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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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$\beta (X)$ can be Fréchet
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by Andrew J. Berner PDF
Proc. Amer. Math. Soc. 80 (1980), 367-373 Request permission

Abstract:

A class of spaces is defined which share many properties of Gillman and Jerison’s space $\psi$. These spaces are used to generalize a theorem of Malykhin, showing that certain one point compactifications are Stone-Čech compactifications. This is used to construct a space whose Stone-Čech compactification is a Fréchet space (under a set theoretic assumption which follows, for example, from the continuum hypothesis).
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 367-373
  • MSC: Primary 54D35; Secondary 54D55
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0577776-3
  • MathSciNet review: 577776