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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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Quotients of proximity spaces
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by Louis Friedler PDF
Proc. Amer. Math. Soc. 37 (1973), 589-594 Request permission

Abstract:

A characterization of the quotient proximity is given. It is used to find necessary and sufficient conditions for every proximity map on a space to be a topological quotient map. It is shown that a separated proximity space is compact iff every p-map on X with separated range is a proximity quotient map.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 37 (1973), 589-594
  • MSC: Primary 54E05; Secondary 54C10
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0402691-1
  • MathSciNet review: 0402691