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A fundamental group topology

Part of: Topological and differentiable algebraic systems Homotopy groups

Published online by Cambridge University Press:  09 April 2009

C. H. Houghton
C. H. Houghton
Affiliation:
Department of Pure Mathematics University CollegeP.O. Box 78 Cardiff, CF1 1XL Wales, U.K.
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Abstract

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The topology of the Čech fundamental group of the one-point compactification of an appropriate space Y induces a topology on the fundamental group of Y. We describe this topology in terms of a topological group introduced by Higman.

MSC classification

Secondary: 22A05: Structure of general topological groups 55Q07: Shape groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 3 , December 1984 , pp. 416 - 420
Copyright
Copyright © Australian Mathematical Society 1984

References

Higman, G. (1952), ‘Unrestricted free products, and varieties of topological groups’, J. London Math. Soc. 27, 73–81.CrossRefGoogle Scholar
Houghton, C. H. (1981), ‘Homotopy classes of maps to an aspherical complex’, J. London Math. Soc. (2) 23, 332–348.CrossRefGoogle Scholar