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The ideal structure of the Stone-Čech compactification of a group

Published online by Cambridge University Press:  24 October 2008

J. W. Baker  and
P. Milnes
J. W. Baker
Affiliation:
University of Sheffield
P. Milnes
Affiliation:
University of Sheffield
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Extract

Let S be both a topological space and a semigroup. For s ∈ S, define the maps λs and ρs of S to S by

We shall say that S is a right-topological (resp. left-topological) semigroup if ρs (resp. λs) is continuous for each s in S. We denote by Λ(S) the set

this is a subsemigroup of S.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 3 , November 1977 , pp. 401 - 409
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

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