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## Thomason cohomology of categories

Author
Galvez, M.; Neumann, F.; Tonks, A.
Type of activity
Journal article
Journal
Journal of pure and applied algebra
Date of publication
2013
Volume
217
Number
11
First page
2163
Last page
2179
DOI
https://doi.org/10.1016/j.jpaa.2013.02.005
Project funding
Análisis local en grupos y espacios topológicos
GTAB-Grup de Topologia de Barcelona
Homotopía de orden superior en álgebra y geometría
Repository
http://hdl.handle.net/2117/19437
Abstract
We investigate cohomology and homology theories of categories with general coefficients given by functors on simplex categories first studied by Thomason. These generalize Baues–Wirsching cohomology and homology of a small category, and coincide with Gabriel–Zisman cohomology and homology of the simplicial nerve of the category. Thus Baues–Wirsching cohomology of categories is seen to be a special case of simplicial cohomology. We analyze naturality and functoriality properties of these th...
Citation
Galvez, M.; Neumann, F.; Tonks, A. Thomason cohomology of categories. "Journal of pure and applied algebra", 2013, vol. 217, núm. 11, p. 2163-2179.
Group of research
GEOMVAP - Geometry of Manifolds and Applications