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Semi-F-Spaces

Published online by Cambridge University Press:  20 November 2018

Ronnie Levy*
Affiliation:
George Mason University, Fairfax VA 22030
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Abstract

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Semi-F-spaces are spaces such that given any pair of disjoint cozero sets, every countable subset of one is completely separated from the other. This generalizes the notion of an F-space and is stronger than the property that every countable subset is C*-embedded. Semi-F-spaces are studied and several examples are given.

Information

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1988