Relatively Absolutely Countably Compact Spaces
Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 1
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A subspace Y of a space X is absolutely countably compact(=acc) ( strongly absolutely countably compact(=strongly acc) ) in X if for every open cover U of X and every dense subspace D ⊂ X (respectively, D ⊂ Y ) there exists a finite subset F ⊂ D such that Y ⊂ St ( F , U ), where St ( F , U )=∪{ U ∈ U : U ∩ F ∅}. In this paper, we investigate the relationships between these spaces and other starcompact spaces by giving some examples, and also study topological properties of relatively absolutely countably compact spaces.
Classification :
54A45, 54D20.
@article{BMMS_2006_29_1_a2,
author = {Yan-Kui Song},
title = {Relatively {Absolutely} {Countably} {Compact} {Spaces}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2006},
volume = {29},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a2/}
}
Yan-Kui Song. Relatively Absolutely Countably Compact Spaces. Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a2/