Product spaces in locales
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- by John Isbell PDF
- Proc. Amer. Math. Soc. 81 (1981), 116-118 Request permission
Abstract:
The embedding of sober spaces in locales preserves products $X \times Y$ where $X$ is quasi-locally compact. A completely regular space $X$ has this preservation property, for all $Y$, if and only if $X$ is a complemented sublocale of a compact space. Equivalently, every closed subset of $X$ is locally compact somewhere.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 116-118
- MSC: Primary 54B10
- DOI: https://doi.org/10.1090/S0002-9939-1981-0589150-5
- MathSciNet review: 589150