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Crossed complexes and chain complexes with operators

Published online by Cambridge University Press:  24 October 2008

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

Chain complexes with a group of operators are a well known tool in algebraic topology, where they arise naturally as the chain complex of cellular chains of the universal cover of a reduced CW-complex X. The group of operators here is the fundamental group of X.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 1 , January 1990 , pp. 33 - 57
Copyright
Copyright © Cambridge Philosophical Society 1990

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