Certain subsets of products of $\theta$-refinable spaces are realcompact
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- by Phillip Zenor PDF
- Proc. Amer. Math. Soc. 40 (1973), 612-614 Request permission
Abstract:
It is shown that the normal ${T_1}$-space $X$ is realcompact if and only if (a) each discrete subset of $X$ is realcompact and (b) $X$ can be embedded as a closed subset in the product of a collection of regular $\theta$-refinable spaces.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 612-614
- MSC: Primary 54D60
- DOI: https://doi.org/10.1090/S0002-9939-1973-0322812-9
- MathSciNet review: 0322812