Geodesic
Relatively compact spaces and separation properties
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 343-348
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We consider the property of relative compactness of subspaces of Hausdorff spaces. Several examples of relatively compact spaces are given. We prove that the property of being a relatively compact subspace of a Hausdorff spaces is strictly stronger than being a regular space and strictly weaker than being a Tychonoff space.
We consider the property of relative compactness of subspaces of Hausdorff spaces. Several examples of relatively compact spaces are given. We prove that the property of being a relatively compact subspace of a Hausdorff spaces is strictly stronger than being a regular space and strictly weaker than being a Tychonoff space.
Classification : 54A25, 54D10, 54D15, 54D30
Keywords: compact space; separation property; extension 
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Arhangel'skii, A. V.; Yaschenko, I. V. Relatively compact spaces and separation properties. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 343-348. http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a9/