fuchsian-quotient</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-genus-two-orientable-surface-polygonal-schema</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-genus-zero-conic-with-rational-point</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geodesic-flow-as-a-hamiltonian-flow-on-the-cotangent-bundle</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geodesics-in-the-poincare-upper-half-plane</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geodesics-of-a-riemannian-product</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometric-brownian-milstein-update</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometric-function-taylor-remainder</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometric-power-series-and-an-interior-reexpansion</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometric-sequences-all-real-ratios</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometric-series-computed</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometric-series-reexpanded-about-an-arbitrary-complex-point</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometric-two-strand-braids-are-integer-twists</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-geometrically-summable-bernoulli-shift</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-germs-of-continuous-functions</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gershgorin-disks-and-spectrum</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gibbs-chain-invariant-but-reducible</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gin-irrational-self-weight-encoding</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-givens-qr-on-a-sparse-matrix</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gl-one-and-the-trivial-parabolic-boundary</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gl2-quotient-by-diagonal-torus</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-glaisher-bijection-on-an-odd-partition</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-global-dimension-of-a-field-and-of-the-integers</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-global-exact-line-search-on-an-anisotropic-quadratic</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-global-lipschitz-scalar-ornstein-uhlenbeck-well-posedness</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-globally-lipschitz-alignment-model</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-glue-line-bundle-transition-functions</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gm-on-projective-line-with-two-linearizations</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gm-quotient-of-affine-plane</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gmres-on-a-small-nonsymmetric-system</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gns-representation-of-a-one-dimensional-character</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-godbillon-vey-rescaling-calculation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-godel-diagonal-substitution-calculation</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-godunov-fv-captures-burgers-shock-speed</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-godunov-fv-captures-stationary-burgers-shock</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-godunov-fv-monotone-under-cfl</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-going-down-needs-normality</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-golden-ratio-as-a-periodic-continued-fraction</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-good-node-crystal-component-for-equals-three</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-good-node-path-from-empty-to-a-p-restricted-partition</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-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/ex-goursat-triangle-integral-of-z-squared</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gp-regression-noisy-finite-interpolation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gp-regression-rank-one-prior-positive-noise-singular-prediction</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graded-clifford-module-types-in-low-dimensions</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graded-dual-numbers-cartan-polynomial</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gradient-boosting-zero-tree-direction</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gradient-catastrophe-before-shock-formation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gradient-flow-on-the-torus-morse-function</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gradient-theorem-for-a-polynomial-potential</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graham-pollak-for-the-complete-graph-on-four-vertices</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gram-determinant-of-two-vectors</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gram-schmidt-in-c-two</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-gram-schmidt-in-r-three</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graph-as-a-regular-level-set</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graph-closed-polynomial-map-scheme</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graph-harmonic-path-interpolation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graph-harmonic-unanchored-component-status</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graph-nonisomorphism-is-in-ip</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graph-of-finite-groups-giving-a-virtually-free-group</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graph-polynomial-map-closed-subscheme</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graphical-lasso-penalty-sparsity-threshold</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-graphs-of-exact-and-closed-one-forms-as-lagrangians</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-grassmannian-boundary-r-zero-n</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-grassmannian-lines-in-projective-three-space</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-grassmannians-and-flag-manifolds-as-homogeneous-spaces</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-grassmannians-as-maximal-parabolic-quotients</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-grassmannians-from-unitary-symplectic-reduction</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-great-circles-as-round-sphere-geodesics</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-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/ex-green-correspondence-for-a-trivial-intersection-subgroup</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-hyperbolic-space-is-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/ex-hyperelliptic-curve-double-cover</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-hyperelliptic-double-cover-ramification</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-hypergeometric-branch-cut-domain</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-hyperparameter-uncertainty-can-induce-group-dependence</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-hyperspherical-coordinate-jacobian</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-hypersurface-regularity-at-a-rational-point</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-hypersurface-structure-sheaf-cohomology</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ica-sign-permutation-ambiguity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-identifiable-nonlinear-additive-noise-model</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-identity-link-bernoulli-boundary</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-iid-and-markov-source-entropy-rates</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-iid-functional-data-block-bootstrap</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-iid-sequence-with-a-prescribed-law</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-iid-sequences-as-markov-chains-with-state-independent-kernel</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ill-conditioned-design-stability-versus-forward-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ilu0-tridiagonal-factorization</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-immersing-the-circle-in-the-plane-from-a-formal-line-monomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-implicit-linear-solve-adjoint</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-implicit-restart-shift-can-suppress-wanted-component</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-implicit-stiff-decay-parameter-fit</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-importance-sampling-finite-mean-infinite-second-moment</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-importance-sampling-needs-target-support</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-imprimitive-wreath-product-block-system</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-imprimitivity-for-a-finite-transitive-g-set</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-improper-beta-zero-zero-endpoint-divergence</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-improper-flat-prior-arbitrary-evidence-scale</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-improper-substitution-reciprocal</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-incidence-model-of-a-closed-interval</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-incomparability-in-a-quadratic-integral-extension</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-incomplete-ci-trial-energy-exceeds-finite-ground-energy</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-inconsistent-system-detected-by-a-pivot</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-indefinite-trust-region-boundary-minimizer</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-independent-but-not-identically-distributed-coordinate-sequence</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-independent-events-that-are-not-disjoint</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-independent-gaussian-increments-subgaussian-mixture-confidence-sequence</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-independent-groups-weighted-mean-limit</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-independent-pilot-control-variate</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-independent-uniform-repeated-peeking-inflates-global-null-error</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-form-in-constant-curvature</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-obstructs-naive-polynomial-factorization</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-of-the-boundary-cycle-of-a-round-annulus</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-of-the-trivial-subgroups</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-one-circuit-consistent-initialization-and-be-step</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-table-modulo-seventeen</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-three-pendulum-by-differentiation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-two-dae-algebraic-residual-does-not-control-state</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-index-two-maximum-fails-the-index-one-certificate</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-indicator-functions-are-measurable</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-indicator-of-q-is-baire-class-two-not-one</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-indicator-of-the-cantor-set-is-integrable-with-integral-zero</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-indicator-of-the-rationals-has-zero-essential-supremum-but-pointwise-supremum-one</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-indicator-of-the-rationals-is-lebesgue-integrable-with-integral-zero-and-not-riemann-integrable</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-indicator-of-the-unit-interval-convolved-with-itself-is-the-tent-function</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-inducing-a-nontrivial-character-of-a-three-cycle-subgroup-of-s-three-gives-an-irreducible-degree-two-character</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-inexact-newton-forcing-tolerance-cost-and-rate</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-infinite-coin-toss-space</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-infinite-solution-affine-parametrisation</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-infinite-variable-polynomial-ring-is-not-noetherian</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-initial-interval-indicators-are-one-separated-in-l-infinity</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-inner-automorphisms-of-an-abelian-group</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-integers-as-a-commutative-ring</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integers-as-a-noetherian-non-artinian-module</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-integers-modulo-n-as-a-z-module</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integers-under-addition</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-integrable-highest-weight-modules-for-rank-one-gcm</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-closure-cusp-semigroup-affine-domain</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-closure-monomial-curve-t3-t4-t5</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-cohomology-of-real-projective-space-from-uct</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-cohomology-ring-of-a-torus</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-cohomology-ring-of-an-orientable-surface</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-cohomology-ring-of-complex-projective-space</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-elements-subring-computation</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-integral-geometric-layers-for-fourteen-ordered-blocks</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-integral-of-a-deterministic-step-function-against-brownian-motion</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-kronecker-products-for-s3</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-krull-intersection-in-a-local-domain</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kruskal-and-prim-on-a-weighted-graph</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kruzhkov-entropy-inequality-for-a-shock</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kunneth-as-a-two-column-spectral-sequence-over-a-pid</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kunneth-for-two-cyclic-two-term-complexes</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kunneth-over-a-field</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kuratowski-embedding-of-a-finite-metric-space</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kuratowski-fourteen-sets</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kuratowski-ordered-pairs-computed</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-kurosh-decomposition-of-a-subgroup</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-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/ex-l1-and-cq-fractional-relaxation-first-step</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-l1-distance-convention-factor-of-two</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-l1-full-history-cost-and-truncation-bias</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-l2-best-prediction-by-conditional-expectation</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-l2-small-log-density-far-in-hellinger</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-label-shift-identical-input-laws-has-large-joint-error</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lacunary-exponential-sums-belong-to-bmo</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lacunary-factorial-exponent-power-series</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lagrange-in-sym-three</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lagrange-inversion-catalan-coefficients</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lagrange-multiplier-on-an-affine-graph</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lagrange-multipliers-on-the-sphere</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lagrange-multipliers-with-two-constraints</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lah-number-l-four-two</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lambda-definable-iff-partial-recursive</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lan-along-the-inclusion-of-the-rationals-in-the-reals</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lanczos-poorly-aligned-start-vector-delays-the-largest-ritz-value</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lanczos-repeated-top-zero-component-and-invariant-breakdown</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lanczos-ritz-value-is-not-a-norm-certificate</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-landweber-semiconvergence-on-a-compact-diagonal-operator</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-language-concatenation-is-associative</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-laplacian-kernel-of-a-disconnected-graph</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-large-fundamental-pell-solution-for-sixty-one</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-latent-confounding-mimics-anm-direction</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lateral-area-of-a-right-circular-cone</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-latin-square-assignment-is-restricted</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-latitude-and-meridian-intersections-on-the-torus</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-law-of-total-variance</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lax-friedrichs-fv-monotone-under-cfl</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-layered-periodic-effective-tensor</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lazy-chain-is-aperiodic</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lbfgs-memory-dependent-cost</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lc-first-inaccessible-is-not-mahlo</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lc-normal-measure-identity-and-successor</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lc-principal-ultrapower-calculation</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lcg-low-bit-alternation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ldu-factorisation-and-its-unique-diagonal-pivots</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-learned-drift-bias-is-not-solver-error</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-least-absolute-remainders-and-the-even-modulus-tie</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-leaves-of-a-lie-subalgebra-distribution</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lebesgue-measure-as-haar-measure-on-rn</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lebesgue-measure-of-a-linear-image-of-the-unit-cube</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lebesgue-measure-of-intervals-boxes-and-the-rationals</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lebesgue-number-of-a-two-set-cover</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lebesgue-stieltjes-functional-is-represented-by-its-stieltjes-measure</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lefschetz-number-of-the-identity-is-euler-characteristic</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-left-and-right-projective-not-enveloping-projective</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-left-kan-extension-along-a-full-subcategory-inclusion</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-left-preconditioned-residual-can-understate-physical-residual</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-left-projective-bimodule-with-nonexact-tensor</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-left-regular-action-is-free-and-transitive</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-left-shift-powers-converge-in-sot-not-operator-norm</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-legendre-polynomials-from-gram-schmidt</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-legendre-transform-of-a-natural-mechanical-lagrangian</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lehmer-code-and-q-factorial-for-s-four</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-length-and-distance-on-the-circle</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-length-computed-for-a-finite-abelian-group</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-length-intersection-tangent-line-conic</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-length-of-a-truncated-local-module</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-length-of-z-modulo-p-to-the-k</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-leray-hirsch-for-a-trivial-product-bundle</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-level-one-charge-zero-crystal-through-rank-four-at-e-three</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-level-one-e2-hecke-klr-block</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-level-one-fock-node-actions-for-partitions-up-to-three</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-level-one-rank-two-cyclotomic-klr-algebra-at-e-three</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-level-set-foliation-of-a-regular-function</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-leverage-zero-rows-and-high-coherence</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-levi-civita-connection-of-a-conformal-plane-metric</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-levi-form-of-the-unit-ball</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-levy-collapse-of-a-regular-cardinal</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lexicographic-orders-on-products-of-naturals</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lhopital-rational-removable-quotient</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lhs-for-a-split-group-extension</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lie-algebras-of-alpha-p-mu-p-and-gl-n</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lie-derivative-of-an-area-form-and-planar-divergence</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lie-derivative-of-the-euclidean-metric-under-dilations</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lifting-a-primitive-root-through-powers-of-five</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-likelihood-ratio-martingale</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-likelihood-ratio-test-supermartingale</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-likelihood-tilt-can-have-mass-above-one</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-likelihood-tilt-can-have-mass-below-one</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lil-rules-out-a-global-square-root-time-bound</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-limit-at-infinity-of-a-rational-function</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-limit-of-a-polynomial</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-limsup-of-alternating-sequence</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-lindeberg-array-with-no-identically-distributed-row</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-line-bundle-map-conic-veronese</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-line-bundle-projective-line-transition</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-line-conic-two-intersections</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-line-segment-and-polygonal-path-length</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-line-segment-hausdorff-length</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-line-segment-scalar-and-vector-line-integrals</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-and-polynomial-kernels</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-combinations-of-brownian-values-are-gaussian</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-congruence-worked</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-diophantine-equation-solvability</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-elasticity-cantilever-manufactured-shear</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-elasticity-p1-volumetric-locking-fixed-mesh</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-elasticity-rigid-body-stiffness-nullspace</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-electromechanical-multirate-block-cost</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-gaussian-reversible-additive-noise-model</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-gaussian-singular-state-covariance-positive-innovation-covariance</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-gaussian-three-dimensional-variational-analysis</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-linear-regions-do-not-guarantee-learning</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-locally-integrable-density-functional-is-represented-by-g-dlambda</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-matrix-exponential-as-the-lie-group-exponential</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-maximal-abelian-subgroups-of-the-dihedral-group-of-order-eight</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maximal-cohen-macaulay-module</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-maximal-tori-and-weyl-groups-of-u-n-and-su-n</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maximal-torus-and-weyl-group-of-so-three</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maximum-crossing-probability-before-a-fixed-time</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maximum-modulus-bound-for-a-polynomial-on-the-unit-disc</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maximum-modulus-on-the-distinguished-boundary-of-a-bidisc</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maxwell-dielectric-jump-reflection</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maxwell-incompatible-current-gauss-drift</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maxwell-pec-rectangular-cavity-mode</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-maxwell-yee-periodic-plane-wave-dispersion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mayer-vietoris-computation-of-sphere-homology</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mayer-vietoris-computation-of-the-torus-first-homology</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mayer-vietoris-projective-line-cover-preview</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mean-functional-and-sample-mean-influence-curve</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mean-gross-error-path-has-unbounded-sensitivity</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mean-influence-and-replacement-breakdown</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mean-max-aggregation-lose-multiplicity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mean-value-theorem-bounds-the-square-root-increment</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-measurable-coefficients-with-a-holder-regular-weak-solution</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-median-influence-and-replacement-breakdown</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mediator-confounding-invalidates-natural-effects-formula</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-members-of-an-abelian-group-correspond-to-its-subgroups</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-membership-formula-parsing-and-assignment</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-merged-and-unmerged-adapter-forward-pass-agree</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-meridian-trajectories-for-height-on-the-sphere</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mesh-grid-norm-hides-common-space-instability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-method-of-continuity-for-a-constant-coefficient-path</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-metric-independence-of-total-curvature-on-a-deformed-sphere</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-metric-stress-objective-nonconvex</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-metropolis-hastings-proposal-support-failure</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-metropolis-hastings-rejected-self-transition</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mgrit-scalar-diffusion-two-grid-contraction</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-midpoint-collocation-has-two-branches</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-midpoint-order-loss-at-continuous-time-kink</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-midpoint-underintegrated-p2-stiffness-loses-coercivity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minimal-a-infinity-model-and-triple-massey-product</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minimal-generators-local-ring</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minimal-polynomial-of-nested-radical-two-plus-root-three</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minimal-polynomials-of-scalar-diagonal-and-zero-dimensional-endomorphisms</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minimal-resolution-unit-cancellation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minimum-intensity-coupling-reduces-one-step-variance</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minkowski-bound-for-gaussian-integers</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minkowski-two-entry-vectors-equality-and-strict</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minres-on-a-symmetric-indefinite-system</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-minus-log-boundary-distance-is-plurisubharmonic-on-a-half-space</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-missing-treatment-is-not-a-complete-block</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-missingness-mechanisms-and-nonidentification</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mittag-leffler-function-with-double-poles-at-the-integers</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mixed-sign-vorticity-needs-signed-distance</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mixed-signature-full-spin-and-norm-one-spin</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mixture-convexity-not-displacement-convex</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mixture-of-straight-paths-has-nonlinear-marginal-velocity</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ml-estimate-on-a-semicircle</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mlmc-discontinuous-payoff-half-rate</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mlmc-euler-strong-and-weak-cost-regimes</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mlmc-finite-level-telescoping-and-bias</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-ambiguity-in-conformal-welding</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-and-trivial-real-lines-over-the-circle</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-band-as-an-interval-bundle-with-monodromy</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-band-central-leaf-has-reflection-holonomy</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-map-is-conformal-off-its-pole</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-on-a-four-element-chain</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-on-the-boolean-lattice-b3</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-on-the-diamond-poset</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-on-the-divisor-lattice-of-twelve</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-reciprocal-zeta-coefficients</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mobius-transformation-from-three-point-correspondence</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mod-two-cohomology-ring-of-real-projective-space</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mod-two-duality-for-real-projective-space</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mod