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Characterizations of functionally compact spaces

Part of: Fairly general properties

Published online by Cambridge University Press:  09 April 2009

L. L. Herrington
L. L. Herrington
Affiliation:
Department of Mathematics University of Arkansas at Pine BluffPine Bluff, Arkansas 71601, U.S.A.
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Abstract

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This paper gives characterizations of functionally compact spaces in terms of filterbases and nets. Also, a topological property that is weaker than countable compactness but stronger than first countable minimality is investigated.

MSC classification

Secondary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 1 , February 1980 , pp. 71 - 79
Copyright
Copyright © Australian Mathematical Society 1980

References

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