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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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Closed mappings and quasimetrics
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by Jacob Kofner PDF
Proc. Amer. Math. Soc. 80 (1980), 333-336 Request permission

Abstract:

Closed continuous mappings with first countable images preserve quasi-metric spaces as well as nonarchimedean quasi-metric spaces and $\gamma$-spaces. This is a strict generalization of analogous results on perfect mappings: there exists a closed continuous mapping of a nonarchimedean quasi-metric Moore space onto a compact metric space which is neither perfect nor boundary compact.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 333-336
  • MSC: Primary 54E15; Secondary 54C10
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0577769-6
  • MathSciNet review: 577769