-two-thom-class-of-the-mobius-line-bundle</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-model-accurate-on-behavior-support</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-model-exploitation-off-support</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-model-jacobi-fields-in-positive-zero-and-negative-curvature</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-modified-pcp-is-undecidable</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-modular-function-of-the-affine-group-of-the-line</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-modular-lambda-biholomorphism-onto-the-slit-plane</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-modular-traces-for-a-cyclic-p-prime-group</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-modules-of-complete-and-edgeless-graphs</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-modules-of-the-four-vertex-path</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-moduli-below-twenty-with-primitive-roots</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-modulus-obstruction-to-quasiconformal-equivalence</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mollification-of-the-absolute-value</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-mollifying-the-unit-interval-indicator-at-two-scales</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-momentum-operator-under-the-fourier-transform</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-monic-resultant-of-two-quadratics</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-monkey-saddle</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-monotone-antithetic-pair</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-monotone-function-discontinuous-exactly-at-the-rationals</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-monotone-lattice-paths-from-the-origin-to-three-two</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morozov-noise-level-underestimate-prevents-crossing</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morphism-projective-line-power-map</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morries-law</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morse-and-cellular-boundaries-for-a-surface-handle-presentation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morse-complex-of-the-circle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morse-complex-of-the-two-sphere</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morse-smale-flow-on-the-circle</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-morse-stability-in-a-tree</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-moser-isotopy-for-area-forms-on-a-compact-surface</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-most-strings-are-incompressible</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-moving-block-bootstrap-small-sample</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-moving-features-versus-fixed-features</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-moving-support-score-estimator-misses-boundary-term</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-moyal-star-product-for-a-constant-poisson-tensor</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multiclass-calibration-notions-differ</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multidimensional-brownian-radial-second-moment</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multilabel-false-negative-risk-control</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multilinearization-preserves-boolean-values</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multimodal-nonconvex-objective</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multimodal-polynomial-spatial-bnb-gap-certificate</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multinomial-versus-residual-resampling</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multiple-residue-root-does-not-lift-uniquely</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multiple-shooting-sensitivity-jacobian</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multiplication-semigroup-and-its-generator</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multiplicity-indexed-anyonic-fusion-path</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multiplicity-two-diagonal-representation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-multivariate-normal-conditioning-singular-state</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-murnaghan-nakayama-for-shape-five-four-four</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-murnaghan-stability-for-alpha-beta-two</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-murphy-cellular-basis-for-h3</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-na-boundary-extension-changes-haar-coefficients</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-na-burgers-godunov-musc-shock</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-na-checkerboard-permeability-contrast</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-na-clenshaw-curtis-integrates-quadratics</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-nonabelian-first-cohomology-of-a-trivial-c-two-action-on-s-three</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-nonconvex-gd-path-lower-bound-with-unbounded-objective</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-nonconvex-riemann-data-can-require-a-composite-rarefaction-shock-wave</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-nondedekind-ideal-not-invertible</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-nondeterministic-polynomial-logarithmic-time-separation</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-nondiscrete-ordered-subgroup-valuation</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-nonergodic-half-rotation-l-two-projection</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-nonfaithful-coset-action-of-z-six</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-nonharmonic-exact-dbar-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/ex-normalized-riemann-map-for-the-upper-half-plane-at-i</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-np-is-contained-in-p-sharpp</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-nufft-clustered-sources-l1-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/ex-null-set-start-fails-total-variation-convergence</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-octonions-are-alternative-but-not-associative</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-odd-cycle-extremal-density</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-odd-roots-of-negative-reals</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-odd-subalgebra-of-gl-1-1-has-exterior-enveloping-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-offline-ope-doubly-robust-correctness-branches</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-offline-ope-exploding-trajectory-weights</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-offline-ope-full-support-and-missing-support</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-offline-ope-weighted-and-clipped-estimators-can-be-biased</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-omega-indexed-bayesian-posterior-r-c-d</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-omega-one-is-not-paracompact</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-omega-plus-omega-is-countable</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-omega-times-two-and-two-times-omega</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-on-policy-one-state-linear-td-is-stable</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-color-quiver-full-flags-need-not-be-semismall</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-corrupted-block-is-rejected-by-the-geometric-median</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimension-shift-along-a-projective-presentation</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimension-shift-along-an-injective-copresentation</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-and-trivial-monomial-boundaries</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-clifford-algebra</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-constant-zero-mode-of-dolbeault-laplacian</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-euler-lagrange-equation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-form-attains-the-lax-milgram-one-over-alpha-bound</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-gaussian-integral-from-tonelli-and-polar-coordinates</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-green-function-on-an-interval</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-impact-restitution-boundaries</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-obstacle-problem-and-contact-set</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-obstacle-reaction-is-supported-on-the-contact-set</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-poisson-coarse-correction-removes-linear-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-poisson-two-grid-uniform-contraction</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-dimensional-wave-from-a-compactly-supported-velocity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-equals-exp-two-pi-i-logarithm-paradox</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-event-exponential-compensator-and-isometry</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-finite-kolmogorov-frequency-block</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-jump-function-generates-a-dirac-mass-at-zero</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-level-overlapping-schwarz-condition-number-growth</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-line-composition-and-disjoint-cycle-decomposition</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-lmnn-projected-step-is-not-convergence</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-mode-car-majorana-and-pauli-matrices</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-mode-schrodinger-weyl-relations</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-nearest-neighbor-has-unit-deletion-instability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-operator-in-two-ordered-bases</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-over-n-null</loc><lastmod>2026-07-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-over-one-minus-z-one-z-two-extends-from-a-hartogs-figure</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-one-over-z-not-polynomially-approximable-on-unit-circle</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-panel-composite-trapezoid-on-square</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-pass-pece-differs-from-implicit-adams-stability</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-planar-graph-two-nonisomorphic-duals</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-plus-omega-and-omega-plus-one</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-plus-one</loc><lastmod>2026-07-25T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-point-compactifications-of-the-line-and-of-the-naturals</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-point-star-discrepancy-center</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-rational-function-has-three-laurent-series</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-rqmc-scramble-vs-independent-replicates</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-sample-unknown-variance-t-interval</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-sheeted-hyperboloid-as-a-regular-surface-of-revolution</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-sided-limits-of-the-sign-function</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-sided-normal-likelihood-ratio-at-boundary</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-state-diameter-convention</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-surgery-on-a-three-manifold-as-framed-knot-surgery</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-variable-bv-algebra-solves-classical-master-equation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-variable-diagonal-koszul-computation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-variable-twisted-bimodule-hochschild-computation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-one-vertex-finite-quiver-hall-integration-is-quantum-dilogarithm</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-online-one-round-replacement</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-open-and-closed-set-functors-and-complement-naturality</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-open-dense-set-indicator-is-a-monotone-l-one-limit-of-riemann-integrable-functions-but-is-not-riemann-integrable</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-open-euclidean-ball-is-polygonally-connected</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-open-immersion-valuative-uniqueness-not-existence</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-open-set-decomposed-into-components</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-opposite-group-is-naturally-isomorphic-to-the-identity-functor</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-oppositely-signed-intersections-of-two-three-manifolds-in-a-simply-connected-six-manifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-orbit-circles-of-rotation-as-a-foliation-away-from-the-origin</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-order-topology</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ordered-bell-versus-bell-at-three</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ordered-elimination-creates-fill</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ordered-mostowski-order-has-empty-support</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ordinal-subtraction-and-division-computed</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ordinary-and-self-normalized-importance-sampling-on-two-point-space</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-orientation-reversal-negates-pontryagin-numbers</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-oscillation-pattern-controls-clopen-membership</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-outer-function-with-prescribed-boundary-modulus</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-outer-product-s32-with-s2</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-outward-radial-field-on-a-disk</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-overdetermined-regression-exact-subspace-sketch</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-overlap-near-linear-dependence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-overlapping-soft-margin-svm-score-and-kkt</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-p-is-contained-in-np-intersection-conp</loc><lastmod>2026-09-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-p-metrics-on-rn</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-p-poly-equals-p-with-polynomial-advice</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-p-sections-and-brauer-subsections-in-a-small-finite-group</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pa36-finite-dimensional-integral-central-character</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pa36-integral-line-bundle-translation</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pac-mdp-discount-factor-dependence</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pairwise-independent-affine-hashing-over-a-prime-field</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-parabolic-curved-domain-linear-geometry-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-parabolic-heat-initial-projection-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-parabolic-induction-as-functions-on-partial-flags</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-parabolic-kl-polynomials-for-s-three-modulo-s-two</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-parabolic-semidiscrete-ritz-error-identity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-paradoxical-decomposition-of-a-free-group</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-parallel-transport-on-the-round-sphere-along-the-equator</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-parallelizable-tori-have-trivial-stable-normal-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/ex-parameter-identifications-in-the-sl2-r-unitary-dual</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pe04-central-versus-upwind-periodic-transport</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pe04-sbp-inflow-sat-energy-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/ex-pe11-repeated-cube-maxwell-cluster</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-perfectly-correlated-inputs-and-shapley-allocation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-periodic-derivative-and-its-unitary-translation-group</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pomdp-two-state-bayes-update</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pomdp-zero-likelihood-observation-is-not-updated</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pontryagin-dual-of-a-finite-cyclic-group</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pontryagin-dual-of-euclidean-space</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pontryagin-dual-of-the-circle-is-the-integers</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pontryagin-forms-from-a-real-connection</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pontryagin-numbers-of-complex-projective-two-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-pontryagin-thom-map-of-the-standard-framed-equator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-position-free-vs-position-encoded-token-order</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-position-operator-on-l-two-of-r</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-convex-function-that-is-not-log-convex</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-derivative-at-zero-with-no-local-monotonicity</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-endpoint-samples-negative-between</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-non-log-convex-solution-of-gamma-functional-equation</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-roots-and-highest-root-of-g-two</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-scalar-curvature-sphere-has-zero-spin-dirac-kernel</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-type-functions-on-a-discrete-group</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-type-gaussian-on-the-real-line</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positive-weighted-volume-on-an-open-interval</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-positivity-failure-nonidentification</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-posterior-credible-interval-need-not-have-nominal-frequency-coverage</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-posterior-median-can-be-nonunique</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-posterior-predictive-mixture-adds-parameter-uncertainty</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-postprocessing-private-noisy-count</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-potts-q-two-three-four-open-chain</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-iteration-on-a-diagonal-matrix-displays-the-eigenvalue-ratio-rate</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-map-riemann-hurwitz</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-map-sends-a-sector-to-a-half-plane</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-maps-on-real-line-mod-integers-are-finite-sheeted-coverings</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-maps-on-the-circle-have-their-exponent-as-degree</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-of-two-real-projective-spaces-do-not-embed-in-two-m-minus-one-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-rangefinder-loses-small-mode-without-qr</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-residues-modulo-seventeen</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-series-expansion-of-a-geometric-quotient-in-two-variables</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-series-expansion-of-an-exponential-of-a-coordinate-sum</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-series-expansion-of-the-coordinate-product-on-a-bidisc</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-set-of-the-naturals-is-uncountable</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-power-weight-a-p-range</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-powers-of-two-form-a-hadamard-lacunary-sequence</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-powerset-is-chain-complete</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-predictable-linear-forecast-empirical-bernstein</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prelu-variance-scale</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-presentation-of-a-finite-cyclic-group</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-presentation-of-the-klein-four-group</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-presentation-of-the-symmetric-group-on-three-letters</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-presentation-of-z-squared</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-prikry-bounded-name-fusion</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prikry-stems-and-direct-extensions</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primary-decomposition-over-q-with-an-irreducible-quadratic</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primary-localisation-kills-a-component</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-primary-obstruction-to-a-nowhere-zero-section-of-a-sphere-fibration</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prime-counting-theta-and-psi-table</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prime-decomposition-in-q-zeta-eight</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-prime-ideal-compactness-tree-for-a-finite-cofinite-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prime-ideals-of-a-node</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prime-number-theorem-in-a-small-progression</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prime-sets-of-a-field-and-the-integers</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prime-spectrum-set-of-a-product-ring</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prime-spectrum-set-of-dual-numbers</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primes-dividing-x-squared-plus-three</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-primes-represented-by-x-squared-plus-two-y-squared</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primitive-ancestors-of-small-characters</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primitive-ideals-of-usl2-at-a-generic-central-character</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primitive-one-forms-on-a-hermitian-two-plane</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primitive-root-modulo-thirteen-by-prime-divisor-tests</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primitive-roots-modulo-seventeen</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-primitive-two-square-representation-criterion</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-principal-curvatures-of-a-round-sphere</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-principal-dirichlet-l-missing-euler-factors</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-product-of-one-minus-one-over-k-is-zero</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-product-ring-coordinate-ideal-and-quotient</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-product-ring-has-zero-divisors</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-product-scalar-topology-is-locally-convex</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-product-with-a-fixed-space-is-a-functor</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-products-and-coproducts-in-set</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-products-in-a-poset-are-infima</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-projecting-a-space-curve-can-create-a-double-point</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projection-from-b-infinity-to-a-highest-weight-crystal</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projection-onto-a-finite-dimensional-subspace-by-a-gram-matrix</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projection-onto-constants-is-the-mean</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-bundle-trivial-rank-r</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-closure-parabola</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-projective-cover-of-the-trivial-module-for-a-p-group</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-covers-in-the-regular-sl2-block</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-dimension-of-a-cyclic-abelian-group</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-projective-line-two-affine-charts</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-linear-action-and-iwasawas-hypotheses</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-nonfree-module-z-two-over-z-six</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-perverse-decomposition-for-projective-space-to-a-point</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-projective-plane-total-curvature-from-a-hemisphere-identification</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-simple-cartan-pairing-in-a-small-cyclotomic-block</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-simple-dual-bases-in-a-degenerate-cyclotomic-block</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-space-valuative-extension</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-projective-versus-simple-grothendieck-classes-in-a-small-block</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-proper-cech-descent-does-not-require-acyclic-fibers</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-proper-image-projective-variety</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-proper-inclusions-in-the-chomsky-hierarchy</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-proper-measurable-subgroups-of-the-line-are-lebesgue-null</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-proper-versus-improper-equivalence-of-forms</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-property-t-for-a-finite-group</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-proportional-and-disproportionate-stratified-allocation</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-proportional-functions-realise-the-equality-case-of-holder</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-prufer-code-and-decoding</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-prufer-p-group-is-artinian-not-noetherian</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-psd-nystrom-residual-is-psd</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-psl-two-seven-and-a-low-rank-coincidence</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pullback-of-the-circle-angular-form-along-a-parametrized-curve</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pullback-of-the-tautological-line-bundle-along-the-antipodal-cover</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-pumping-lemma-for-context-free-languages</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-punctured-disc-versus-finite-annulus-modulus</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-punctured-domains-and-truncated-cones-with-explicit-faces</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-q-sqrt-two-sqrt-three-and-a-primitive-generator</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-q-zeta-three-cuberoot-two-cuberoot-three-is-a-kummer-extension</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-q8-as-a-central-extension-of-c2-times-c2</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-regularized-logistic-finite-sum</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-regulator-of-a-real-quadratic-field</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-reidemeister-schreier-for-a-surface-subgroup</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-reinforce-one-step-bernoulli-mdp</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rejection-sampling-bounded-likelihood-ratio</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rejection-sampling-tail-mismatch-no-finite-envelope</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rejection-sampling-unnormalized-finite-measures</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-algebraic-closure-of-r-in-c</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-error-near-an-airy-zero</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-handle-decomposition-of-a-cylinder</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-height-in-a-quotient</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-homology-of-a-composable-pair-of-stalk-complexes</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-homology-of-a-disk-and-its-boundary</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-homology-of-a-handle-by-excision</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-homology-of-a-map-between-stalk-complexes</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-homology-of-an-interval-and-its-endpoints</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-homotopy-of-a-disk-boundary-pair</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-morse-homology-of-a-single-handle-cobordism</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-norming-in-a-finite-dimensional-space</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-position-of-flags-in-gl3-fq</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-projectivity-detected-by-higmans-criterion</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-separation-of-a-ball-and-an-exterior-point</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relative-smoothing-fixes-the-endpoints-of-a-path</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relativization-alone-cannot-resolve-p-versus-np</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relativizing-to-the-empty-class</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relator-root-versus-proper-power</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relu-and-sigmoid-activations-meet-the-universality-conditions</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relu-kink-does-not-have-classical-ad-gradient</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-relu-tent-map-depth-vs-width</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-removable-nodes-and-row-endpoints</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-reordering-independent-one-handles</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-dependent-copies-no-sampling-gain</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-eigenspace-on-grassmann</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-eigenvalue-subspace-stable-but-eigenvector-choice-unstable</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-eigenvalue-with-full-eigenspace</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-eigenvalue-with-one-dimensional-eigenspace</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-fixed-level-tests-not-anytime-valid</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-interior-root-preserves-bounded-powers</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-knot-de-boor-evaluation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-method-differences-have-random-intercept-covariance</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-pole-produces-a-polynomial-factor</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-repeated-root-polynomial-over-f-two</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-representable-presheaf-on-a-poset</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-residue-evaluates-cos-over-one-plus-x-squared</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-evaluates-int-one-over-one-plus-x-fourth</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-residue-