An embedding characterization of almost realcompact spaces
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- by Z. Frolík and Chen-tung Liu PDF
- Proc. Amer. Math. Soc. 32 (1972), 294-298 Request permission
Abstract:
Any Hausdorff space X can be embedded into the product space $\Pi \{ R_f^ + :f \in {C_ + }(X)\}$, where ${R^ + }$ is the set of all nonnegative reals with the topology consisting of ${R^ + }$ and all sets of the form $\{ x \in {R^ + }:x < a\} ,a \in R$, and ${C_ + }(X)$ is the set of all continuous functions from X to ${R^ + }$. Almost realcompact Hausdorff spaces are characterized as maximal Hausdorff subspaces in their closures in the product.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 294-298
- MSC: Primary 54.53
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290334-9
- MathSciNet review: 0290334