Non-connective K-theory of exact categories with weak equivalences, by Satoshi Mochizuki

The main objective of this paper is to extend a domain variables of non-connective K-theory to a wide class of exact categories with weak equivalences which need not satisfy the factorization axiom in general and develop fundamental properties of non-connective K-theory. 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.


Satoshi Mochizuki <mochi81@hotmail.com>