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Proceedings of the American Mathematical Society

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A set-theoretic proposition implying the metrizability of normal Moore spaces


Author: Franklin D. Tall
Journal: Proc. Amer. Math. Soc. 33 (1972), 195-198
MSC: Primary 54E30
DOI: https://doi.org/10.1090/S0002-9939-1972-0300239-2
Erratum: Proc. Amer. Math. Soc. 42 (1974), 647.
MathSciNet review: 0300239
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Abstract: A set-theoretic proposition is shown to be equivalent to a topological statement implying that all first countable normal Hausdorff spaces are collectionwise normal, and hence that all normal Moore spaces are metrizable.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0300239-2
Keywords: Moore space, metrizable, normal, collectionwise normal, first countable
Article copyright: © Copyright 1972 American Mathematical Society

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