On the functoriality of cohomology of categories
Category Theory
2011-11-10 v1 K-Theory and Homology
Abstract
In this paper we show that the Baues-Wirsching complex used to define cohomology of categories is a 2-functor from a certain 2-category of natural systems of abelian groups to the 2-category of chain complexes, chain homomorphism and relative homotopy classes of chain homotopies. As a consequence we derive (co)localization theorems for this cohomology.
Cite
@article{arxiv.math/0411478,
title = {On the functoriality of cohomology of categories},
author = {Fernando Muro},
journal= {arXiv preprint arXiv:math/0411478},
year = {2011}
}
Comments
15 pages