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A note on pseudocompact spaces

Part of: Maps and general types of spaces defined by maps Fairly general properties

Published online by Cambridge University Press:  09 April 2009

James E. Joseph
James E. Joseph
Affiliation:
Department of Mathematics Howard University Washington, D.C. 20059, U.S.A.
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Abstract

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In this note we give several new characterizations of arbitrary pseudocompact spaces, that is spaces characterized by the property that all continuous real-valued functions on the space are bounded.

Keywords

pseudocompactnessfilterbasescomplete accumulation points.

MSC classification

Secondary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.) 54C30: Real-valued functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 4 , June 1979 , pp. 408 - 410
Copyright
Copyright © Australian Mathematical Society 1979

References

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