A covering property which implies isocompactness. I

Authors:
J. M. Worrell and H. H. Wicke

Journal:
Proc. Amer. Math. Soc. **79** (1980), 331-334

MSC:
Primary 54D20; Secondary 54D30

DOI:
https://doi.org/10.1090/S0002-9939-1980-0565365-6

MathSciNet review:
565365

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Abstract | References | Similar Articles | Additional Information

Abstract: We define a covering property for a topological space which does not explicitly mention countability or finitude of collections although it generalizes weak -refinability. We prove a general theorem that implies that countably compact spaces having the covering property are compact.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1980-0565365-6

Keywords:
Countably compact,
compact,
closed-complete,
weak -refinability,
closed ultrafilters,
isocompactness,
(weakly) -refinable,
(weakly) -refinable

Article copyright:
© Copyright 1980
American Mathematical Society