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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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Pseudonormality and starcompactness of $\sigma$-products
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by Keiko Chiba PDF
Proc. Amer. Math. Soc. 131 (2003), 319-327 Request permission

Abstract:

In this paper we shall prove the following: For every non-trivial $\sigma$-product $\sigma$, of uncountable number of spaces, having at least two points, $\sigma \smallsetminus \sigma _{n}$ is not pseudonormal. And every non-trivial $\sigma$-product is not strongly starcompact.
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Additional Information
  • Keiko Chiba
  • Affiliation: Department of Mathematics, Faculty of Science, Shizuoka University, Ohya, Shizuoka, 422-8529 Japan
  • Email: smktiba@ipc.shizuoka.ac.jp
  • Received by editor(s): April 20, 2001
  • Received by editor(s) in revised form: August 20, 2001
  • Published electronically: May 8, 2002
  • Communicated by: Alan Dow
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 319-327
  • MSC (2000): Primary 54B05, 54B10, 54D15, 54D20
  • DOI: https://doi.org/10.1090/S0002-9939-02-06496-1
  • MathSciNet review: 1929052