Thomason cohomology of categories
-
Autores: Maria Immaculada Gálvez Carrillo
, Frank Neumann, Andrew Tonks
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 11, 2013, págs. 2163-2179
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.02.005
- Enlaces
-
Resumen
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 theories and construct associated spectral sequences for functors between small categories.
¿Es nuevo? Regístrese
Ventajas de registrarse
