Peer-Reviewed Journal Details
Mandatory Fields
ELLIS, G;HARDIE, K
1995
September
Applied Categorical Structures
A PROJECTIVE HOMOTOPY-THEORY OF CROSSED G-MODULES
Published
()
Optional Fields
NON-ABELIAN COHOMOLOGY CO-HOMOLOGY
3
201
219
In this article we extend Hilton's projective homotopy theory of modules (Hilton, 1967) to a homotopy theory of crossed modules, and then reduce some resulting homotopy classification problems to problems in group homology. We also observe that our homotopy theory satisfies the axioms of a Baues fibration category (Banes, 1989).
0927-2852
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