evaluates-sine-over-x-principal-value</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-residue-evaluates-the-gaussian-cosine-integral-by-a-rectangle</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-field-infinite-projective-dimension-singular</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-of-exp-over-z-cubed-by-derivative-formula</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-of-gamma-at-minus-two</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-of-p-over-q-at-a-simple-zero</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-pairing-one-cocycle</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-projective-line</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-residue-translation-on-small-parabolic-o-standards</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-resolution-of-a-surface-singularity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-resolution-three-foldover-and-targeted-followup</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-resource-allocation-barrier-central-path</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-restarted-gmres-versus-full-gmres-on-the-same-system</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-restricted-sets-in-a-complete-bipartite-graph</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-restricted-sets-in-a-union-of-two-cliques</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-restricting-that-degree-two-s-three-character-to-the-three-cycle-subgroup-gives-the-two-nontrivial-linear-characters</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-retarded-delayed-feedback-euler</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-reverse-martingale-and-the-tail-sigma-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-reversion-of-x-over-one-minus-x</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-revised-simplex-degenerate-cycle-prevented-by-bland</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-revised-simplex-ill-conditioned-basis-residual</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-revised-simplex-phase-one-infeasible</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-revised-simplex-primal-dual-trace</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-revised-simplex-unbounded-ray</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-reynolds-operator-splits-the-invariant-inclusion</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ridge-hyperparameter-hypergradient</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ridge-regularisation-filters-a-diagonal-inverse-problem</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-riemann-hurwitz-double-cover</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-riemann-integrable-function-with-dense-nonintegrable-sections</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-riemann-integrable-with-a-prescribed-null-f-sigma-discontinuity-set</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-riemann-stieltjes-substitution</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-riemannian-stiefel-nonconvex-saddle</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-riesz-measure-of-log-modulus-is-zero-divisor</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-rigid-bond-rattle-free-rotor</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ring-of-integers-of-q-sqrt-five</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-rn-as-a-product</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-robertson-reaction-system-newton-work</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-rodls-theorem-with-an-explicit-constant-for-p-three-free-graphs</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-root-groups-and-bruhat-cells-for-sl2</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-root-space-brackets-for-matrix-units</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-root-strings-in-type-a-two</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-root-system-a-one</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-root-systems-a-two-b-two-and-g-two</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-root-systems-b-two-and-c-two-from-matrix-lie-algebras</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-roots-of-unity-in-characteristic-three</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rosenbrock-euler-stiff-decay-and-backward-euler</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rosenbrock-fr-prplus-trace</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rosenbrock-indefinite-hessian-requires-descent-safeguard</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rosenbrock-newton-step-satisfies-strong-wolfe</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rotation-logarithm-branch-cut</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rotations-of-a-square-on-its-vertices</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rotations-of-the-two-sphere-and-their-lefschetz-number</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rounded-cholesky-two-by-two-residual</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rounding-neyman-allocation-to-integer-sample-sizes</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-row-echelon-form-is-not-unique-but-rref-is</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-row-operations-on-a-singular-matrix-over-z-mod-six</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-row-reduction-with-a-unique-solution</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rqmc-replicate-error-estimate</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rqmc-smooth-vs-singular-integrands</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rsk-for-involutions</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rsk-insertion-and-reverse-deletion</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rsk-left-right-and-two-sided-cells-in-s-three</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rsk-shapes-of-all-six-permutations-in-s3</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rt-genus-two-factorization-dimension</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-rudin-initial-top-slice</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-russells-socks</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-five-conjugacy-classes-and-class-equation</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-four-as-the-holomorph-of-the-klein-four-group</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-four-conjugacy-classes-and-class-equation</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-four-has-five-conjugacy-classes-of-sizes-one-six-three-eight-and-six</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-four-statistics-table</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-four-two-computed-by-recurrence-formula-and-listing</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-three-complements-to-a-three-cycle-subgroup-are-conjugate</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-three-cycle-inversion-and-sign-table</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-three-galois-correspondence-for-x-cubed-minus-two</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-three-has-three-irreducible-complex-characters-of-degrees-one-one-and-two</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s-units-of-q</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s3-as-a-frobenius-group</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s3-bruhat-order-and-inversion-sets</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s3-is-split-over-the-rationals</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s4-filter-cost-excludes-training</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s4-scalar-recurrent-and-convolutional-views</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-s5-character-table-by-fixed-tabloid-reconstruction</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-saddle-in-second-order-response-surface</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-same-additive-cohomology-different-rings-cp-three-and-a-wedge</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-same-center-s-orbital-integrals</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-same-characteristic-polynomial-different-minimal-polynomials</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-same-mean-unequal-variance-studentized-permutation-test</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-same-observed-law-different-intervention-law</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-same-sample-control-regression-bias</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-same-sign-smooth-vortex-blob-approximation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sample-covariance-rank-deficiency-when-p-exceeds-n</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sample-covariance-singular-when-sample-size-not-exceeding-dimension</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sample-mean-attains-unrestricted-mean-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sample-variance-delta-method</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sampled-polynomial-inner-product-on-degree-at-most-three</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-samuel-compactification-of-a-compact-hausdorff-space</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-samuel-compactification-of-discrete-naturals-is-beta-n</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-samuel-compactification-of-the-open-unit-interval</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-samuel-reflection-of-a-nonempty-indiscrete-uniform-space</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sbp-inviscid-versus-viscous-entropy-budget</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scaffold-control-correction</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scalar-care-two-stabilizing-branches</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scalar-gaussian-diffusion-chain</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scalar-gaussian-state-space-filter</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scalar-kalman-filter-update</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scalar-line-integral-over-a-unit-semicircle</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scalar-multiplicative-noise-milstein</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scaled-gaussian-parameter-integral</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scaled-modified-bessel-overflow-avoidance</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scaling-distinguishes-sublinear-minsize-from-bounded-perimeter</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scaling-for-the-sobolev-conjugate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scattered-linear-interpolation-over-delaunay-cell</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schanuel-lemma-for-two-presentations-of-a-module</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schauder-scaling-on-a-quadratic-poisson-solution</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scheme-as-algebraic-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-scheme-theoretic-image-dense-open-immersion</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schottky-bound-for-a-map-with-center-value-one-half</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schur-multiplier-of-a-cyclic-group</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schur-multiplier-of-a-finite-abelian-group</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schur-orthogonality-for-a-finite-group-as-a-zero-dimensional-compact-case</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schur-weyl-for-c2-tensor-three</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schur-weyl-for-two-tensor-factors</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schwartz-functions-in-every-bessel-potential-completion</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schwartz-zippel-for-a-bivariate-polynomial</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schwarz-inexact-local-solves-spectral-equivalence-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schwarz-overlap-shrinking-decomposition-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-schwarz-two-level-1d-poisson-coarse-plus-odd-corrections</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-screened-coulomb-blocks-accumulate-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sda-psd-blocks-and-symmetry-defect</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sdc-constant-predictor-too-few-sweeps</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-second-derivative-newtonian-kernels-fit-the-cz-framework</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-second-fraenkel-sock-swap</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-second-main-theorem-with-no-inducing-local-block</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-second-moment-bound-for-a-nonempty-random-subset</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-second-order-delta-method-quadratic</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-second-order-multivariable-taylor-polynomial-computed</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-second-supplement-from-q-zeta-eight</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sectorial-multiplication-operator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sectorial-nonselfadjoint-multiplication-generator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-seed-constant-for-empty-signature</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-segre-p1-times-p1-quadric</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-segre-veronese-bidegree-two-three</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-selecting-an-admissible-contour-height</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-selective-inference-after-choosing-the-larger-of-two-means</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-self-consistent-projector-two-cycle-with-gap</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-self-dual-shift-normalization-for-a-cyclotomic-projective</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-self-intersection-of-the-zero-section-in-an-oriented-plane-bundle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-self-similar-heat-kernel-solution</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-semilagrangian-constant-speed-crosses-many-cells</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-semilagrangian-fixed-grid-time-refinement-keeps-interpolation-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-semilagrangian-pointwise-interpolation-can-change-grid-mass</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-semilinear-characteristics-with-logistic-growth</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-semilocal-dedekind-domain-is-a-pid</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-seminormal-and-orthogonal-block-for-shape-two-one</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-semistandard-tableaux-and-small-kostka-numbers</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separable-bimodule-relative-tensor-over-c2</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separable-grid-tensor-has-tt-rank-one</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separable-hard-margin-svm</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separated-and-nonseparated-initialization</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separated-logistic-sample-has-unattained-supremum</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separating-a-point-from-a-finite-set-in-a-hausdorff-space</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separating-equal-critical-values-by-bump-functions</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separating-prime-for-a-missing-radical-element</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-separation-preservation-table</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sequence-length-and-coordinate-functions-are-primitive-recursive</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sequence-space-and-eventually-zero-subspace</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sequential-fan-is-frechet-urysohn-not-first-countable</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sequential-repetition-amplifies-error</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sequential-uniform-boundedness-for-coordinate-partial-sums</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-serre-duality-on-a-singular-projective-cm-curve</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-serre-duality-on-a-smooth-projective-surface</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-serre-duality-projective-line-twists</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-serre-duality-projective-space-twist-pairing</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-serre-relations-for-a-two-recover-sl-three</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-serre-spectral-sequence-of-the-complex-hopf-fibration</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-serre-spectral-sequence-of-the-quaternionic-hopf-fibration</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-set-arithmetic-isomorphisms-are-natural</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-set-coproducts-as-representing-objects</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-set-partitions-of-four-by-block-count</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-set-partitions-of-four-with-no-singletons</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-set-products-as-representing-objects</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sgd-biased-direction-violates-alignment</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sgd-convex-stability-linear-in-steps</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sgd-nonlipschitz-loss-no-uniform-stability</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sgd-stability-convex-vs-nonconvex-schedules</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shannon-reconstruction-of-a-sinc-function</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shape-regular-and-sliver-triangle-families</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shapiro-lemma-for-the-trivial-subgroup</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shared-brownian-euler-level-coupling-rates</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shared-expression-forward-and-reverse-graph</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shared-funnel-region-missed-by-all-chains</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shared-weight-neural-backpropagation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sharpness-of-nevanlinna-q-minus-two</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sheaf-continuous-real-functions</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sheaf-locally-constant-functions</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shift-operators-on-classical-sequence-spaces</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shift-removes-a-negative-zero-order-obstruction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shifted-inverse-iteration-targets-a-nondominant-eigenvalue</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shifting-a-three-term-complex-with-all-signs</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shifting-trick-for-a-nonzero-coadjoint-orbit</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shoenfield-limit-lemma</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-short-run-contrastive-divergence-bias</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-short-versus-long-model-rollouts</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-shortest-acceptance-and-clocked-all-branch-halting</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sierpinski-and-particular-point-spaces</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sierpinski-gasket-dimension-by-hand</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sierpinski-space-is-normal-and-not-completely-regular</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sierpinski-space-is-t0-normal-and-not-regular</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sigma-compactness-and-lindelof-in-the-line-and-the-rationals</loc><lastmod>2026-08-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sigma-of-a-two-step-simple-function</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sigma-of-an-indicator-function</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sigma-one-sets-are-exactly-ce-sets</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sigma-simple-lattice-zero</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-sign-cancellation-in-an-a2-bruhat-diamond</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sign-local-system-on-real-projective-space</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sign-twist-conjugates-the-s31-character</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-signature-and-p-one-of-complex-projective-two-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-signature-is-multiplicative-on-products-of-projective-spaces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-signature-of-s-two-times-s-two-is-zero</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-signed-points-give-the-oriented-zero-bordism-invariant</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-signed-two-direction-multiedge-quiver-flag-crossing</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-signorini-contact-patch-test</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-signorini-one-dimensional-obstacle-free-boundary</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-signs-of-five-and-six-cycles</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simclr-projection-head-reported-results</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simple-diagonal-action</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simple-nonnormal-eigenvalue-derivative-uses-left-and-right-eigenvectors</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simple-pendulum-phase-portrait</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-simple-root-and-factor-hensel-same-lift</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simple-root-string-in-an-integrable-kac-moody-module</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simple-roots-and-fundamental-weights-of-a-n</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simple-unit-circle-roots-give-bounded-oscillation</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simplicial-homology-of-a-point-and-an-edge</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simplicial-homology-of-the-tetrahedron-boundary</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simply-connected-adjoint-and-intermediate-forms-of-a-semisimple-compact-group</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simply-connected-h-cobordisms-have-zero-whitehead-obstruction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simultaneous-diagonalisation-of-two-commuting-matrices</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simultaneous-guards-require-deterministic-priority</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-simultaneous-handles-at-a-repeated-critical-value</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-density-on-zero-to-two-pi-exhibits-the-nonuniqueness-of-hahn-decompositions</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-harmonic-series-pointwise-not-uniform</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-harmonics-pointwise-bounded-without-uniform-subsequence</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-minus-z-zero-of-order-three</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-modes-decay-under-dirichlet-heat-flow</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-of-xy-and-its-mixed-partials</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-over-x-has-a-noncompact-henstock-kurzweil-integral</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-period-arc-length-as-a-complete-elliptic-integral</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-product-family-is-not-equicontinuous</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-product-recovers-the-basel-sum</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sine-sends-a-half-strip-to-the-upper-half-plane</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-single-new-knot-insertion-preserves-linear-curve</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-single-particle-initialization-does-not-separate</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-single-point-conformal-removability</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-single-site-gibbs-reducible-on-disconnected-support</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singleton-block-families-have-egf-exp-x</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singleton-rank-and-hereditary-size</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singletons-define-a-natural-transformation-to-the-power-set-functor</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-a-dare-infinite-pencil-eigenvalue</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-b-yields-an-infinite-generalized-eigenvalue</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-chain-complex-of-a-point</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-cohomology-of-a-point-from-the-cochain-complex</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-covariance-simple-kriging</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-cubic-degeneration</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-data-score-truncation</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-data-support-limitation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-fisher-information-nonunique-irls</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-forecast-covariance-outside-rts-domain</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-gaussian-process-prior-and-predictive-covariances</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-hessian-nonisolated-inner-minimum</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-history-covariance-unique-predictor-class</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-initial-law-at-sde-endpoint</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-inner-function-from-a-point-mass</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-line-law-has-smooth-positive-time-density</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-local-lle-covariance</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-mahalanobis-metric-identifies-distinct-points</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-projection-has-zero-determinant</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singular-value-decomposition-of-a-two-by-three-matrix</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-singularities-at-infinity-for-polynomials-and-reciprocals</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sipdg-broken-function-is-not-h1</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sipdg-one-dimensional-interior-jump</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sipdg-small-penalty-loses-coercivity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sir-zero-particle-prefix-positive-event</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-skew-hermitian-imaginary-time-unitary-step</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-skewed-finite-replicate-student-coverage</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-skolems-construction-gives-the-fano-plane</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-skyscraper-coherent-closed-point</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-skyscraper-set-sheaf-stalks</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-skyscraper-sheaf-acyclic</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-skyscraper-sheaf-exact-sequence</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-casimir-and-its-highest-weight-eigenvalue</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-flag-variety-line-bundles</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-kostant-harmonic-decomposition</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-level-one-sugawara-central-charge</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-level-zero-trivial-sugawara</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-reducible-and-generic-verma-modules</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-shapovalov-norm-product</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-small-quantum-group-at-fifth-root</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-verma-action-in-the-pbw-basis</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl2-verma-embedding-chain</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl3-harish-chandra-center-generators</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sl3-two-minimal-parabolic-projections</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-slicing-a-regular-pair-with-explicit-parameters</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-slit-plane-green-function-from-square-root</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-slow-singular-tail-rangefinder-error-term</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-small-fill-distance-can-have-poor-rbf-conditioning</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-small-gradient-can-hide-error-at-ill-conditioned-minimizer</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-small-margin-sample-does-not-fix-population-error</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-small-norm-volume-scatterer-born-truncation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-small-semidefinite-relaxation-primal-dual-certificate</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-small-t-upward-boys-cancellation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smc-bounded-weights-with-mixing</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smc-dominant-weight-and-ess</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smc-fixed-horizon-clt-does-not-give-time-uniform-accuracy</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smc-multinomial-ancestry-collapse</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smith-normal-form-of-an-explicit-integer-matrix</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smith-volterra-cantor-set-has-lebesgue-measure-one-half</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smn-parameter-theorem</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smn-specializes-a-two-argument-index</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smolyak-diagonal-ridge-breaks-mixed-regularity</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smolyak-four-dimensional-product-integrand</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smolyak-signed-weights-polynomial-chaos-coefficient</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-affine-conic-as-punctured-plane</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-compactly-supported-bump</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-conic-is-projective-line-with-point</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-dependence-in-an-ode-with-a-parameter</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-finite-hk-integrand-koksma-hlawka</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-smooth-nonanalytic-transport-data-give-a-smooth-nonanalytic-solution</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-quadric-hypersurface</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-scattered-surface-matern-rate</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smooth-singular-simplices-in-a-coordinate-ball</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smoothed-versus-sharp-explicit-formula</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smoothing-a-continuous-circle-valued-map-through-an-annular-retraction</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-smoothing-a-piecewise-linear-real-valued-function-relative-to-a-closed-set</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-snowflake