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Alexander's theorem for real-compactness

Published online by Cambridge University Press:  24 October 2008

Allan Hayes
Allan Hayes
Affiliation:
University of Leicester
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Extract

Alexander's theorem (5) states that a topological space is compact if there is a sub-base, , for its closed sets such that every subclass of with the finite intersection property has a non-empty intersection. An analysis and extension of this is given here which has applications, inter alia, to problems concerning real-compactness (2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 1 , January 1968 , pp. 41 - 43
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

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