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arXiv:math/0306079 [math.AT]AbstractReferencesReviewsResources

(Co)homology of crossed modules with coefficients in a $π_1$-module

Simona Paoli

Published 2003-06-04, updated 2003-07-24Version 2

We define a cotriple (co)homology of crossed modules with coefficients in a $\pi_1$-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.

Comments: 32 pages, LaTeX2e, Paul Taylor's diagram package; added reference. Accepted for publication by Homology, Homotopy and Applications
Categories: math.AT, math.CT
Subjects: 18G50, 18G30
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