-quasicircle</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-sobolev-weight-on-a-single-dyadic-annulus</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-sod-tube-pressure-root</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-solovay-collapse-factorization-around-a-real-parameter</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-solver-tolerance-can-reverse-a-design-ranking</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-some-turing-reductions-are-not-truth-table-reductions</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sor-iteration-for-a-positive-definite-matrix-with-omega-in-zero-two</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-spanning-trees-of-k-four</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sparse-gap-sequence-is-hyperrectangular-but-undercovered</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-sparse-gaussian-sequence-fano-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sparse-pinn-collocation-aliases-residual</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sparse-spikes-ftc-conclusion-at-a-discontinuity</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spd-quadratic-nonlinear-cg-matches-linear-cg</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spd-square-root-and-polar-factor</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-specht-form-rank-for-shape-two-two-in-small-characteristics</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-specht-modules-of-s3</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-special-linear-as-a-closed-lie-subgroup-of-general-linear</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-specialisation-poset-of-a-small-spectrum</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-specialization-generic-kills-a-tree</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-specializing-a-quantum-highest-weight-lattice-at-q-one</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-specializing-burau-at-t-equals-one-recovers-permutation-data</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectral-projection-of-an-isolated-eigenvalue-agrees-with-the-riesz-projection</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-field-one-point</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-in-a-finite-dimensional-matrix-algebra</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-integers-generic-and-closed-points</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-of-a-multiplication-operator</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-of-a-zero-ring-empty</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-of-k-three-three</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-of-the-unilateral-shift</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-product-ring-disjoint-union</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spectrum-zero-ring-empty</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sphere-and-hemisphere-surface-integrals</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sphere-as-a-regular-level-set</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-sphere-polygonal-schema</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spheres-as-so-n-plus-one-mod-so-n</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spherical-coordinate-jacobian</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spherical-geodesic-triangle-area-excess</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spherical-pendulum-monodromy-obstructs-global-action-angle-coordinates</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-splicing-two-short-exact-sequences</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-spline-training-risk-can-differ-from-independent-test-risk</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-split-conformal-conservative-ties</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-split-even-clifford-algebra-gives-two-spin-modules</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-su-two-and-so-three-have-isomorphic-real-lie-algebras-locally-but-different-global-groups</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-subset-construction-can-require-exponentially-many-states</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-subset-construction-for-an-epsilon-nfa</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-subtractive-kalman-update-loses-positive-semidefiniteness</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-successive-p-layers-read-a-cyclic-decomposition</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-three-cell-grid-suppresses-continuous-turing-mode</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-threshold-class-is-glivenko-cantelli</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-tied-jumps-produce-nonzero-cross-bracket</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-tightness-times-smallness-and-root-n-rate</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-tikhonov-bias-noise-tradeoff</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-tikhonov-normal-equation-residual-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-time-bounds-imply-space-bounds</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-time-changed-quadratic-variation-of-an-ito-integral</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-time-dependent-pullback-differentiation-for-a-translation</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-time-diagonal-language-respects-its-budget</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-todd-coxeter-as-a-partial-coset-enumeration-procedure</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-topological-generation-in-zp-squared</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-toponogov-comparison-on-a-round-sphere</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-tor-of-two-cyclic-groups-from-a-two-term-resolution</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-tor-term-in-the-homology-of-a-product-of-real-projective-spaces</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-torus-as-a-quotient-of-the-square</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-total-stiefel-whitney-class-of-a-sum-of-universal-lines</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-trivial-principal-bundle-corresponds-to-a-nullhomotopic-classifying-map</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-truncated-centering-weak-law-with-infinite-mean</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-truncated-polynomial-weyl-module-in-characteristic-p</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-truncated-svd-denoising-on-a-diagonal-problem</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-truncated-versus-full-nevanlinna-counting</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-truncation-iteration-for-a-recursive-specification</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-truncation-projectivity-does-not-mean-block-projectivity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-turan-ramsey-colouring-witness</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-ula-and-baoab-have-distinct-harmonic-variance-bias</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-ula-gaussian-target-stationary-bias</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-ultrafilter-selects-a-cell-of-a-finite-partition</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unbalanced-full-factorial-loses-orthogonality</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unbounded-covariate-shift-weights</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-uncertain-linear-matrix-family-contains-singular-member</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-uncountable-cantor-cube-uniformizable-not-first-countable</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uncountable-delta-system-with-one-point-root</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uncountable-discrete-space-meets-bing-not-urysohn</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-underdetermined-linear-system-gd-minimum-norm</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-undiscounted-single-state-mdp-diverges</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unequal-assignment-sharp-null-randomization</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unequal-dimensional-proper-pushforwards-have-the-summed-dimension-ext-bm-shift</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unequal-iterated-improper-integrals-on-the-unit-square</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unequal-weighted-two-sided-randomization-test-with-ties</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-uniform-law-has-infinite-self-information-entropy</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-uniform-maximum-pivot-confidence-interval</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uniform-mesh-linear-spline-approximation</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-uniform-random-variable-on-zero-one</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uniform-step-bdf2-satisfies-dahlquist-conditions</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uniformisers-and-dvr-ideal-arithmetic</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uniformly-ergodic-adaptive-mcmc-family</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uniformly-ergodic-chains-can-mix-arbitrarily-slowly</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-uniformly-translated-lattice-palm-and-multiplicities</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-unitary-dual-and-full-group-c-star-algebra-of-the-integers</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unitary-induction-for-a-finite-group-recovers-the-counting-model</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-unitization-corresponds-to-one-point-compactification</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unitization-of-a-nonunital-banach-algebra</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unitriangular-global-basis-elements-in-small-rank</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unitriangular-group-of-order-p-cubed-is-an-m-group</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-units-in-a-real-cubic-field</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-units-of-q-and-imaginary-quadratic-fields</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-universal-hyperplanes-lower-the-defect-for-projective-space-to-a-point</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-universal-thom-class-steenrod-operation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-unlabeled-law-two-point-lower-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-unreduced-and-reduced-burau-matrices-for-b-three</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unrestarted-and-restarted-gmres-on-a-diagonal-system</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unshifted-and-shifted-qr-steps-on-a-symmetric-matrix</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-unstable-baoab-step-has-no-invariant-law</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-unstable-heavy-ball-parameters</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-upper-and-lower-central-series-of-the-dihedral-group-of-order-eight</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-upper-triangular-matrices-form-a-solvable-nonnilpotent-lie-algebra</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-usual-metric-uniformity-on-r</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-v-and-w-cycle-costs-in-two-dimensions</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-v-shaped-path-is-rectifiable-but-not-c1</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-value-iteration-attains-error-rate</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-van-der-pol-stability-conditional-on-validated-enclosure</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-vandermonde-checked-numerically</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-vanishing-viscosity-selects-the-hamilton-jacobi-solution</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-variable-coefficient-flux-and-expanded-stencils</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-variance-of-dyadic-quadratic-variation</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-variational-candidate-outside-posterior-support</loc><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-vector-measure-induced-by-an-l-one-function</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-vector-spaces-over-a-field-as-an-abelian-category</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-verma-modules-for-sl-two</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-veronese-linear-system-on-the-riemann-sphere</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-viete-first-nested-radical-approximants</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-vogan-diagrams-for-real-forms-of-sl-three-c</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-volterra-operator-is-hilbert-schmidt-and-quasinilpotent</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-volterra-square-has-zero-trace</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-volume-growth-in-euclidean-and-hyperbolic-space</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/ex-volume-of-a-solid-of-revolution-by-cylindrical-shells</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/ex-wedge-products-of-the-standard-dual-basis</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-an-infinite-coproduct-of-complexes-has-homology-equal-to-the-coproduct-of-their-homologies-in-every-abelian-category</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-birkhoff-ergodic-theorem-holds-for-every-measurable-function</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-cones-form-a-functor-in-every-triangulated-category</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-continuity-of-the-derivative-implies-constant-rank</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-continuous-dependence-alone-implies-differentiable-dependence</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-continuous-image-of-a-closed-set-is-closed</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-continuous-images-of-lebesgue-measurable-subsets-of-r-are-lebesgue-measurable</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-continuous-preimages-of-lebesgue-measurable-subsets-of-r-are-lebesgue-measurable</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-convolution-is-measurable-for-every-lebesgue-representative</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-countable-intersections-of-clubs-are-always-club</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-countable-unions-of-countable-sets-are-countable-in-zf</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-countably-compact-implies-compact</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-countably-infinite-sigma-algebras-exist</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-curvature-is-obtained-by-commuting-two-covariant-derivatives-without-a-bracket-correction</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-curve-velocities-in-two-charts-have-the-same-coordinate-tuple</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-cut-has-greatest</loc><lastmod>2026-07-25T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-cycle-index-determines-the-abstract-group</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-cyk-needs-no-normal-form-preprocessing</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-darboux-theorem-makes-all-symplectic-manifolds-globally-symplectomorphic</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-decomposition-into-irreducible-subrepresentations-is-unique</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-degree-sequence-determines-a-simple-graph</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-dehn-reduction-is-the-same-as-free-reduction</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-diagonalization-needs-literal-source-self-reading</loc><lastmod>2026-09-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-dinatural-transformations-compose</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-direct-sum-and-product-totalisations-are-always-isomorphic</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-e-r-plus-one-is-literally-equal-to-the-homology-of-e-r</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-ergodicity-forces-only-empty-and-full-invariant-sets</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-euler-characteristic-is-defined-by-choosing-any-triangulation-without-proving-independence</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-every-abelian-category-has-enough-projectives-and-enough-injectives</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-abelian-category-is-equivalent-to-a-category-of-modules</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-every-braided-monoidal-category-is-equivalent-to-a-strict-commutative-one</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-bull-free-graph-is-perfect</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-cartesian-closed-category-is-locally-cartesian-closed</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-category-is-locally-small</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-central-extension-is-a-stem-extension</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-closed-c1-field-on-a-connected-open-set-is-exact</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-closed-differential-form-is-globally-exact</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-comb-has-pairwise-anticomplete-blocks</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-compact-path-connected-planar-set-has-a-universal-cover</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-compact-solid-has-a-volume</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-complex-class-function-with-self-inner-product-one-is-a-character</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-complex-linear-operator-descends-to-every-chosen-real-form</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-complex-of-projectives-is-homotopically-projective</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-every-conservative-right-adjoint-is-monadic</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-constant-dimensional-family-of-tangent-subspaces-is-a-smooth-distribution</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-continuous-complex-function-on-a-domain-has-a-primitive</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-continuous-function-is-differentiable-almost-everywhere</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-continuous-function-on-a-convex-domain-has-a-primitive</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-continuous-group-homomorphism-is-smooth-by-definition</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-continuous-partition-of-unity-on-a-smooth-manifold-is-smooth</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-continuous-self-map-of-the-circle-is-nullhomotopic</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-continuous-singular-simplex-is-smooth</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-coset-is-a-subgroup</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-countable-language-is-decidable</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-critical-point-is-an-isolated-point</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-crossed-homomorphism-is-an-ordinary-homomorphism</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-cycle-in-a-connected-plane-domain-is-null-homologous</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-degree-one-representation-is-trivial</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-derivative-is-riemann-integrable</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-diagram-built-from-the-associator-and-the-braiding-commutes</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-diagram-in-a-monoidal-category-commutes</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-divisor-of-the-group-order-is-an-irreducible-character-degree</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-domain-in-c-n-is-a-domain-of-holomorphy</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-domain-in-c-two-is-a-domain-of-holomorphy</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-dominant-weight-of-the-abstract-weight-lattice-integrates-to-every-compact-group-form</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-edge-lies-in-every-spanning-tree</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-effective-encoding-is-prefix-free</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-element-of-a-complex-semisimple-lie-algebra-is-semisimple</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-element-of-a-disconnected-compact-lie-group-lies-in-the-identity-components-maximal-torus</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-embedded-submanifold-is-an-open-subset-of-the-ambient-manifold</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-end-exists</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-endomorphism-has-a-commuting-diagonal-plus-nilpotent-decomposition</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-endomorphism-has-jordan-form-over-its-base-field</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-endomorphism-is-triangularisable</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-enriched-category-has-constant-enriched-functors</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-entire-function-with-antiderivative-is-polynomial</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-equivalence-is-an-isomorphism-of-categories</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-exact-couple-is-a-long-exact-sequence-with-no-extra-grading-data</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-fermat-number-is-prime</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finite-abelian-group-is-the-galois-group-of-a-cyclotomic-field</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finite-borel-measure-on-a-compact-hausdorff-space-is-regular</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finite-dimensional-representation-of-a-reductive-lie-algebra-is-completely-reducible</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finite-group-is-a-product-of-cyclic-prime-power-groups</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finite-k-linear-abelian-category-is-semisimple</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finite-reflection-invariant-set-of-vectors-is-a-crystallographic-root-system</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finitely-additive-set-function-is-a-measure</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-finitely-presented-group-has-solvable-word-problem</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-function-g-times-g-to-m-is-a-factor-set</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-functor-preserves-ends</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-functor-with-a-left-adjoint-also-has-a-right-adjoint</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-functor-with-a-left-adjoint-is-monadic</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-fundamental-group-is-abelian</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-galois-subgroup-corresponds-to-a-normal-subextension</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-geodesic-segment-is-globally-length-minimizing</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-germ-is-regular-in-the-last-variable-without-a-coordinate-change</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-graph-with-at-least-four-vertices-has-a-nontrivial-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-group-has-a-universal-central-extension</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-half-dimensional-submanifold-is-lagrangian</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-hausdorff-compactification-is-stone-cech</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-hausdorff-locally-euclidean-space-is-a-manifold</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-hausdorff-space-is-regular</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-henstock-kurzweil-integrable-function-is-a-derivative</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-hereditary-class-has-a-finite-forbidden-basis</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-hereditary-class-is-erdos-hajnal</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-highest-weight-lambda-gives-a-finite-dimensional-simple-module</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-hnn-extension-is-an-ascending-hnn-extension</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-holomorphic-function-on-a-domain-continues-past-its-boundary</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-idempotent-is-an-orthogonal-projection</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-idempotent-splits</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-increasing-function-defines-a-lebesgue-stieltjes-measure</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-increasing-function-satisfies-newton-leibniz</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-injection-of-a-set-into-itself-is-a-bijection</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-injective-immersion-is-a-proper-embedding</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-injective-immersion-is-an-embedding</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-injective-module-is-projective</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-irreducible-polynomial-is-separable</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-irreducible-quintic-over-q-is-insoluble-by-radicals</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-irreducible-real-polynomial-has-degree-one</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-irreducible-representation-of-a-solvable-real-lie-algebra-is-one-dimensional</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-k-form-on-an-n-manifold-can-be-nonzero-when-k-is-greater-than-n</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-kan-extension-is-pointwise</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-l-p-cauchy-sequence-converges-pointwise-almost-everywhere</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-leaf-of-a-regular-foliation-is-an-embedded-submanifold</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-lebesgue-measurable-set-is-a-borel-set</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-level-set-of-a-smooth-map-is-a-graph</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-lie-subalgebra-integrates-to-a-closed-lie-subgroup</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-lie-subalgebra-is-an-ideal</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-lie-subgroup-is-an-embedded-closed-subset</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-linear-functional-on-smooth-germs-is-a-tangent-vector</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-manifold-is-orientable</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-many-one-reduction-is-parsimonious</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-measure-is-absolutely-continuous-or-singular-with-respect-to-lebesgue-measure</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-measure-preserving-system-has-space-mean-ergodic-limits</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-metrizable-space-is-cech-complete</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-minimal-generating-set-of-an-arbitrary-finite-group-has-the-same-size</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-mobius-self-map-restricts-to-an-entire-biholomorphism</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-module-has-a-composition-series</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-monoidal-category-is-closed</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-monoidal-category-is-isomorphic-to-a-strict-one</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-monoidal-category-is-monoidally-equivalent-to-a-skeletal-strict-one</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-monoidal-category-is-rigid</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-monoidal-category-is-strict</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-monotone-class-is-an-algebra</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-noncompact-submanifold-has-a-uniform-radius-tubular-neighbourhood</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-nondegenerate-two-form-is-symplectic</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-nontrivial-normal-subgroup-of-a-primitive-group-is-regular</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-nonzero-element-is-a-unit-or-a-zero-divisor</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-normal-space-is-completely-regular</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-normal-space-is-hausdorff</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-object-of-an-abelian-category-has-a-composition-series</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-omega-one-tree-has-a-cofinal-branch</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-orthogonal-set-is-an-orthonormal-basis</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-pointwise-assignment-of-a-tangent-vector-is-a-smooth-vector-field</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-poset-has-an-incidence-algebra</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-primitive-group-has-a-unique-minimal-normal-subgroup</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-profinite-group-is-pro-p-for-some-prime</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-projective-module-is-free</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-proper-embedding-of-an-n-manifold-lands-in-r-n</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-property-defines-a-set</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-pure-blockade-is-complete-or-anticomplete</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-quasi-isomorphism-is-a-chain-homotopy-equivalence</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-quasi-isomorphism-is-an-isomorphism-of-complexes</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-real-number-is-normal</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-real-polynomial-has-a-real-root</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-reduction-of-an-ordinary-irreducible-remains-irreducible</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-reflective-subcategory-is-closed-under-colimits</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-regular-space-is-metrizable</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-regular-space-is-normal</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-repeated-subword-is-a-piece</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-representation-is-faithful</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-representation-of-a-lie-algebra-is-completely-reducible</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-riemann-integrable-function-is-borel-measurable</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-riemannian-manifold-has-finite-distance-between-points-in-different-components</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-rigid-k-linear-abelian-monoidal-category-is-a-tensor-category</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-set-has-sup</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-set-is-open-or-closed</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-set-of-reals-is-borel</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-short-exact-sequence-of-groups-splits</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-short-exact-sequence-splits</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-smooth-distribution-is-integrable</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-smooth-form-is-either-closed-or-exact</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-smooth-function-defined-near-a-closed-set-extends-globally-without-a-cutoff</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-smooth-manifold-is-compact</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-smooth-map-of-the-plane-is-real-analytic</