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The classifying space of a crossed complex

Published online by Cambridge University Press:  24 October 2008

Ronald Brown  and
Philip J. Higgins
Ronald Brown
Affiliation:
School of Mathematics, University of Wales, Dean Street, Bangor, Gwynedd LL57 1UT
Philip J. Higgins
Affiliation:
Department of Mathematical Sciences, University of Durham, Science Laboratories, South Road, Durham DH1 3LE
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Extract

The aim of this paper is to show one more facet of the role of crossed complexes as generalisations of both groups (or groupoids) and of chain complexes. We do this by defining and establishing the main properties of a classifying space functor B: from the category of crossed complexes to the category of spaces.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 95 - 120
Copyright
Copyright © Cambridge Philosophical Society 1991

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