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Perfect K theory and motivic towers
Connect affine bundle classes to nonconnective perfect K theory, then develop tower exactness, products, coefficients and rational detection. Give the article's bundle-class, motivic-filtration and motivic-cohomology definitions their authoring homes after these suppliers.
1 · Prerequisites
- The Axiom of Choice
- The exact restriction kernel and its denominators
- Full faithfulness of the perfect triangulated quotient
- Every open perfect complex is a retract of a restriction
- External enhanced quotient criterion and localizing nonconnective K
- Nonconnective K theory of perfect complexes
- Essential smallness of perfect and supported categories
- Stable spectra and exact triangles
- Supported perfect complexes are invariant under an open neighbourhood
2 · Logical flowchart
Arrows show item dependencies. A grouped prerequisite node points to items that use one or more of its members; their exact links are listed above.
3 · Items
Lemma
The actual enhanced restriction sequence and its K fiber
Proposition