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Transactions of the American Mathematical Society

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An embedding characterization of almost compact spaces


Author: Sergio Salbany
Journal: Trans. Amer. Math. Soc. 275 (1983), 611-621
MSC: Primary 54D30; Secondary 54D60
DOI: https://doi.org/10.1090/S0002-9947-1983-0682721-3
MathSciNet review: 682721
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1983-0682721-3
Keywords: Almost compact, almost realcompact, open ultra-filter, maximal relatively separated subspaces, Fomin extension, embedding, canonical product
Article copyright: © Copyright 1983 American Mathematical Society

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