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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On Biesterfeldt’s completion axiom spaces
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by R. J. Gazik
Proc. Amer. Math. Soc. 52 (1975), 401-405
DOI: https://doi.org/10.1090/S0002-9939-1975-0375201-7

Abstract:

It is proved that a Hausdorff, totally bounded Completion Axiom space is a uniform space. The method of proof shows that Hausdorff Completion Axiom spaces have completions (in the embedding sense) which are again Hausdorff Completion Axiom spaces; moreover these completions are uniformly regular, uniformly strict, and have the regular extension property.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 401-405
  • MSC: Primary 54A20; Secondary 54E15
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0375201-7
  • MathSciNet review: 0375201