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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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The regular continuous image of a minimal regular space is not necessarily minimal regular
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by Manuel P. Berriozabal and Carroll F. Blakemore PDF
Proc. Amer. Math. Soc. 51 (1975), 453-454 Request permission

Abstract:

Herrlich has shown that the regular continuous image of a regular-closed space is regular-closed. In this paper, an example is given to show that Herrlich’s result cannot be extended to a corresponding result for minimal regular spaces. Also, a modification of this example shows that a continuous function from a minimal regular space onto a regular space is not necessarily a closed function.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 51 (1975), 453-454
  • MSC: Primary 54D25
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0388340-1
  • MathSciNet review: 0388340