Non-connective K-theory of relative exact categories

Abstract

The main objective of this paper is to propose a definition of non-connective K-theory for a wide class of relative exact categories which, in general, do not satisfy the factorization axiom and confirm that it agrees with the non-connective K-theory for exact categories and complicial exact categories with weak equivalences. The main application is to study the topological filtrations of non-connective K-theory of a noetherian commutative ring with unit in terms of Koszul cubes.

References in corpus (1)

• Higher K-theory of Koszul cubes

Cited by in corpus (8)

• What makes a multi-complex exact?
• Delooping of relative exact categories
• Local Gersten's conjecture for regular system of parameters
• A survey of Gersten's conjecture
• Homotopy invariance of higher K-theory for abelian categories
• Negative K-groups of abelian categories
• Nilpotent invariant motives I
• A dévissage theorem of non-connective $K$-theory