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Article

Arhangel'skii, A. V. ; Yaschenko, I. V.
Relatively compact spaces and separation properties. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 343-348
MSC: 54A25, 54D10, 54D15, 54D30 | MR 1399005 | Zbl 0851.54024
Keywords:
compact space; separation property; extension
Summary:
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.
References:
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