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A construction of a compact right topological semigroup

Published online by Cambridge University Press:  24 October 2008

Ahmed El-Mabhouh
Ahmed El-Mabhouh
Affiliation:
Department of Pure Mathematics, The University, Sheffield S3 7RH, England
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Extract

It is well-known that the structure of βℕ, the Stone—Čech compactification of the discrete semigroup (ℕ, +), is very complex. For example, it has 2c minimal left ideals and 2c minimal right ideals, its minimal ideal contains 2c copies of the free group on 2c generators, see [5], and Lisan[8] proved the existence of 2c copies of the same group outside the closure of the minimal ideal.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 2 , September 1994 , pp. 317 - 323
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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