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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on metric-fine spaces
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by Zdeněk Frolík PDF
Proc. Amer. Math. Soc. 46 (1974), 111-119 Request permission

Abstract:

The coreflection into metric-fine spaces $X$ is explicitly described, and it is shown that metric-fine proximally fine spaces are just the spaces $X$ such that $f:X \to Y$ is uniformly continuous whenever the pre-images under $f$ of zero sets are zero sets.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 46 (1974), 111-119
  • MSC: Primary 54E15
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0358704-X
  • MathSciNet review: 0358704