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arXiv · 1208.2889

Thomason cohomology of categories

Imma Galvez-Carrillo·Frank Neumann·Andrew Tonks
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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.

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Imma Galvez-Carrillo, Frank Neumann, Andrew Tonks. 2012-08-14. Thomason cohomology of categories. https://doi.org/10.1016/j.jpaa.2013.02.005

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