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-smooth-vector-field-is-complete</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-smooth-vector-field-on-euclidean-space-is-complete</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-solvable-group-is-abelian</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-solvable-lie-algebra-is-nilpotent</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-special-p-group-is-extraspecial</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-split-group-extension-is-a-direct-product</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-subnet-of-a-sequence-is-a-subsequence</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-subnormal-series-is-a-normal-series</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-subset-is-caratheodory-measurable</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-subset-of-r-is-borel</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-subset-of-r-is-lebesgue-measurable</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-symmetric-submodel-satisfies-choice</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-symplectic-action-is-hamiltonian</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-symplectic-vector-field-has-a-global-hamiltonian-function</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-t1-space-is-hausdorff</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-tensor-is-an-elementary-tensor</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-topology-is-metrizable</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-total-computable-function-is-primitive-recursive</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-transitive-action-is-primitive</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-tree-action-is-a-free-action</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-tree-action-is-without-edge-inversions</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-tree-automorphism-fixes-a-vertex</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-triangle-free-graph-is-bipartite</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-triangulated-subcategory-is-thick</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-two-homogeneous-action-is-two-transitive</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-ultrafilter-principal</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-unitary-representation-of-a-compact-group-is-finite-dimensional</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-value-of-a-moment-map-gives-a-smooth-symplectic-quotient</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-value-of-an-irreducible-complex-character-is-real</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-vector-bundle-is-globally-trivial</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-vector-field-along-a-geodesic-is-a-jacobi-field</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-vector-field-can-be-pushed-forward-by-every-smooth-map</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-vector-field-on-a-manifold-with-boundary-has-a-local-two-sided-flow-inside-the-manifold</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-verma-module-is-finite-dimensional</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-weight-vector-is-a-highest-weight-vector</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-word-containing-a-stable-letter-is-nontrivial</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-every-zero-sequence-admits-a-genus-zero-canonical-product</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-evt-holds-on-every-bounded-domain</loc><lastmod>2026-08-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-exact-np-hardness-implies-no-constant-approximation</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-exactness-can-be-defined-without-first-producing-a-canonical-monomorphism</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-exhaustive-filtration-implies-separated-and-complete-filtration</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-exponential-generating-functions-multiply-without-labelled-product-hypothesis</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-ext-is-covariant-in-both-variables</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-ext-is-defined-before-choosing-or-supplying-resolutions</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-extension-degree-equals-number-of-automorphisms</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-extension-degrees-add-in-a-tower</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-f-p-n-is-z-mod-p-n</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-fatou-lemma-is-always-an-equality</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-final-state-and-empty-stack-acceptance-are-literally-identical</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-finite-nilpotent-and-solvable-groups-coincide</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-finite-partitions-always-suffice-for-complex-total-variation</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-finite-values-and-finite-additivity-force-finite-total-variation</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-finite-volume-implies-finite-lateral-surface-area</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-finitely-additive-functions-on-algebras-always-extend</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-finitely-generated-modules-over-domains-split-into-cyclic-modules</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-first-cohomology-classifies-all-subgroups-of-a-semidirect-product</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-first-cohomology-with-nonabelian-coefficients-is-a-group</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-first-countable-spaces-are-second-countable</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-first-quadrant-support-alone-identifies-the-abutment-without-a-filtration</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-fisher-inequality-holds-over-the-two-element-field</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-flat-modules-have-projective-dimension-zero</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-flux-is-independent-of-the-parametrization</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-folner-sequences-exist-for-every-uncountable-amenable-group</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-four-square-representations-of-a-prime-are-essentially-unique</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-free-product-of-abelian-groups-is-abelian</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-freeness-of-chain-groups-can-be-dropped-from-the-classical-kunneth-statement</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-frobenius-applies-to-any-variable-rank-family-of-subspaces</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-function-limit-preserves-strict-inequality</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-g-mod-h-is-a-quotient-lie-group-for-every-closed-subgroup-h</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gadget-correctness-needs-only-one-direction</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-galois-correspondence-is-inclusion-preserving</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gamma-extends-to-the-nonpositive-integers</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gamma-is-entire</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gamma-recurrence-and-factorial-values-do-not-characterize-gamma</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gap-amplification-alone-controls-alphabet</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gauss-bonnet-for-a-surface-with-boundary-has-no-boundary-term</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gcd-times-lcm-equals-the-product</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-gch-on-alephs-is-a-choice-free-formulation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-generating-families-determine-measures</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-geodesic-completeness-means-the-manifold-is-compact</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-geodesic-curvature-is-the-ordinary-curvature-of-a-space-curve</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-geometric-multiplicity-determines-jordan-block-sizes</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-global-cartan-and-iwasawa-decompositions-hold-for-every-nonlinear-cover-without-modified-k</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-goursats-theorem-requires-continuity-of-the-derivative</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-greendlinger-lemma-applies-to-every-finitely-presented-group</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-group-cohomology-is-the-derived-functor-of-coinvariants</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-grouping-can-be-undone</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-groups-of-lie-type-are-developed-here-through-lie-algebra-structure</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-growth-function-is-independent-of-the-generating-set-pointwise</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-h-one-is-defined-here-as-crossed-homomorphisms-modulo-principal-ones</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-h-to-x-h-is-a-lie-homomorphism-under-the-library-poisson-convention</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-h-two-is-defined-here-as-equivalence-classes-of-group-extensions</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-haar-measure-on-a-compact-group-is-only-left-invariant-not-right-invariant</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-hamiltonian-flows-are-complete-on-every-symplectic-manifold</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-hamiltonian-functions-for-one-vector-field-differ-by-one-global-constant-on-a-disconnected-manifold</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-hausdorff-dimension-of-union-is-the-sum</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-hausdorff-measure-is-countably-additive-on-all-subsets</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-heine-borel-holds-in-every-normed-space</loc><lastmod>2026-08-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-henstock-kurzweil-integrable-functions-are-bounded</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-henstock-kurzweil-integrable-implies-riemann-integrable</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-hereditary-classes-are-closed-under-all-subgraphs</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-higher-sectional-curvature-makes-jacobi-fields-spread-faster</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-hnn-normal-form-is-canonical-without-transversals</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-hopfs-formula-is-obviously-independent-of-the-presentation</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-increasing-unions-of-sigma-algebras-are-sigma-algebras</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-left-and-right-duals-of-an-object-are-isomorphic</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-left-and-right-global-dimension-are-equal-by-definition</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-local-existence-at-each-initial-point-gives-one-uniform-time-interval-for-all-initial-points</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-maschkes-theorem-without-the-characteristic-hypothesis</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-maximal-is-greatest</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-pumping-quantifiers-may-be-reordered</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-punctured-domain-functions-must-be-unbounded</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-q-is-g-delta</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-quotient-map-is-open</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-quotient-of-a-hausdorff-space-is-hausdorff</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-ratio-and-root-limits-always-agree</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-ratio-limsup-at-least-one-diverges</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-rational-power-of-negative-base</loc><lastmod>2026-08-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-rationals-complete</loc><lastmod>2026-07-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-real-differentiability-implies-complex-differentiability</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-rearrangement-preserves-the-sum</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-recognizable-means-total</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-recurrence-coefficients-alone-determine-the-sequence</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-recursion-theorem-needs-source-file-access</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-recursively-enumerable-trivial-words-form-a-decision-algorithm</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-reduction-mod-p-of-an-ordinary-character-is-always-irreducible</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-reductions-may-reverse-yes-and-no</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-regular-expression-syntax-is-its-denoted-language</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-reidemeister-schreier-needs-no-choice-of-transversal</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-rejection-is-divergence</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-relativized-separations-prove-unrelativized-separations</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-repeating-constraints-amplifies-the-gap</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-residue-theorem-applies-to-any-cycle-in-the-domain</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-restricted-root-systems-are-always-reduced</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-restriction-of-an-irreducible-complex-representation-is-always-irreducible</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-reusing-random-bits-amplifies-success</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-reverse-order-pseudoinversion-holds-without-hypotheses</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-ricci-curvature-and-scalar-curvature-determine-the-full-riemann-tensor-in-every-dimension</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-rices-theorem-applies-to-state-count</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-riemann-map-is-unique-without-normalization</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-riemann-zeta-is-entire</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-riemann-zeta-is-given-by-its-dirichlet-series-for-all-s-not-one</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-riemannian-distance-is-defined-by-the-length-of-a-unique-shortest-curve</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-right-invariant-fields-identify-t-e-g-with-the-same-bracket-as-left-invariant-fields</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-rmk-representing-measure-is-unique-among-all-borel-measures</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-root-spaces-can-have-arbitrary-dimension-in-a-complex-semisimple-lie-algebra</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-rpg-rqf-is-the-e-one-page-of-the-grothendieck-spectral-sequence</loc><lastmod>2026-09-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-same-cycle-type-implies-conjugate-in-a-n</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-savitch-stores-the-whole-configuration-graph</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-scaffold-general-convex-uniform-output-round-headline</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-schreier-generators-are-always-a-free-basis</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-second-cohomology-classifies-all-nonabelian-extensions</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-sectional-curvature-depends-on-an-ordered-basis-of-the-plane</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-separability-is-hereditary</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-telgarsky-unrestricted-gate-parameter-separation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-the-addition-on-an-additive-category-is-extra-structure-that-must-be-chosen</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-the-baire-property-model-needs-an-inaccessible</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-the-bar-contracting-homotopy-is-group-equivariant</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-the-base-group-may-collapse-in-an-hnn-extension</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-the-borel-hierarchy-closes-after-two-steps</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-the-boundaries-of-a-complex-are-a-quotient-of-its-cycles</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-the-boundary-definition-needs-no-properness-or-equivalence-check</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-universality-removes-the-need-for-supplied-resolution-data</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-unsolvable-word-problem-means-no-word-can-be-decided</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-v-is-a-set</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-vertex-stabilizers-are-literally-the-chosen-vertex-groups-without-conjugacy</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-vitali-covering-theorem-holds-for-arbitrary-covers</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-von-neumann-mean-convergence-implies-birkhoff-pointwise-convergence</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-wainwright-signed-support-threshold-claim</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-weierstrass-preparation-is-unique-without-the-unit-condition</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-whole-semidirect-product-conjugacy-is-the-equivalence-relation-behind-first-cohomology</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-winding-number-depends-only-on-the-trace</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-yonedas-original-notation-agrees-with-the-modern-one</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-complex-derivative-on-an-open-set-implies-constant</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-derivative-almost-everywhere-implies-constancy</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-derivative-on-an-open-set-forces-constancy</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-hausdorff-dimension-implies-countability</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-integral-forces-everywhere-zero</loc><lastmod>2026-08-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-mean-curvature-implies-a-submanifold-is-totally-geodesic</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-on-singletons-implies-zero-measure</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-product-property-modulo-n</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zero-second-derivative-decides-extremum</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/fs-zfc-proves-normal-moore-space-conjecture</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zfc-proves-there-is-an-inaccessible-cardinal</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zp-is-a-torsion-group-because-all-its-coordinate-groups-are-finite</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zp-is-cyclic-as-an-abstract-group</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/fs-zp-is-the-profinite-completion-of-z</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-2dyck-pcfg-prefix-mass-positive</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-3-manifold-boundary-kernel-is-lagrangian</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-based-self-map-of-the-punctured-disk-inducing-the-identity-on-pi-one-is-based-homotopic-to-the-identity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-binomial-coefficient-with-top-below-a-prime-is-nonzero-modulo-that-prime</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-bipartite-layer-is-small-unless-a-large-comb-already-appears</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-bockstein-class-on-rp-two-times-rp-four-has-nonzero-integral-sq-three</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-boundary-fixed-punctured-disk-map-acting-trivially-on-pi-one-is-isotopic-to-the-identity</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-bundle-connection-is-local-and-restricts-to-open-sets</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-bundle-embedding-produces-its-grassmannian-classifying-map</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-c-zero-semigroup-is-uniformly-bounded-on-every-compact-time-interval</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-a-cancelling-disk-triad-has-an-exact-c2-boundary-scalar</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-a-cayley-graph-is-connected-exactly-when-its-defining-subset-generates-the-group</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-a-central-product-of-two-quaternion-groups-is-a-central-product-of-two-dihedral-groups</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-a-clean-framed-whitney-bigon-has-an-adapted-tube</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-a-closed-smooth-manifold-has-the-homotopy-type-of-a-finite-cw-complex</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-collar-identifies-boundary-local-homology-with-the-pair-fundamental-class</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-collar-product-region-deformation-retracts-onto-its-face</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-collared-whitney-disk-can-be-made-disjoint-from-an-entire-compact-immersed-image</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-codimension-one-leaf-with-finite-fundamental-group-has-trivial-holonomy-when-transversely-oriented</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-connected-one-dimensional-manifold-without-boundary-is-a-circle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-holonomy-free-codimension-one-foliation-is-a-fiber-bundle-over-its-leaf-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-leaf-near-a-compact-reference-leaf-is-a-one-sheeted-collar-graph</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-morse-trajectory-has-single-critical-alpha-and-omega-limits</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-remainder-estimate-forces-closed-range</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-riemannian-surface-has-a-uniform-short-geodesic-radius</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-scalar-identity-forces-finite-dimension</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-set-inside-a-bounded-open-set-admits-an-explicit-compactly-supported-cutoff</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-subspace-of-a-cw-complex-meets-only-finitely-many-cells</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compact-surface-metric-extends-across-its-boundary</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-complement-induces-the-conjugation-action-on-the-kernel</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-complete-or-weakly-sparse-blockade-can-be-thinned-to-equal-subblocks-with-directional-sparsity</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-complete-or-weakly-sparse-blockade-yields-a-complete-subblockade-or-an-anticonnected-thinning</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-compressible-leaf-yields-a-vanishing-cycle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-configuration-loop-traces-a-geometric-braid</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-connected-cw-pair-has-a-model-without-low-relative-cells</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-continuous-map-of-compact-hausdorff-spaces-is-an-ultrafilter-algebra-homomorphism</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-contractible-relative-group-ring-complex-with-a-pi-one-isomorphism-gives-a-homotopy-equivalence</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-countable-coordinate-ball-cover-has-a-countable-locally-finite-shrinking</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-countable-coordinate-bump-map-embeds-a-manifold-in-countable-euclidean-data</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-degreewise-split-exact-complex-with-compatible-splittings-is-contractible</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-dense-bipartite-side-has-a-small-hitting-set</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-derivation-annihilates-constant-germs</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-descended-galois-orbit-idempotent-is-primitive</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-diagonal-path-that-changes-side-of-a-level-meets-it</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-dominant-cyclic-highest-weight-module-has-a-unique-simple-quotient</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-double-point-of-a-self-transverse-immersion-has-two-disjoint-embedded-sheet-disks</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-double-sum-over-finite-index-sets-may-be-interchanged</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-downward-closed-family-shatters-each-of-its-members</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-dyadic-scale-of-open-sets-defines-a-continuous-function</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-family-is-a-basis-exactly-when-its-conjugate-matrix-is-invertible</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-family-with-independent-incidence-vectors-has-at-most-n-members</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-fine-euclidean-approximation-lands-in-a-prescribed-tubular-neighbourhood</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-abelian-group-is-a-quotient-of-a-power-of-a-cyclic-group</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-characteristic-circuit-has-c2-regular-port-traces</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-coordinate-bump-map-embeds-a-compact-manifold-in-some-euclidean-space</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-cyclic-group-has-euler-totient-many-generators</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-dimensional-algebra-separates-its-simple-modules</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-dimensional-solvable-lie-algebra-has-a-codimension-one-ideal-over-an-algebraically-closed-characteristic-zero-field</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-endpoint-of-a-maximal-unit-speed-geodesic-produces-a-cauchy-curve</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finite-short-geodesic-network-gives-a-curvilinear-polygon-cellulation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-finitely-punctured-disk-retracts-to-a-wedge-of-circles</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-fixed-point-free-ball-map-produces-a-boundary-retraction</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-foliation-is-taut-if-and-only-if-it-has-no-dead-end-component</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-foliation-transverse-to-the-boundary-restricts-to-the-boundary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-generic-isotopy-of-links-has-only-reidemeister-singular-times</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-generic-linear-projection-preserves-injectivity-and-immersion</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-generic-projection-can-preserve-properness</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-geometric-braid-slices-to-a-configuration-loop</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-given-ultrafilter-on-a-compact-hausdorff-space-has-a-unique-limit</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-graph-subgroup-is-a-complement-exactly-for-a-crossed-homomorphism</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-group-is-abelian-iff-every-conjugacy-class-is-a-singleton</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-group-with-the-fixed-point-property-is-amenable</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-half-dimensional-isotropic-subspace-forces-zero-signature</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-handle-decomposition-gives-a-relative-cw-complex</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-hatted-five-cycle-free-rooted-stable-tooth-comb-yields-a-large-pure-blockade-of-components</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-height-zero-diagram-represents-a-closed-braid</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-infinity-weights-satisfy-power-decay</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-k-handle-deformation-retracts-onto-its-cocore-and-outgoing-region</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-large-cy-restricted-subgraph-in-the-three-outcome-theorem-forces-a-smaller-scale-restricted-subgraph</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-large-set-contains-a-pattern-when-the-homogeneous-number-is-small</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-large-y-ten-thirds-restricted-induced-subgraph-forces-a-y-eleven-thirds-restricted-induced-subgraph</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-leafwise-loop-has-a-finite-transverse-double-point-representative</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-leafwise-path-determines-a-germ-of-transverse-diffeomorphism</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-lie-subalgebra-distribution-is-involutive</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-lifted-cellular-homotopy-equivalence-has-a-contractible-algebraic-mapping-cone</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-limit-point-of-a-gradient-trajectory-is-critical</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-locally-compact-hausdorff-space-has-a-base-of-open-sets-with-compact-closure</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-locally-finite-sum-is-finite-near-the-compact-support-of-a-form</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-low-dimensional-disk-can-be-pushed-off-a-higher-cell</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-map-at-bounded-distance-from-a-quasi-isometric-embedding-is-a-quasi-isometric-embedding</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-map-of-nonzero-degree-between-spheres-is-surjective</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-maximal-layout-has-at-most-epsilon-inverse-blocks</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-measurable-direct-integral-of-unitary-representations-is-strongly-continuous</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-minimal-numerical-serre-kernel-obeys-the-quantum-casimir-constraint</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-module-meets-an-induced-subgraph-in-a-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-module-of-a-module-is-a-module</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-morphism-has-a-comparison-extension-between-the-supplied-injective-resolutions</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-morphism-has-a-comparison-lift-between-the-supplied-projective-resolutions</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-multiple-of-a-fork-surface-has-a-closed-compact-replacement</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-no-transversal-leaf-is-a-torus-via-the-finite-accessibility-boundary-sum</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-non-closed-leaf-of-a-codimension-one-foliation-meets-a-closed-transversal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-noncompact-leaf-of-a-compact-c2-foliation-meets-a-positive-closed-transversal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nondegenerate-l1-representation-recovers-a-unitary-group-representation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nontrivial-five-strand-braid-lies-in-the-burau-kernel</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nonzero-dominant-section-is-determined-on-the-big-cell</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nonzero-pi-class-on-a-torus-has-a-primitive-embedded-pi-root</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nonzero-polynomial-in-several-variables-does-not-vanish-on-an-infinite-subring</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nonzero-