On the functoriality of cohomology of categories

Details On the functoriality of cohomology of categories On the functoriality of cohomology of categories

2004-11-22

arxiv.org/abs/math/0411478v1

J. Pure Appl. Algebra 204 (2006), no. 3, 455-472

Mathematics

Category Theory

15 pages

Scientific paper

10.1016/j.jpaa.2005.05.004

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.

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