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Almost-P-Spaces

Published online by Cambridge University Press:  20 November 2018

Ronnie Levy
Ronnie Levy*
Affiliation:
George Mason University, Fairfax, Virginia
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Abstract

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A P-space is a topological space in which every Gδ-set is open. P-spaces are fairly rare. For example, the only compact (or even pseudocompact) P-spaces are finite. A larger class of spaces, the almost-P-spaces, consists of those spaces in which G δ-sets have dense interiors. The almost-P-spaces are far less restricted than the P-spaces—for example, there are infinite, compact, connected almost-P-spaces. In this paper, we study almost-P-spaces and raise a number of questions relating to them.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 2 , 01 April 1977 , pp. 284 - 288
Copyright
Copyright © Canadian Mathematical Society 1977

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