unitary-representation-of-a-compact-group-has-a-finite-dimensional-subrepresentation</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nonzero-verma-homomorphism-is-injective</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-normal-summand-of-rank-at-least-two-surjects-on-the-framing-loop-obstruction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-nullhomotopic-closed-transversal-yields-a-vanishing-cycle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-one-cube-average-and-maximal-function-forms-agree</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-one-handle-between-distinct-boundary-components-is-a-boundary-connected-sum</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-p-distribution-decay-from-maximal-cubes</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-p-dual-weight-and-nesting-properties</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-p-weighted-average-comparison-and-density-to-mass</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-p-weights-are-doubling</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-paired-immersed-cap-sweep-excludes-a-positive-closed-transversal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-partition-is-determined-by-its-multiset-of-node-contents</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-pattern-inside-an-extension-set-produces-the-substitution</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-plane-arc-has-a-rectangular-neighborhood-by-schoenflies</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-polynomial-homogeneous-set-in-the-auxiliary-pattern-yields-a-y-four-restricted-union</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-positive-height-diagram-has-a-defect-region</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-positive-majorant-system-dominates-the-formal-cauchy-recursion</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-primitive-pi-torus-collar-has-contracting-longitude-and-exhausting-plane-caps</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-primitive-root-of-unity-and-its-prime-power-share-a-minimal-polynomial-over-the-rationals</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-proper-module-of-a-connected-graph-has-a-complete-neighbour</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-proper-verma-submodule-misses-the-highest-weight-line</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-punctured-disk-mapping-class-fixing-all-standard-adjacent-edges-is-a-boundary-twist-power</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-quasi-isometry-of-geodesic-spaces-has-a-controlled-coarse-inverse</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-quotient-mixed-block-witness-descends-to-two-member-blocks</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-rank-one-haar-average-is-a-nonzero-compact-intertwiner</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-reeb-component-obstructs-tautness</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-regular-weight-has-a-unique-dominant-dot-translate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-reiter-net-has-an-invariant-mean-cluster-point</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-relation-is-included-in-the-product-of-its-domain-and-range</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-rooted-stable-tooth-comb-with-a-cross-edge-between-two-blocks-contains-a-five-cycle</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-self-regular-set-of-intermediate-density-carries-many-induced-copies</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-self-transverse-immersion-has-no-double-points-when-n-is-greater-than-two-m</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-semisparse-blockade-can-be-sampled-to-anticonnected-blocks-with-nearly-pure-relations</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sequence-in-a-hausdorff-space-has-at-most-one-limit</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sequential-abelian-colimit-is-the-cokernel-of-one-minus-shift</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-set-of-positive-finite-measure-fills-most-of-a-dyadic-cube</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-simple-vanishing-cycle-produces-a-compact-leaf</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-small-regular-homotopy-removes-triple-points-and-preserves-transverse-branch-pairs</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-smooth-exhaustion-separates-the-locally-finite-chart-bands</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-smooth-finite-disk-arc-system-isotopy-extends-relative-boundary-and-marked-points</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-smooth-isotopy-of-compact-embedded-submanifolds-extends-to-an-ambient-isotopy</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-smooth-isotopy-of-links-can-be-put-in-general-position</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-smooth-three-manifold-with-h-one-z-two-and-h-two-zero-does-not-embed-in-s-four</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-co-p-five-free-graph-either-sparsifies-further-or-yields-a-pure-blockade-or-a-large-sparse-pair</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-co-p-five-free-graph-has-a-large-nearly-covered-sparse-pair</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-co-p-five-free-graph-yields-a-complete-or-anticomplete-blockade-or-a-sparser-subgraph</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-co-p-five-free-graph-yields-deeper-sparsification-or-a-complete-blockade-or-a-large-anticomplete-set</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-graph-either-sparsifies-further-or-yields-a-comb-or-a-large-sparse-pair</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-graph-has-a-prescribed-size-induced-subgraph-of-bounded-maximum-degree</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-graph-without-a-large-sparse-pair-has-a-large-nearly-covered-sparse-pair</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-p-five-free-graph-has-an-anticomplete-two-blockade</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sparse-set-has-small-self-density</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sphere-homeomorphism-extends-over-the-disk-by-the-alexander-trick</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sphere-with-a-product-neighbourhood-can-be-moved-off-a-lower-dimensional-submanifold</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-standard-stem-arc-system-can-be-straightened-by-boundary-and-puncture-fixed-ambient-isotopy</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-sufficiently-long-generator-extension-iteration-is-injective</loc><lastmod>2026-09-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-system-of-imprimitivity-gives-a-representation-of-the-transformation-algebra</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-taut-foliation-of-a-compact-connected-manifold-is-met-by-a-single-closed-transversal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-topological-invariant-mean-yields-norm-approximately-invariant-densities</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-transitive-quasi-invariant-borel-g-space-is-ergodic</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-transposition-reverses-inversion-sign</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-triangulation-has-a-unique-triangle-on-the-closing-side</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-tubular-target-produces-a-submersive-finite-dimensional-perturbation-family</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-twice-differentiable-local-minimiser-has-nonnegative-second-variation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-two-element-indexed-product-is-in-bijection-with-a-cartesian-product</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-two-sided-coideal-in-an-enveloping-algebra-is-generated-by-its-primitive-part</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-ucb-invariant-mean-yields-a-topological-invariant-mean</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-uniformly-approximable-real-valued-map-is-continuous</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-union-of-parts-is-a-module-exactly-when-the-index-set-is</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vanishing-cycle-determines-a-nontrivial-limitwise-nullhomotopy-class</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vanishing-group-ring-coefficient-sum-pairs-off-opposite-signed-equal-labels</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vector-field-along-an-embedded-submanifold-extends-to-a-neighbourhood-and-globally-when-closed</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vector-line-integral-pulls-back-to-the-parameter-region</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vector-realises-the-minimal-polynomial</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-verma-composition-factor-has-the-same-central-character</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vertex-bijection-is-an-isometry-of-path-metrics-exactly-when-it-is-a-graph-isomorphism</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vertex-mixed-on-a-connected-set-mixes-on-an-edge</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vertex-mixed-on-a-quotient-block-yields-opposite-adjacency-on-two-member-blocks</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-vertex-mixed-on-an-anticonnected-set-yields-opposite-adjacency-on-a-nonedge</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-weak-equivalence-of-cw-complexes-has-vanishing-relative-homotopy-groups</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-weakly-sparse-set-has-a-large-sparse-subset</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-wedge-on-a-product-index-category-is-dinatural-in-each-variable-separately</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-wide-integral-geometric-layer-forces-a-property-star-blockade</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-wonderful-anticonnected-complete-or-sparse-blockade-yields-a-restricted-subgraph-or-a-large-anticomplete-pair</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a-word-whose-weight-is-coprime-to-its-length-has-a-trivial-shift-stabiliser</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a1-arbitrary-framing-cotangent-hecke-model</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a1-hecke-zero-section-excess-coefficients</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a1-nakajima-varieties-and-hecke-correspondence-are-points</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-a1-supported-chow-convolution-and-action</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-aalen-johansen-fixed-time-output-is-a-statistic</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abc-augmented-target-has-tolerance-posterior-marginal</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abel-jacobi-map-is-well-defined-and-base-point-independent</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abel-summation-by-parts</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abel-summation-for-complex-series</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abel-transform-of-cesaro-means</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-group-model-for-spectral-sequence-computations</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-scheme-base-change-and-products</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-scheme-fibres-commutative-and-pointed-morphisms</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-scheme-fibrewise-constant-morphism-rigidity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-scheme-universal-structure-sheaf-sections</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-sheaves-admit-bounded-above-flat-resolutions</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-sheaves-form-a-grothendieck-category</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abelian-sylow-fusion-in-its-normalizer</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolute-convergence-implies-convergence</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolute-real-powers-are-convex</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolute-value-does-not-increase-dirichlet-energy-or-change-ltwo-normalisation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolutely-continuous-upper-quantile-exact-tail-mass</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolutely-convergent-series-cauchy-product</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolutely-convergent-series-is-cauchy</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolutely-irreducible-sl2-representations-have-quadratic-trace-field-models</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolutely-summable-fourier-coefficients-give-uniform-convergence</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-absolutely-summable-linear-filters-preserve-weak-stationarity</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abstract-residue-additivity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abstract-residue-basic-properties</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-abstract-residue-trace-under-finite-free-extension</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ac-supplies-countable-and-dependent-choice-for-banach-integration</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ac-supplies-dependent-choice-for-vector-bundle-constructions</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ac-supplies-sequential-choices-for-probability-constructions</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ac-zero-derivative-and-integral-reconstruction-under-countable-choice</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-acceptance-is-configuration-reachability</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-acl-representatives-reconstruct-weak-gradients-by-fubini</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-action-independent-baseline-does-not-bias-policy-gradient</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-action-map-fibres-and-stabilizer-subscheme</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-actions-related-by-automorphisms-give-isomorphic-semidirect-products</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-active-routes-in-a-finite-dag-have-active-paths</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-actual-same-copy-exchange-caps-have-rigid-original-edge-counts</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-acyclic-assembly-by-exact-columns</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-acyclic-assembly-by-exact-rows</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-acyclic-direct-image-cohomology-comparison</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-acyclic-rows-and-columns-of-cech-double-complex</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-acyclicity-makes-the-simply-connected-middle-handle-matrix-unimodular</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adagrad-accumulated-gram-matrix-is-psd</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adagrad-diagonal-scale-coordinatewise</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adagrad-projection-exists</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adapted-continuous-processes-are-progressively-measurable</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adapted-descending-field-near-a-compact-morse-band</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adapted-resolvent-trace-concentration</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adaptive-covariance-lepski-scale-reduction</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adaptive-cubic-unsuccessful-iteration-count</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adaptive-em-predictable-grid-second-moment</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adaptive-mcmc-block-perturbation-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adaptive-mcmc-uniform-drift-minorization-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adaptive-moment-updates-well-defined</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adaptive-truncated-covariance-estimator-is-total</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-add-one-point-euler-characteristic</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-add-one-point-exact-sequence-line-bundle</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-addable-nodes-of-a-partition-have-distinct-contents</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-addition-and-multiplication-of-marked-ideals</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-addition-of-roofs-makes-an-additive-localization</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-additive-bounded-above-on-an-interval-is-linear</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-additive-character-orthogonality-from-representation-orthogonality</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-additive-characters-are-one-dimensional-complex-representations</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-additive-cocontinuous-module-functors-form-a-category</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-additive-constant-in-an-entropy-flux-does-not-change-the-entropy-inequality</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-additive-kan-and-normalized-fibration-criterion</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-additive-module-functor-preserves-colimits-iff-right-exact-and-coproduct-preserving</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-adem-reduction-spans-by-admissible-composites</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-adjacent-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-adjoining-a-vector-outside-the-span</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adjoining-one-root-reduces-the-unsplit-degree</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-adjoining-roots-of-unity-to-a-galois-extension-adds-an-abelian-kernel</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-adjunction-formula-for-effective-divisors-on-smooth-surfaces</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-admissible-density-domain-is-closed-convex-complete</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-admissible-is-chain</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-admissible-normal-vectors-have-rigid-edge-count-averages</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-admissible-set-exists</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-ale-schur-residual-controls-interface-energy-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alexander-one-knot-has-trivial-alexander-basis</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alexander-one-knot-produces-a-good-group-disk-obstruction</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alexander-one-seifert-form-is-s-equivalent-to-empty</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alexandroff-urysohn-metrization-lemma</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebra-generated-by-finitely-many-integral-elements-is-module-finite</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebra-of-continuous-real-maps-on-a-space</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebra-operations-on-smooth-germs-are-representative-independent</loc><lastmod>2026-08-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebra-with-countable-disjoint-unions-is-sigma</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebra-with-increasing-unions-is-sigma</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebraic-cancellation-does-not-yet-give-geometric-cancellation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebraic-integer-is-a-unit-iff-norm-is-plus-or-minus-one</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebraic-milnor-neighborhoods-admit-controlled-sector-transport</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebraic-open-inclusion-surjects-on-fundamental-groups</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-algebraic-set-finite-irreducible-components</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-all-charts-compatible-with-a-smooth-atlas-form-a-smooth-atlas</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-all-extremal</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-all-polynomial-convolutions-have-uniformly-bounded-degree</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-almost-additive-sequence-has-limit</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-almost-invariant-vectors-and-positive-type-functions</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-almost-sure-convergence-event-is-measurable</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alphabet-reduction-controls-size-and-degree</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alternating-checkerboard-normal-pairing-is-definite</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alternating-hook-induction-cancels-disconnected-rim-removals</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alternating-kempe-paths-cannot-both-occur</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alternating-multilinear-implies-antisymmetric</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alternating-sequence</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alternating-state-adequacy-and-jones-span</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-alternating-top-forms-are-determined-by-one-ordered-basis</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-amenable-D-R-l2-dimension-estimate</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ample-divisor-positive-intersection-on-smooth-projective-surface</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ample-invariant-section-charts-are-affine</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ample-linearization-power-equivariant-embedding</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ample-pullback-finite-morphism</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ample-stable-positive-power</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ample-twist-of-line-bundle-is-very-ample</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ams-stationary-mean-dominates-tail-events</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-amsgrad-momentum-energy-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-amsgrad-one-step-regret-inequality</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-algebraic-integer-average-of-roots-of-unity-is-zero-or-constant</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-ambient-isotopy-preserves-the-orientation-of-an-invariant-round-sphere</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-analytic-germ-has-a-rational-geometric-majorant</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-antipode-is-unique</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-augmented-simplicial-cone-has-an-explicit-chain-contraction</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-elementary-expansion-has-zero-whitehead-torsion</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-embedding-into-r-n-gives-the-same-normal-bundle-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-extension-induces-a-well-defined-outer-action-on-the-kernel</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-extremal-cancellation-shortens-an-artin-substitution</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-hp-atom-has-uniform-hp-quasinorm</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-identity-relative-boundary-matrix-allows-cell-cancellation</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-immersion-into-r-n-gives-a-rank-n-minus-m-representative-of-the-stable-normal-bundle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-infinite-cap-center-trajectory-has-recurrent-common-plaque-interior-patches</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-injective-resolution-for-f-produces-a-g-acyclic-resolution-after-f</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-integrable-o-module-is-generated-by-dominant-maximal-weights</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-invariant-mean-produces-a-reiter-net</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-invariant-polynomial-is-determined-by-its-cartan-restriction</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-invariant-polynomial-of-curvature-is-closed</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-isomorphism-extends-across-a-simple-root-adjunction</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-isotopy-velocity-field-extends-over-a-tubular-neighbourhood</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-iterative-sparsification-step-for-sparse-co-p-five-free-graphs</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-l-two-class-invariant-in-modulus-under-all-translations-of-the-line-is-zero</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-lch-group-has-an-open-sigma-compact-subgroup</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-lkb-kernel-braid-fixes-every-standard-adjacent-edge-up-to-isotopy</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-odd-closed-walk-contains-an-odd-cycle</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-odd-permutation-reverses-oriented-simplex-sign</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-ultrafilter-algebra-determines-a-compact-hausdorff-topology</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-ultrafilter-algebra-map-is-the-unique-ultrafilter-limit</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-unshattered-set-reduces-a-monomial-on-a-family</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-an-x-sparse-blockade-iteration-yields-further-sparsification-or-a-pure-blockade</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-boundary-green-corrector-is-smooth</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-cauchy-data-reduce-to-zero-data-in-normal-form</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-constructible-sheaves-admit-coherent-six-operations</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-countable-operations-and-borel-inclusion</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-duhamel-cancellation-removes-the-generator-singularity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-exhaustion-of-plane-domains</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-noncharacteristic-hypersurfaces-flatten-to-a-coordinate-hyperplane</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-ordinary-differential-systems-by-coefficient-majorants</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-poisson-integrals-have-vanishing-negative-coefficients</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-quasiconformality-implies-modulus-distortion</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-quasiconformality-implies-quadrilateral-modulus-bounds</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-six-operation-support-and-trace-calculus</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-analytic-subsets-of-baire-space-have-tree-projections</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anchored-box-summation-by-parts-hk-variation</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anchored-irgnm-fixed-reference-error-and-residual</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anchored-metric-graph-h1-space-is-hilbert</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anchored-metric-graph-poincare</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-angular-fourier-orthogonality</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anm-density-factorization-implies-dsep-conditional-independence</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anm-joint-density</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anm-noise-independent-of-nondescendants</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anm-parent-dependence-persists-under-conditioning</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-annihilator-ideal-of-a-distribution-is-frame-independent</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-annihilator-of-a-cyclic-submodule</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-annihilator-reverses-inclusion-and-double-annihilator-closes</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-annihilators-are-closed-subspaces</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-annihilators-are-weak-and-weak-star-closed</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-annular-kauffman-bracket-state-expansion</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-annulus-far-field-estimates-for-the-maximal-function</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anti-excedances-become-descents-under-foata-fundamental-transformation</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-antichains-well-order-linearly-ordered-sets</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anticonnected-block-contraction-turns-an-upside-down-comb-into-a-pure-blockade</loc><lastmod>2026-08-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anticonnected-components-are-complement-components</loc><lastmod>2026-08-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-antipodal-circle-map-has-odd-lift-increment</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-antipodal-sphere-cover</loc><lastmod>2026-08-21T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-antisymmetrizer-image-on-its-tabloid-module-is-one-dimensional</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-any-homology-theory-computes-relative-cell-groups-from-its-coefficient-group</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-any-homology-theory-has-a-cellular-chain-complex-on-a-cw-pair</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-any-two-points-in-a-connected-smooth-manifold-can-be-joined-by-a-piecewise-c-one-curve</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anyonic-fusion-path-basis</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-anyonic-vacuum-f-symbol-frobenius-schur-normalization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ap-finite-dimensional-factorization-of-continuous-maps</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-aperiodic-minorization-times-are-cofinite</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-aperiodic-petite-set-with-accessible-small-set-is-small</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-aperiodic-return-times-are-eventually-positive</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-approximate-identities-in-schwartz-space-converge-in-tempered-distributions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-approximate-margin-kkt-limit-under-mfcq</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arbitrarily-large-primes-congruent-to-two-modulo-three</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arbitrary-hilbert-fredholm-determinant-from-separable-support</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arbitrary-level-cyclotomic-murphy-jm-action-is-content-triangular</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arc-length-function-is-continuous-and-nondecreasing</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arc-length-polyline-interpolation-error</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-archimedean-norm-bound</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-archimedean-property-from-completeness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arcs-in-a-connected-submanifold-avoiding-finitely-many-double-points</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arcs-in-a-punctured-disk-have-disjointness-detecting-minimal-positions</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-area-and-l2-derivative-bounds-for-quasiconformal-maps</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-area-minimal-three-sector-homoclinic-cycle-has-identity-inward-holonomy</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arf-quadratic-enhancement-from-seifert-form</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arf-seifert-determinant-congruence-near-minus-one</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-abelian-scheme-torsion-specialization-unramified</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-affine-codimension-one-neighbourhood-and-divisors</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