Geodesic
The sizes of relatively compact $T_1$-spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 379-380

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The relativization of Gryzlov's theorem about the size of compact $T_1$-spaces with countable pseudocharacter is false.
Classification : 54A25, 54D20
Keywords: relatively compact; relatively Lindelöf; $T_1$-space; measurable cardinal 
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Just, Winfried. The sizes of relatively compact $T_1$-spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 379-380. http://geodesic.mathdoc.fr/item/CMUC_1996__37_2_a13/