Geodesic
(Co)homology of crossed modules with coefficients in a $\pi_1$-module
Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 261-296.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2003.v5.n1.a12
Classification : 18G50, 18G30
Keywords: crossed module, cotriple (co)homology, classifying space 
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     title = {(Co)homology of crossed modules with coefficients in a $\pi_1$-module},
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Simona Paoli. (Co)homology of crossed modules with coefficients in a $\pi_1$-module. Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 261-296. doi : 10.4310/HHA.2003.v5.n1.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n1.a12/

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