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On the functoriality of cohomology of categories

Fernando Muro
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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.

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Fernando Muro. 2004-11-22. On the functoriality of cohomology of categories. https://doi.org/10.1016/j.jpaa.2005.05.004

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