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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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Conditions implying continuity of open and closed functions
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by Ivan Baggs PDF
Proc. Amer. Math. Soc. 33 (1972), 185-190 Request permission

Abstract:

It is shown that every open and closed real valued function of a real variable is continuous. This result is then extended to the case where the domain space is first countable and regular for a special class of open and closed functions.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 185-190
  • MSC: Primary 54C10
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0292041-5
  • MathSciNet review: 0292041