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Free topological groups

Published online by Cambridge University Press:  09 April 2009

Carlos R. Borges
Carlos R. Borges
Affiliation:
University of California, Davis, California 95616, U.S.A.
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Abstract

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Let X be any Tychonoff space and βX the Stone—Čech compactification of X. Let F(βX) be the Graev free group of βX and let be the subspace topology on the Graev group F(X). Our results demonstrate that this topology is useful and behaves extremely well; the behavior of the free topology still remains enigmatic.

There are various applications, some of which clarify the free topology on F(X), while others improve various results recently published.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 3 , May 1977 , pp. 360 - 365
Copyright
Copyright © Australian Mathematical Society 1977

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