Continuously perfectly normal spaces and some generalizations

Gruenhage, Gary

doi:10.1090/S0002-9947-1976-0428275-4

Continuously perfectly normal spaces and some generalizations
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Trans. Amer. Math. Soc. 224 (1976), 323-338 Request permission

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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