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A Class of Spaces in Which Compact Sets are Finite

Published online by Cambridge University Press:  20 November 2018

P. L. Sharma
P. L. Sharma*
Affiliation:
Department of Mathematics, University of Missour-Rolla Rolla, Missouri 65401, USA
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Abstract

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It is shown that in a dense-in-itself Hausdorff space if every set having a dense interior is open, then every compact set is finite.

Keywords

54A1054D1054D20submaximalregular-open setsemi-regulars-class

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 3 , 01 September 1981 , pp. 373 - 375
Copyright
Copyright © Canadian Mathematical Society 1981

References

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