Cohomology of the Grothendieck construction
Category Theory
2010-11-01 v1
Abstract
We consider cohomology of small categories with coefficients in a natural system in the sense of Baues and Wirsching. For any funtor L: K -> CAT, we construct a spectral sequence abutting to the cohomology of the Grothendieck construction of L in terms of the cohomology of K and of L(k), for k an object in K.
Keywords
Cite
@article{arxiv.math/0504282,
title = {Cohomology of the Grothendieck construction},
author = {Teimuraz Pirashvili and Maria Julia Redondo},
journal= {arXiv preprint arXiv:math/0504282},
year = {2010}
}
Comments
13 pages