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Maximum zero-dimensional compactifications

Published online by Cambridge University Press:  24 October 2008

J. R. McCartney
J. R. McCartney
Affiliation:
University of Glasgow
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Extract

All spaces considered in this paper are Hausdorff. θX is a compactification of a completely regular space X means that X is identified with a dense subspace of θX. We shall thus always regard X to be contained in θX. A compactification θX of X is zero-dimension (countable) if its ‘outgrowth” θX ~ X is zero-dimensional (countable).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 3 , November 1970 , pp. 653 - 661
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

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