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Proceedings of the American Mathematical Society

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

 

 

Metric and symmetric spaces


Author: Peter W. Harley
Journal: Proc. Amer. Math. Soc. 43 (1974), 428-430
MSC: Primary 54E35
DOI: https://doi.org/10.1090/S0002-9939-1974-0336713-4
MathSciNet review: 0336713
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Abstract: In this paper we give an alternative proof, without reference to Urysohn's lemma, of the metrization theorem of Bing [2], Nagata [6], and Smirnov [8] via the theory of symmetric spaces as developed by H. Martin in [5].


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DOI: https://doi.org/10.1090/S0002-9939-1974-0336713-4
Keywords: Metrizable space, symmetrizable space, $ \sigma $-locally finite base
Article copyright: © Copyright 1974 American Mathematical Society