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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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A characterization for the products of $k$- and $\aleph _{0}$-spaces and related results
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by Yoshio Tanaka PDF
Proc. Amer. Math. Soc. 59 (1976), 149-155 Request permission

Abstract:

E. Michael introduced the notion of ${\aleph _0}$-spaces and characterized spaces which are both $k$-spaces and ${\aleph _0}$-spaces (or, briefly, $k$-and-${\aleph _0}$-spaces) as being precisely the quotient images of separable metric spaces. The purpose of this paper is to give a necessary and sufficient condition for the product of two $k$-and-${\aleph _0}$-spaces to be a $k$-and-${\aleph _0}$-space. Moreover, as related matters, we shall consider the products of $k$-spaces having other properties.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 59 (1976), 149-155
  • MSC: Primary 54E35; Secondary 54B10, 54D50
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0415580-6
  • MathSciNet review: 0415580