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Thomason cohomology of categories

Author
Galvez, M.; Neumann, F.; Tonks, A.
Type of activity
Report
Date
2012-08
Repository
http://hdl.handle.net/2117/16859 Open in new window
URL
http://arxiv.org/abs/1208.2889 Open in new window
Abstract
We introduce cohomology and homology theories for small categories with general coefficient systems from simplex categories first studied by Thomason. These theories generalize at once Baues-Wirsching cohomology and homology and other more classical theories. We analyze naturality and functoriality properties of these theories and construct associated spectral sequences for functors between small categories.
Citation
Galvez, M.; Tonks, A.; Neumann, F. "Thomason cohomology of categories". 2012.
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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