-affine-commutative-prime-to-characteristic-torsion-bound</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-birational-group-law-from-minimal-model</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-coherent-kunneth-and-proper-image-dual</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-connected-smooth-quasiprojective-model-proper-special-fibre</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-cube-derived-square-over-dvr</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-dilatations-and-defect-of-smoothness</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-dual-and-poincare-bundle-finite-field-descent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-dual-isogeny-kernel-and-abelian-biduality</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-effective-ample-pair-and-group-descent</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-field-prime-to-characteristic-torsion-and-tate-module</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-finite-cartier-duality-and-exactness</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-finite-permissible-smoothening</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-finite-translate-group-completion</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-full-minimal-model-embedding</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-group-model-with-abelian-generic-fibre-quasiprojective</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-hilbert-divisor-charts-and-picard-diagonal</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-homogeneous-bundle-vanishing-and-mumford-surjectivity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-invariant-volume-and-finite-minimal-models</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-mumford-map-degree-is-euler-characteristic-square</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-picard-representation-by-generic-quotient-and-translates</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-poincare-cohomology-at-the-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-polarization-and-picard-twist-ampleness</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-prime-to-characteristic-multiplication-etale</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-projective-weak-model-and-rational-mapping</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-arith-separated-minimal-model-and-translations</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-separated-translate-gluing</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-arith-special-fibre-torsion-growth-detects-properness</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-arith-strict-henselization-and-smooth-sections</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-strict-law-translation-and-graph-calculus</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-strictification-of-dvr-birational-group-law</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-symmetric-homomorphism-is-a-mumford-map</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-arith-theta-extension-splitting-and-isotropic-descent</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-arithmetization-agrees-on-boolean-inputs</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-armijo-backtracking-terminates-for-strict-descent-directions</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-aronszajn-finite-petals-incomparability</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-ars222-stage-branch-and-residual-control</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-artin-affine-vanishing-for-constructible-perverse-sheaves</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-artin-atoms-have-explicit-left-and-right-lcms-and-complements</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-artin-fixed-field-upper-degree-bound</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-artin-tate-coefficient-subalgebra</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-artin-tate-intermediate-ring-is-module-finite-over-the-coefficient-subalgebra</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-artins-product-cancellation-dichotomy</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-associated-elliptic-operator-is-densely-defined-symmetric-and-lower-bounded</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-graded-polynomial-surjection</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-graded-quotients-are-well-defined-subquotients</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-graded-symbol-of-a-central-element-is-invariant</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-prime-after-power-regular-quotient</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-prime-equivalent-cyclic-embedding</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-prime-localises-forward</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-prime-localises-reverse-finite</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-primes-contained-in-support</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-primes-exact-sequence-left-inclusion</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-primes-exact-sequence-right-bound</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-primes-from-a-minimal-primary-decomposition</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-primes-of-cohen-macaulay-module-have-full-dimension</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-associated-sheaf-sections-basic-open</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associated-sheaf-stalk-localization</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-associates-characterisation</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-asymptotic-gromov-sequences-form-an-equivalence-relation</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-asymptotic-induction-identifies-leading-modular-simples</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-asymptotically-hyperbolic-half-line-operator-has-right-inverse</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-asymptoticity-is-an-equivalence-relation-on-gromov-sequences</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-asynchronous-finite-dimensional-contraction-stochastic-approximation</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-asynchronous-value-iteration-for-stochastic-shortest-path</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-atomic-forcing-relation-is-well-founded-and-definable</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-atoroidal-piece-with-essential-annulus-is-seifert</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-attaching-a-single-cell-kills-the-represented-homotopy-class</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-attaching-handles-along-isotopic-attaching-embeddings-preserves-the-diffeomorphism-type</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-augmentation-ideal-of-a-finite-p-group-algebra-is-nilpotent</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-augmenting-path-switching</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-auslander-buchsbaum-base-case-free-module</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-auslander-buchsbaum-first-syzygy-depth</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-auslander-buchsbaum-projective-dimension-one</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-auslander-buchsbaum-syzygy-projective-dimension</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-automizer-condition-gives-centralizer-transitivity</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-automorphism-stable-laurent-ideals-descend-to-rational-coefficients</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-av7-coprime-factorization-finite-component-neighbourhoods</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-av7-finite-morphism-projective-over-projective-base</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-av7-integral-closure-elementary-etale-base-change</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-av7-proper-quasi-finite-factor-is-finite</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-av7-relative-integral-closure-finite-affine-charts</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-av7-zero-dimensional-standard-smooth-local-tools</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-average-convergence-of-a-continuous-banach-valued-function</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-averages-over-probability-densities-attain-the-essential-supremum</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-averaging-makes-a-finite-dimensional-representation-unitary</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-averaging-operator-projects-onto-the-fixed-subspace</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-axiom-of-choice-implies-countable-choice</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-axiomatic-cellular-boundaries-are-integral-incidence-matrices-with-coefficients</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-axis-fellow-travelling-controls-the-centralizer</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-b-adic-anova-parseval</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-b-adic-step-functions-dense-in-l2-cube</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-b-spline-basis-refinement-under-single-knot-insertion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-backdoor-criterion-implies-counterfactual-exchangeability</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-backward-euler-cq-principal-branch-generating-function</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-backward-euler-cq-weights-and-partial-sums</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-backward-gaussian-kernel-is-valid-under-full-smoothing-data</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-backward-uniqueness-for-the-heat-equation-on-a-bounded-interval</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baer-sum-is-independent-of-extension-representatives</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baer-sum-of-short-exact-sequence-classes-is-independent-of-representatives</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baire-category-in-a-closed-interval</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baire-diagonal-passage-from-finite-regularity-to-smooth-metrics</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baire-property-sigma-algebra-and-borel-regularity</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balanced-convex-zero-neighborhood-refinement</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balanced-gauge-is-a-seminorm</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balanced-triple-linear-algebra-over-the-projective-line</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balancing-and-hopf-link-character-identity</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baldwin-sivek-instanton-surgery-and-newton-polygon-inputs</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ball-and-cube-maximal-functions-are-comparable</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ball-and-sphere-mean-radial-identity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ball-hardy-traces-and-evaluation-bound</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ball-mean-oscillation-potential-bound</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-ball-poisson-kernel-is-positive-and-normalised</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balls-in-a-connected-locally-finite-graph-are-finite</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balogh-combinatorial-map</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balogh-countable-restriction-enumeration</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balogh-failure-of-countable-shrinking</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balogh-hereditary-normality</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-balogh-neighborhood-basis</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-gaussian-rkhs-unit-ball-is-compact</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-limit-properties</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-manifold-differentials-are-chart-independent</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-mazur-game-category-characterization</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-mean-value-estimate-on-a-convex-set</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-valued-cauchy-integral-vanishes</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-valued-cauchy-theorem-on-star-shaped-domains</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banach-valued-simple-integral-is-well-defined</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-banaschewski-prime-obstruction</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-band-exchanges-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-bandit-importance-weighted-estimator-has-conditional-moments</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bandit-reward-table-has-fixed-conditional-laws</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bandlimited-samples-are-fourier-coefficients-on-the-band-interval</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baoab-one-step-error-moment-bounds</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-baoab-one-step-weak-expansion</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bar-differential-and-augmentation-form-a-complex</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bar-first-integral-homology-is-the-abelianization</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bar-transfer-is-a-chain-map-and-choice-independent-up-to-chain-homotopy</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bar-two-cocycles-classify-abelian-kernel-extensions</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-barnatan-carter-saito-movie-moves-up-to-sign</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-barycentric-coordinates-are-unique</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-barycentric-denominator-polynomial-nonzero</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-barycentric-face-chains-triangulate-a-geometric-simplex</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-barycentric-subdivision-removes-edge-inversions</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-b-expansion-cylinders-match-orbits-away-from-terminating-endpoints</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-affine-morphisms</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-composition</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-locally-finite-type-presentation</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-of-a-zero-dimensional-projective-quotient</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-of-intertwiner-spaces</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-open-closed-immersions</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-quasi-compact-morphisms</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-change-surjective-morphisms</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-extension-field-coordinate-ring</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-base-flat-syzygies-and-fibrewise-resolution-exactness</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-based-and-free-homotopy-classes-of-sphere-maps-agree</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-based-homotopies-transverse-to-the-zero-section-give-normal-cobordisms</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-based-odd-barnatan-movie-maps-and-localized-concordances</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-based-planar-diagrams-admit-spherical-long-endpoint-presentations</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-based-sphere-maps-have-finite-affine-bubble-normal-forms</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-bounding-and-dominating-relations</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-bull-free-hole-with-a-complete-outside-vertex</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-bull-free-hole-with-an-anticomplete-outside-vertex</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-cohen-generic-reals-form-a-symmetric-set</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-cohen-model-schema-of-continuity</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-cohen-search-and-shift-prime-ideal-construction</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-cohen-symmetric-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-basic-combinatorial-lemma-for-tableaux</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-conditional-complexity-inequalities</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-ideal-cardinal-inequalities</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-laws-of-inclusion</loc><lastmod>2026-08-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-opens-quasi-compact</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-properties-of-characteristic-functions</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-properties-of-the-holomorphic-hull</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-properties-of-total-variation</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-pseudointersection-and-tower-bounds</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-weak-neighborhoods</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basic-weak-star-neighborhoods</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basis-change-and-direct-sum-formulas-for-chain-torsion</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-basis-iff-maximal-independent-iff-minimal-spanning</loc><lastmod>2026-07-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bdf2-root-locus-location</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-belt-sphere-complements-in-low-handle-levels-preserve-the-fundamental-group</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-exterior-energy-trace-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-far-panel-quadrature-residual</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-half-order-bessel-slobodeckij-equivalence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-helmholtz-double-layer-conormal-jump</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-lipschitz-graph-sobolev-and-green-interface</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-lipschitz-trace-and-lifting</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-lipschitz-transmission-kernel-representation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-newtonian-kernel-is-fundamental-solution</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-p0-negative-half-order-approximation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-panel-pair-duffy-certificates</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-plane-poisson-kernel-fourier-transform</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-polyhedral-edge-kernel-representation</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-smooth-trace-and-helmholtz-layer-extension</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bem-surface-fractional-norm-equivalence</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bender-knuth-involutions-on-semistandard-tableaux</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-benjamini-hochberg-leave-one-out-identity</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bergman-determinant-over-kernel-invariant</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bergman-evaluation-bound-on-compact-subsets</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bergman-kernel-smoothness-and-positive-diagonal</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bergman-mean-value-l2-bound</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bergman-metric-determinants-of-ball-and-polydisc</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bernoulli-and-binomial-mean-and-variance</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bernoulli-coordinate-posterior-odds-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bernoulli-inequality</loc><lastmod>2026-07-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bernoulli-root-laws-are-uniformly-weak-close</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bernoulli-two-point-testing-for-vc-lower-bound</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bernstein-basis-moment-identities</loc><lastmod>2026-08-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bernstein-polynomial-lipschitz-error</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bessel-casoratian-invariant-positive</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bessel-integral-midpoint-error</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bessel-integral-representations-and-scaled-range</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bessel-j-zero-data-exclusion</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bessel-potential-norm-is-positive-definite</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bessel-potentials-shift-sobolev-order-isometrically</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-beta-density-normalization</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-between-copy-annular-exchange-caps-have-rigid-original-edge-counts</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-between-copy-annular-exchanges-on-least-disks-have-adjacent-caps</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-between-copy-proper-exchanges-have-essential-diagonals-and-rigid-cap-counts</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bezout-global-length-degree-product</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bezout-no-common-component-finite-intersection</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bfgs-hessian-bounds-control-gradient-and-taylor-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/lem-bfgs-updates-preserve-secant-symmetry-and-spd</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bgg-euler-character-gives-the-weyl-numerator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bh-prds-null-contribution-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-biased-hermite-kernel-is-strictly-positive-definite</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bicosimplicial-derived-total-complex-agrees-with-diagonal-totalization</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-biduality-is-stable-under-products-closed-subgroups-and-quotients</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bigraded-string-type-contributions-to-bigraded-intersection-numbers</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bigradings-of-curves-exist-and-are-unique-up-to-the-deck-action</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-biholomorphic-invariance-of-plane-subharmonicity</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bilinear-right-exact-functors-are-determined-by-the-pair-of-regular-modules</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-bimodule-tensor-totalization-respects-differentials-and-homotopies</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binary-monotonicity-excludes-defiers</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binary-quadratic-form-substitution-is-a-right-action</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binary-quadratic-representation-via-hilbert-symbol</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binary-regression-l2-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-binary-resultant-scaling-specialization-and-dehomogenization</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binary-rounding-grid-and-ordered-two-sum</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binary-sequence-space-is-compact-without-tychonoff</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binary-trees-of-a-given-size-form-a-finite-set</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-binomial-count-law</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binomial-series-for-a-repeated-pole</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binomial-support-count-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-binomial-theorem-over-complex-numbers</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-birational-surface-morphism-factors-through-blowup-at-a-non-isomorphism-point</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-bivariate-gaussian-feature-expectations-continuous</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-block-induction-is-transitive</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-blocks-from-different-mixed-block-classes-form-pure-pairs</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-blowup-independent-ideal-generators</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-blowup-lowers-contact-order</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-blowup-multiplicity-euler-characteristic-drop</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-blowups-of-projective-schemes-are-projective</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-blr-testing-supplies-nearby-linear-decoders</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-bmw-cubic-relation-and-hecke-quotient</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bmw-descending-tangle-spanning-and-independence</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bmw-descending-tangle-spanning</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-bmw-relations-dubrovnik-parameter-dictionary</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boardman-approximate-cycle-obstruction-sequence</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-boolean-cube-fourier-inversion-and-parseval</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boolean-quotient-congruence</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boolean-ultrafilter-extension-from-compact-products</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boolean-valued-semantics-is-well-defined</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boone-base-groups-and-associated-free-bases</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boone-commutator-extracts-an-auxiliary-history</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boone-hnn-tower-and-auxiliary-subgroups</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boone-positive-history-pushing</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boone-positive-history-reconstruction</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boone-reduced-auxiliary-words-have-no-rule-pinches</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-bootstrap-particle-filter-weak-consistency</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bor-nonnegative-expansion-for-reduced-kronecker-coefficients</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bordism-of-regular-preimages-produces-a-homotopy-of-sphere-maps</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-cocycle-fields-for-imprimitivity-systems</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-cross-sections-for-closed-subgroups</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-fixed-point-for-projective-actions</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-map-into-separable-banach-is-strongly-measurable</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-borel-null-sections-have-uniform-open-hulls</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-probability-sequences-on-compact-metric-spaces-have-integral-convergent-subsequences</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-product-of-second-countable-spaces</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-relations-admit-conull-borel-uniformizations</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-representatives-make-the-convolution-integrand-borel-measurable</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-borel-section-product-on-compact-metric-spaces</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-sigma-algebra-of-continuous-path-space-is-generated-by-coordinates</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-borel-subgroup-is-the-stabilizer-of-a-maximal-flag</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-boundary-compressible-annulus-is-boundary-parallel</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boundary-connected-sum-with-a-disk-does-not-change-the-diffeomorphism-type</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boundary-exchange-leaf-caps-for-a-least-weight-disk-have-rigid-edge-counts</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-boundary-fixed-disk-evaluation-has-continuous-local-point-motion-sections</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-boundary-intersection-pairing-well-defined-and-nondegenerate</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-boundary-marked-five-bordisms-give-common-middle-two-handle-traces</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boundary-middle-form-is-well-defined-and-glues</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boundary-monomorphisms-from-stabilizers-are-well-defined</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-boundary-of-a-solid-between-continuous-graphs-has-content-zero</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-boundary-point-whose-complementary-component-contains-another-point-is-regular</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-bounded-rational-tree-limit-extension</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-reachability-recursion-is-correct</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-reachability-uses-logarithmic-recursion-depth</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-real-c-zero-functional-is-a-difference-of-positive-functionals</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-bounded-restriction-and-cutoff-localisation-in-sobolev-spaces</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-bounded-square-summable-martingale-difference-series-converges</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-stage-capture-in-finite-support-iterations</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-stopping-preserves-cadlag-square-integrable-martingales</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-strip-maximum-principle</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-support-makes-frechet-kolmogorov-tail-control-automatic</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-test-function-sets-have-common-compact-support</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-two-sided-projective-a-m-bimodule-complexes-act-on-c-m</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-variable-hoeffding-mgf</loc><lastmod>2026-10-19T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-variable-lower-tail-from-mean</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-variation-gives-one-sided-dirichlet-integrability</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-variation-of-a-vector-measure-is-a-finite-measure</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bounded-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-bounding-projections-give-exact-upper-bounds</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bowl-shaped-loss-has-centered-lipschitz-minorants</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-box-control-projection-is-pointwise-clipping</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-box-muller-product-density-and-radius-moment</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-box-volume-is-additive-over-grid-subdivisions</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boys-incomplete-gamma-large-t-tail-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boys-positive-midpoint-enclosure</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boys-small-taylor-remainder</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-boys-upward-downward-recurrence-error-amplification</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bracketing-zoom-finite-budget-checked-return</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brahmagupta-fibonacci-two-square-identity</loc><lastmod>2026-08-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-braid-isotopic-closed-braids-are-conjugate</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-braid-like-moves-can-be-