Article
On the functoriality of cohomology of categories
Author/s | Muro Jiménez, Fernando |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2006-03 |
Deposit Date | 2016-06-06 |
Published in |
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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 ... 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | BFM2001-3195-C02-01
AP2000-3330 |
Citation | Muro Jiménez, F. (2006). On the functoriality of cohomology of categories. Journal of Pure and Applied Algebra, 204 (3), 455-472. |
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