2004/11/22 by Fernando Muro
Mathematics · #Abelian group #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chain (unit) #Cohomology #Equivariant cohomology #Functor #Group cohomology #Homomorphism #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Pure mathematics #math.CT #math.KT #msc:16E05 #msc:18D05 #msc:18G60
paper · pdf · doi:10.1016/j.jpaa.2005.05.004
published as J. Pure Appl. Algebra 204 (2006), no. 3, 455-472 · 15 pages
arxiv created 2004/11/22 · openalex publication_date 2005/06/30 · arxiv updated 2011/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.