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
Keywords: compact space; separation property; extension
@article{CMUC_1996_37_2_a9,
author = {Arhangel'skii, A. V. and Yaschenko, I. V.},
title = {Relatively compact spaces and separation properties},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {343--348},
year = {1996},
volume = {37},
number = {2},
mrnumber = {1399005},
zbl = {0851.54024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a9/}
}
TY - JOUR AU - Arhangel'skii, A. V. AU - Yaschenko, I. V. TI - Relatively compact spaces and separation properties JO - Commentationes Mathematicae Universitatis Carolinae PY - 1996 SP - 343 EP - 348 VL - 37 IS - 2 UR - http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a9/ LA - en ID - CMUC_1996_37_2_a9 ER -
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/