English

Quasi-weak equivalences in complicial exact categories

K-Theory and Homology 2010-09-24 v1

Abstract

We introduce a notion of quasi-weak equivalences associated with weak-equivalences in an exact category. It gives us a delooping for (idempotent complete) exact categories and a condition that the negative KK-group of an exact category becomes trivial.

Keywords

Cite

@article{arxiv.1009.4608,
  title  = {Quasi-weak equivalences in complicial exact categories},
  author = {Toshiro Hiranouchi and Satoshi Mochizuki},
  journal= {arXiv preprint arXiv:1009.4608},
  year   = {2010}
}