Non-connective K-theory of relative exact categories
Algebraic Geometry
2013-03-19 v1 Algebraic Topology
Category Theory
K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1303.4133,
title = {Non-connective K-theory of relative exact categories},
author = {Satoshi Mochizuki},
journal= {arXiv preprint arXiv:1303.4133},
year = {2013}
}