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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Completely regular and $ \omega $-regular spaces


Authors: D. C. Kent and G. D. Richardson
Journal: Proc. Amer. Math. Soc. 82 (1981), 649-652
MSC: Primary 54A20; Secondary 54D15
DOI: https://doi.org/10.1090/S0002-9939-1981-0614896-X
MathSciNet review: 614896
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Abstract: The completely regular convergence spaces are characterized as those spaces having symmetric compactifications. The $ \omega $-regular convergence spaces are those which have regular compactifications.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0614896-X
Keywords: Convergence space, completely regular space, $ \omega $-regular space, regular compactification, symmetric compactification
Article copyright: © Copyright 1981 American Mathematical Society