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Free topological groups
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1977
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