Absolutely FG spaces

Stone, A. H.

doi:10.1090/S0002-9939-1980-0581017-0

Absolutely FG spaces
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by A. H. Stone

Proc. Amer. Math. Soc. 80 (1980), 515-520

DOI: https://doi.org/10.1090/S0002-9939-1980-0581017-0

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Abstract:

This paper gives characterizations of (a) the Hausdorff spaces that are the intersection of an open set and a closed set in every Hausdorff space containing them, (b) the spaces all of whose subspaces have the property in (a). The last extends a theorem of Herrlich, Kannan and Rajagopalan on hereditarily locally compact spaces.

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