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Semi-F-Spaces

Published online by Cambridge University Press:  20 November 2018

Ronnie Levy
Ronnie Levy*
Affiliation:
George Mason University, FairfaxVA 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.

Keywords

54G05F-spacesemi-F-space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 4 , 01 December 1988 , pp. 385 - 393
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Comfort, W. W. and Negrepontis, S., Theory of ultrafliters Springer-Verlag, 1974.Google Scholar
2. Dow, A., CH and open subspaces of F-spaces Proc. Amer. Math. Soc. 89 (1983), pp. 341–345.Google Scholar
3. Dow, A. and van Mill, J., On nowhere dense ccc P-sets Proc. Amer. Math. Soc. 80 (1980), pp. 697–700.Google Scholar
4. Gillman, L. and Jerison, M., Rings of continuous functions van Nostrand, 1960.Google Scholar
5. Levy, R. and Rice, M. D., Normal P-spaces and the G8-topology Coll. Math. 44 (1981), pp. 227–240.Google Scholar
6. van Mill, J., An introduction to βω, Handbook of set theoretic topology edited by Kunen, K. and Vaughan, J., North-Holland, 1985.Google Scholar
7. Walker, R., The Stone-Cech compactification Springer-Verlag, 1974.Google Scholar