A PROJECTIVE HOMOTOPY-THEORY OF CROSSED G-MODULES

Graham J. Ellis

A PROJECTIVE HOMOTOPY-THEORY OF CROSSED G-MODULES

Graham J. Ellis

Mathematics

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Abstract

In this article we extend Hiltons 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).

Original language	English (Ireland)
Number of pages	18
Journal	Applied Categorical Structures
Volume	3
Publication status	Published - 1 Sep 1995

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Authors
ELLIS, G;HARDIE, K

Cite this

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title = "A PROJECTIVE HOMOTOPY-THEORY OF CROSSED G-MODULES",

abstract = "In this article we extend Hiltons 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).",

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N2 - In this article we extend Hiltons 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).

AB - In this article we extend Hiltons 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).

M3 - Article

VL - 3

JO - Applied Categorical Structures

JF - Applied Categorical Structures

ER -

A PROJECTIVE HOMOTOPY-THEORY OF CROSSED G-MODULES

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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