An embedding characterization of almost compact spaces

Salbany, Sergio

doi:10.1090/S0002-9947-1983-0682721-3

An embedding characterization of almost compact spaces
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by Sergio Salbany

Trans. Amer. Math. Soc. 275 (1983), 611-621

DOI: https://doi.org/10.1090/S0002-9947-1983-0682721-3

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Abstract:

We characterize almost compact and almost realcompact spaces in terms of their situation in the product ${(J,u)^C}$. In the characterization of almost compactness $J$ is the two point set or the unit interval; in the characterization of almost realcompactness $J$ is the set of nonnegative integers or the nonnegative reals. $u$ is the upper topology on the real line restricted to $J$.

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