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.References
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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