(Co)homology of crossed modules with coefficients in a $\pi_1$-module
Algebraic Topology
2007-05-23 v2 Category Theory
Abstract
We define a cotriple (co)homology of crossed modules with coefficients in a -module. We prove its general properties, including the connection with the existing cotriple theories on crossed modules. We establish the relationship with the (co)homology of the classifying space of a crossed module and with the cohomology of groups with operators. An example and an application are given.
Cite
@article{arxiv.math/0306079,
title = {(Co)homology of crossed modules with coefficients in a $\pi_1$-module},
author = {Simona Paoli},
journal= {arXiv preprint arXiv:math/0306079},
year = {2007}
}
Comments
32 pages, LaTeX2e, Paul Taylor's diagram package; added reference. Accepted for publication by Homology, Homotopy and Applications