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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Pseudocompact spaces and functionally determined uniformities
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by Rodolfo Talamo PDF
Proc. Amer. Math. Soc. 56 (1976), 318-320 Request permission

Abstract:

A topological space is pseudocompact if and only if every admissible uniformity is functionally determined. We construct, on the discrete countable space $N$, an admissible (pseudo)-metric uniformity which is not functionally determined.
References
  • Richard A. Alò and Harvey L. Shapiro, Normal topological spaces, Cambridge Tracts in Mathematics, No. 65, Cambridge University Press, New York-London, 1974. MR 0390985
  • Masahiko Atsuji, Uniform continuity of continuous functions of metric spaces, Pacific J. Math. 8 (1958), 11–16; erratum, 941. MR 99023
  • James Dugundji, Topology, Allyn and Bacon Series in Advanced Mathematics, Allyn and Bacon, Inc., Boston, Mass.-London-Sydney, 1978. Reprinting of the 1966 original. MR 0478089
  • Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 56 (1976), 318-320
  • MSC: Primary 54E15; Secondary 54C30
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0407808-3
  • MathSciNet review: 0407808