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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Continuously perfectly normal spaces and some generalizations


Author: Gary Gruenhage
Journal: Trans. Amer. Math. Soc. 224 (1976), 323-338
MSC: Primary 54D15; Secondary 54E35
MathSciNet review: 0428275
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Abstract: In this work we continue the study of continuously perfectly normal, continuously normal, and continuously completely regular spaces which was begun by Phillip Zenor. Among other results, we prove that separable continuously completely regular spaces are metrizable, and provide an example of a nonmetrizable continuously perfectly normal space.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0428275-4
Article copyright: © Copyright 1976 American Mathematical Society