On the functoriality of cohomology of categories |
| |
Authors: | Fernando Muro |
| |
Institution: | Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany |
| |
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 homomorphisms and relative homotopy classes of chain homotopies. As a consequence we derive (co)localization theorems for this cohomology. |
| |
Keywords: | 18G60 18D05 18E35 |
本文献已被 ScienceDirect 等数据库收录! |
|