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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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There are $2^ c$ symmetrically continuous functions
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by Miroslav Chlebík PDF
Proc. Amer. Math. Soc. 113 (1991), 683-688 Request permission

Abstract:

The purpose of this paper is to prove that the power of the set of symmetrically continuous real functions is ${2^c}$ ($c$ is the power of the continuum). This surprisingly contrasts with the set of continuous (or Borel) real functions, the power of which is $c$.
References
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 113 (1991), 683-688
  • MSC: Primary 26A15; Secondary 26A21
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1069685-8
  • MathSciNet review: 1069685