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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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A note on spaces in which every open set is $z$-embedded
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by José L. Blasco PDF
Proc. Amer. Math. Soc. 85 (1982), 444-446 Request permission

Abstract:

Let $Oz$ be the class of topological spaces in which every open set is $z$-embedded. In this note we prove the following: If $Y$ is a dense subspace of the real line, then the spaces $\beta Y$ and $\beta Y - Y$ are not in $Oz$.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 444-446
  • MSC: Primary 54C50; Secondary 54C45, 54D40, 54G20
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0656120-9
  • MathSciNet review: 656120