Abstract
We define a cotriple (co)homology of crossed modules with coefficients in a π1-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.
Original language | English |
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Pages (from-to) | 261-296 |
Number of pages | 36 |
Journal | Homology, Homotopy and Applications |
Volume | 5 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2003 |
Keywords
- Classifying space
- Cotriple (co)homology
- Crossed module