(Co)homology of crossed modules with coefficients in a $π_1$-module
| dc.creator | Paoli, Simona | |
| dc.date | 2003-06-04 | |
| dc.date | 2003-07-24 | |
| dc.date.accessioned | 2026-07-07T04:58:34Z | |
| dc.date.available | 2026-07-07T04:58:34Z | |
| dc.description | We define a cotriple (co)homology of crossed modules with coefficients in a $π_1$-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. | |
| dc.description | 32 pages, LaTeX2e, Paul Taylor's diagram package; added reference. Accepted for publication by Homology, Homotopy and Applications | |
| dc.identifier | https://arxiv.org/abs/math/0306079 | |
| dc.identifier | http://arxiv.org/abs/math/0306079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67690 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 18G50; 18G30 | |
| dc.title | (Co)homology of crossed modules with coefficients in a $π_1$-module | |
| dc.type | text |