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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The Hewitt realcompactification of products
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by Haruto Ohta PDF
Trans. Amer. Math. Soc. 263 (1981), 363-375 Request permission

Abstract:

For a completely regular Hausdorff space $X$, $\upsilon X$ denotes the Hewitt realcompactification of $X$. Given a topological property $\mathcal {P}$ of spaces, our interest is in characterizing the class $\mathcal {R}(\mathcal {P})$ of all spaces $X$ such that $\upsilon (X \times Y) = \upsilon X \times \upsilon Y$ holds for each $\mathcal {P}$-space $Y$. In the present paper, we obtain such characterizations in the case that $\mathcal {P}$ is locally compact and in the case that $\mathcal {P}$ is metrizable.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 263 (1981), 363-375
  • MSC: Primary 54D60; Secondary 54B10
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0594414-X
  • MathSciNet review: 594414