moved-to-height-zero</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-braid-like-reidemeister-moves-on-closed-braids-are-braid-isotopies</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-braid-mapping-classes-lift-equivariantly-to-the-burau-cover</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-braided-tensor-product-of-separable-algebras-is-separable</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-braids-lift-to-the-lkb-cover-and-act-lambda-linearly</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-branched-cover-surgery-presentation-from-seifert-surface</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-branching-rule-for-specht-induction-and-coinvariants</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-and-partition-composition-is-associative</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-and-partition-diagram-basis-ranks</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-character-is-independent-of-basis-and-splitting-field-realisation</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-contraction-functor-and-bending</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-homomorphism-is-conjugation-equivariant</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-images-of-primitive-idempotent-decompositions</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-kernel-and-relative-trace-support</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brauer-maps-kill-nontrivial-idempotent-orbit-sums</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-breaking-length-is-bounded-by-index-drop</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bregman-divergence-nonnegative</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bregman-three-point-identity</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bridge-sphere-normalization</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-broken-morse-trajectories-have-strictly-decreasing-critical-values-and-indices</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-broken-trajectories-are-limits-of-ordinary-trajectories</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brouwer-fixed-point-for-closed-box</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brouwer-fixed-point-for-closed-boxes</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-first-hitting-times-of-closed-sets-are-stopping-times</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-gaussian-covariance-is-equivalent-to-independent-stationary-normal-increments</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-ito-integral-bdg-moment-bound</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-ito-integral-l1-maximal-bound</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-motion-has-a-jointly-measurable-continuous-version</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-poisson-independent-clock-composition</loc><lastmod>2026-10-15T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-step-potential-resolvent-at-zero</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-transition-semigroup-property</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brownian-zero-set-has-lebesgue-measure-zero</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bruhat-covers-are-reflection-covers</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bruhat-covers-give-unique-verma-embeddings</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bruhat-cutoff-on-a-closed-subgroup-quotient</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bruhat-order-basic-properties-for-permutations</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bruhat-rank-two-intervals-are-diamonds</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brunner-choice-and-urysohn-obstructions</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-brunner-urysohn-obstruction-is-injectively-boundable</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-budgeted-verifier-generation-termination-and-calls</loc><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-burgers-slope-obeys-a-riccati-law-along-characteristics</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bv-functions-are-regulated</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bw-implies-archimedean</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-bw-implies-cauchy-complete</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-k-boundary-flattening-preserves-wkp-locally</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-one-change-of-variables-for-continuous-compactly-supported-integrands</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-one-change-of-variables-for-nonnegative-borel-functions-via-radon-uniqueness</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-one-diffeomorphisms-map-lebesgue-measurable-sets-to-lebesgue-measurable-sets</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-one-diffeomorphisms-map-lebesgue-null-sets-to-null-sets</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-one-images-of-content-zero-compact-sets-have-content-zero</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-one-stokes-for-complex-euclidean-domains</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-prime-lambda-implies-c-lambda</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-prime-one-sixth-interior-faces-have-at-least-seven-arcs</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-soft-field-sheaves-are-compact-support-acyclic</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-star-algebras-and-closed-ideals-have-positive-contractive-approximate-units</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-star-positive-calculus-and-order-estimates</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-star-spectral-radius-equals-norm-for-normal-elements</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-star-state-gns-purity-and-polish-state-space</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-two-alpha-boundary-flattening-preserves-ellipticity-and-holder-norms</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-two-boundary-flattening-transforms-uniform-ellipticity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c-zero-is-a-closed-subspace-of-ell-infinity</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-divided-difference-extends-continuously</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-euclidean-maximal-flow-with-c2-upgrade</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-foliated-atlas-preserves-plaque-equivalence-and-transverse-orientation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-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-c1-holonomy-is-a-well-defined-representation-into-transverse-germs</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-local-diffeomorphisms-preserve-null-sets-locally</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-ode-flow-on-common-tube</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-planar-fields-on-a-closed-disk-extend-to-a-neighborhood</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c1-planar-hyperbolic-gradient-has-local-stable-and-unstable-curves</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c2-density-with-bounded-hessian-is-bounded</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c2-first-integral-period-annuli-have-c2-products</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c2-inverses-and-scalar-return-roots</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c2-leaf-intersection-with-a-box-transversal-is-countable</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c2-plaque-transport-and-transverse-fences-preserve-c2-regularity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c2-saddle-function-has-c1-morse-coordinates</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-c2-spherical-leaf-stability-on-a-closed-manifold-needs-only-countable-choice</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-caccioppoli-inequality-for-truncated-subsolutions</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-calderon-reproducing-formula-for-the-hardy-decomposition</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-calderon-zygmund-decomposition-at-height-lambda</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-calderon-zygmund-lp-range-splits-into-interpolation-and-duality</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cancellation-formula-for-second-derivatives-of-newtonian-potentials</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cancellation-modification-can-be-supported-in-a-trajectory-neighbourhood</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-canonical-banach-complexification-of-a-real-banach-space</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-canonical-check-names-are-hereditarily-symmetric</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-canonical-compact-exhaustion-of-a-plane-domain</loc><lastmod>2026-08-28T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-canonical-comparison-characterises-limit-preservation</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-canonical-eilenberg-watts-comparison-is-balanced-and-natural</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-canonical-elementary-crystal-extraction-and-highest-weight-survivors</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-chain-rule-for-an-indefinite-integral-after-an-absolutely-continuous-composition</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-change-of-variables-with-a-degenerate-parameter-boundary</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-changing-a-function-at-finitely-many-points</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-changing-framed-tube-data-changes-the-pontryagin-thom-map-by-based-homotopy</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-changing-the-section-changes-the-factor-set-by-a-coboundary</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chaos-index-sets-are-finite</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-and-cocharacter-lattices-of-a-split-torus</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-evaluation-pairing-is-jointly-continuous</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-extension-from-a-closed-subgroup-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-character-field-is-the-stabilizer-fixed-field</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-is-well-defined</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-orthogonality-on-a-lattice-fundamental-domain</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-ring-of-a-direct-product-is-the-tensor-product</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-space-of-generated-normal-algebra-is-operator-spectrum</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-character-value-on-a-full-cycle-is-supported-on-hooks</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-and-additive-order</loc><lastmod>2026-08-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-disk-center-saddle-index-count</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-disk-map-can-be-put-in-generic-position-rel-boundary</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-disk-singular-images-can-be-separated-into-distinct-leaves-rel-collar</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-disk-with-essential-boundary-data-produces-a-vanishing-cycle</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-divisibility-and-invertibility-of-a-natural-scalar-in-a-field</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-exponential-for-a-continuous-local-martingale-with-clock-t</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-function-of-a-multivariate-normal-law</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-function-of-a-normal-law</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-functions-are-positive-definite</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-functions-under-affine-maps-and-independent-sums</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-hypersurface-is-independent-of-defining-function</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-kernel-on-a-regular-moment-level</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-numbers-of-products-follow-the-whitney-sum-and-kunneth-formulas</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-of-a-young-permutation-character-is-complete</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-period-annulus-has-a-smooth-product-coordinate</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-period-annulus-has-an-orbit-or-polycycle-frontier</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-polynomial-is-monic-and-has-extreme-coefficients</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-polynomial-of-block-triangular-matrix</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-roots-stay-in-separated-neighborhoods</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-solution-satisfies-the-quasilinear-pde</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-strip-compatibility</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-strip-jacobian-at-the-initial-surface</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-subgroup-of-a-normal-subgroup-is-normal</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-subgroups-are-normal-and-characteristic-is-transitive</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristic-zero-scalar-extension-preserves-geometric-local-system-semisimplicity</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characteristics-unique-and-stable</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characters-of-continuous-functions-are-evaluations</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-characters-of-l1-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-characters-on-a-commutative-c-star-algebra-preserve-star</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-charged-core-height-matrices-have-content-preserving-descent-and-minimal-switch-connectivity</loc><lastmod>2026-10-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-charpit-contact-compatibility-is-preserved</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-charpit-flow-preserves-the-pde-constraint</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-charpit-momentum-equation-from-differentiating-hamilton-jacobi</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chart-bump-at-a-point-with-prescribed-support</loc><lastmod>2026-09-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chart-independence-of-c-r-smoothness</loc><lastmod>2026-08-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chart-supported-coefficients-have-well-defined-riemann-integrable-half-space-extensions</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-cardinal-polynomial-formulas</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-constant-is-submultiplicative-root-limit</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-degree-leading-coefficients-and-extreme-values</loc><lastmod>2026-09-23T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-functions-prime-power-comparison</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-lobatto-mode-aliasing</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-polynomials-orthogonal-in-arcsine-weight</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-psi-prime-power-expansion</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chebyshev-rkc-bounds-and-endpoint-derivatives</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cheeger-indicator-and-positive-part-energy</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cheeger-sweep-and-layer-cake</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cherednik-nilpotent-induced-connections-have-moderate-growth</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chern-character-and-todd-class-multiplicativity</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chern-character-induces-the-rational-isomorphism-on-ahss-e-two</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chern-class-naturality-additivity-and-splitting</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chernoff-bound-for-bernoulli-trials</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chernoff-bound-for-independent-bernoulli-trials</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chevalley-basis-and-real-structure-constants</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chi-square-degree-ratio</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chinese-remainder-two-moduli</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chiral-dirac-is-fredholm-with-kernel-and-cokernel</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-choice-free-local-coefficient-duality-on-a-coordinate-ball</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-choice-free-low-degree-coefficient-bockstein-on-compact-manifolds</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-choice-free-smooth-inverse-function-theorem-in-euclidean-space</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-choice-free-wall-chain-finiteness-from-explicit-domination</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-choice-splits-essential-surjectivity-over-a-small-target</loc><lastmod>2026-08-11T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chordal-components-admit-both-orientations</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chow-groups-of-projective-space</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chow-lemma-proper-noetherian</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chow-localization-and-vector-bundle-homotopy</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-chow-ring-naturality-and-projection-formula</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-christoffel-sampling-law-and-gram-mean</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cichon-cross-and-bounding-inequalities</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cir-lamperti-transform-and-positive-root</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-circle-and-path-loop-models-for-eilenberg-maclane-induction</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-circle-loops-of-equal-degree-are-path-homotopic</loc><lastmod>2026-08-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-circle-maximal-weak-one-one</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-circle-neighbourhood-arc-contains-no-nontrivial-subgroup</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-circuit-satisfaction-is-linear-quadratic-consistency</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-circular-dilatation-quasisymmetry-and-analytic-quasiconformality</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-circumcision-meridian-pair-preserves-relative-three-manifold</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clairaut-for-c2-potentials-by-rectangular-differences</loc><lastmod>2026-08-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clarke-euler-identity-for-homogeneous-margins</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clarke-sum-chain-rule-for-exponential-risk</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clarkson-inequalities-for-real-and-complex-lp</loc><lastmod>2026-09-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-affine-algebraic-set-finite-irreducible-components</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-affine-algebraic-set-product-coordinate-ring</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-affine-closed-points-are-maximal-ideals</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-affine-morphisms-equal-on-dense-open</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-affine-variety-nonempty-opens-dense</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-derivatives-are-weak-derivatives</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-dominant-map-pulls-back-function-fields</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-dominant-rational-maps-compose</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-integral-affine-charts-have-canonical-common-function-field</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-irreducible-space-open-intersection-criterion</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-morphism-inverse-image-of-closed-is-closed</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-morphisms-glue-on-open-cover</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-open-source-morphisms-equal-on-dense-open</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-parabolic-solution-at-time-zero-needs-the-compatibility-ax-plus-f-zero</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-point-cut-out-by-dimension-many-functions</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-points-inside-affine-scheme</loc><lastmod>2026-09-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-principal-opens-form-affine-basis</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-rational-map-equivalence-transitive</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-regular-functions-locality-and-gluing</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-regular-functions-on-open-embed-in-function-field</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-rk4-map-is-lipschitz-on-a-controlled-tube</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-solutions-satisfy-the-weak-formulation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-subharmonic-mean-value-inequalities</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-variety-noetherian-components</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-zero-locus-ideal-radical-invariance</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classical-zero-locus-vanishing-ideal-galois-connection</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-classifying-maps-are-natural-under-group-homomorphisms</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clean-block-sparse-gaussian-covariance-minimax-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clean-dense-gaussian-covariance-minimax-lower-bound</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clifford-centrioles-and-geodesic-tangent-condition</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clifford-even-subalgebra-signature-identification</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clifford-exterior-wedge-contraction-relations</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clifford-polarized-relations</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clifford-quotient-factorization</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clifford-quotient-has-canonical-z2-grading</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clifford-zero-dimensional-algebra-is-base-field</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clipped-negative-prefix-positive-suffix</loc><lastmod>2026-10-20T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clock-cutoffs-and-unions-preserve-nondeterministic-time-bounds</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clocked-machine-construction</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-clopen-subset-gives-idempotent-decomposition</loc><lastmod>2026-09-05T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-connected-one-manifolds-are-circles</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-finite-index-subgroup-of-connected-group-points</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-form-and-size-bounds-for-the-dirichlet-kernel</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-gluing-of-two-projective-three-spaces-is-proper</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-hyperbolic-three-manifold-has-no-z2-subgroup</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-ideal-quotient-is-a-banach-algebra</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-immersion-affine-quotient-and-base-change</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-immersion-cohomology-pushforward</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-immersion-local-on-target</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-immersion-preserves-sheaf-cohomology</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-immersion-projection-formula-invertible</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-immersion-proper</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-immersion-pushout-schemes</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-interval-compactness-from-completeness</loc><lastmod>2026-10-17T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-l-two-subspaces-have-orthogonal-projections</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-lkb-basis-surfaces-have-the-three-required-topological-types-and-factors</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-normal-subdiagrams-inherit-strict-irregular-disk-improvement</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-null-fence-word-has-an-essential-lower-endpoint</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-open-and-cubic-covers-give-the-same-lebesgue-outer-measure</loc><lastmod>2026-08-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-oriented-pid-manifolds-have-finitely-generated-homology</loc><lastmod>2026-09-13T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-oriented-smooth-one-and-two-manifolds-bound</loc><lastmod>2026-10-18T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-payoffs-admit-unraveling-covers</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-pl-surfaces-with-even-original-edge-counts-separate</loc><lastmod>2026-10-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-range-iff-quotient-estimate</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-subgroup-quotient-averaging-and-compact-lifts</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-subgroup-scheme-valued-point-criterion</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-subset-of-a-compact-space-is-compact</loc><lastmod>2026-07-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-subsets-of-baire-space-are-tree-bodies</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-subspace-of-a-banach-space-is-banach</loc><lastmod>2026-09-01T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-subspace-with-trivial-orthogonal-complement-fills-l-two</loc><lastmod>2026-09-22T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closed-witness-codings-and-measured-projections</loc><lastmod>2026-10-08T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-closure-depends-only-on-the-braid-isotopy-class</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-closure-of-a-point-is-its-vanishing-set</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-cloud-plurality-rounding</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-club-continuity-produces-strongly-increasing-subsequences</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-club-tree-coding-antichain-reflection</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cm-equidimensional-fibre-dimension-bound-regular-sequence</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cm-local-codimension-and-regular-quotient-ext-concentration</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cm-local-regular-sequence-dimension-drop</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cm-projective-curve-canonical-positive-twist-vanishing-generation</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cm-quotient-of-regular-local-ring-ext-concentration</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-co-bird-free-e-mixed-vertices-are-pure-on-terminal-edges</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-co-bird-free-edge-plus-isolate-witness-obstruction</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-co-bird-free-external-purity-survives-e-overlap-quotients</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-co-bird-free-path-plus-isolate-witness-obstruction</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-co-bird-free-separated-anticonnected-blocks-forbid-forward-mixing</loc><lastmod>2026-09-07T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-co-e-free-complete-nonedge-pairs-are-pure-to-induced-h-five-graphs</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-co-e-free-mixed-vertices-on-an-induced-path-avoid-two-nonneighbours-and-three-neighbours</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-cobounded-proper-geodesic-actions-produce-finite-generating-sets</loc><lastmod>2026-09-26T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cocompact-free-affine-plane-action-is-a-lattice</loc><lastmod>2026-10-02T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coconnected-comodules-have-fixed-vectors</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cocountable-ultrafilter-on-uncountable-set</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cocycle-central-extension-is-a-group</loc><lastmod>2026-09-27T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coderivation-extension-from-corestrictions</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-coefficient-field-maps-isomorphically-to-residue-field</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coefficient-field-purely-inseparable-complete-step</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coefficient-field-separable-adjunction-step</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coefficient-field-transcendental-adjunction-step</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-coefficient-ideal-restriction-support</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coefficient-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-coefficient-majorisation-is-preserved-by-sums-products-composition-and-differentiation</loc><lastmod>2026-09-09T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coercive-form-operator-is-bounded-below</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coercive-sectorial-form-resolvents-define-a-closed-m-sectorial-operator</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coercivity-makes-a-small-form-step-a-contraction</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coercivity-makes-every-finite-level-minimising-sequence-bounded</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coercivity-of-the-adjoint-makes-the-form-operator-range-dense</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coercivity-of-the-principal-dirichlet-form</loc><lastmod>2026-10-06T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-coextension-of-scalars-carries-a-module-structure</loc><lastmod>2026-08-16T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cofiber-of-a-based-cofibration-is-equivalent-to-the-quotient</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cofinal-aleph-product-cardinality</loc><lastmod>2026-09-12T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cofinality-is-well-defined</loc><lastmod>2026-07-29T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cohen-macaulay-parameter-first-element-regular</loc><lastmod>2026-09-24T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-cohen-macaulay-parameter-sequence-induction</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-cohen-presentation-surjective-mod-maximal-square</loc><lastmod>2026-09-04T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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<url><loc>https://alphabetamath.cc/item/lem-compact-self-adjoint-residual-controls-invariant-subspace-gap</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-compact-smooth-manifolds-have-finite-cw-models-under-countable-choice</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-compact-surface-admits-a-finite-triangulation</loc><lastmod>2026-09-30T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compact-test-exponential-law-and-products-of-quotients</loc><lastmod>2026-09-10T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compact-transverse-complementary-intersections-are-finite</loc><lastmod>2026-10-03T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compact-uniform-lan-posterior-approximation</loc><lastmod>2026-10-14T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compact-uniform-spaces-are-complete</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
<url><loc>https://alphabetamath.cc/item/lem-compact-uniform-spaces-are-totally-bounded</loc><lastmod>2026-07-31T00:00:00.000Z</lastmod><priority>0.5</priority></url>
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