Closed subsets of absolutely star-Lindelöf spaces II
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 329-334
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In this paper, we prove the following two statements: (1) There exists a discretely absolutely star-Lindelöf Tychonoff space having a regular-closed subspace which is not CCC-Lindelöf. (2) Every Hausdorff (regular, Tychonoff) linked-Lindelöf space can be represented in a Hausdorff (regular, Tychonoff) absolutely star-Lindelöf space as a closed $G_{\delta}$ subspace.
Classification :
54B05, 54B10, 54D20, 54D35, 54D55
Keywords: star-Lindelöf space; absolutely star-Lindelöf space
Keywords: star-Lindelöf space; absolutely star-Lindelöf space
@article{CMUC_2003__44_2_a10,
author = {Song, Yan-Kui},
title = {Closed subsets of absolutely {star-Lindel\"of} spaces {II}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {329--334},
publisher = {mathdoc},
volume = {44},
number = {2},
year = {2003},
mrnumber = {2026167},
zbl = {1100.54017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2003__44_2_a10/}
}
Song, Yan-Kui. Closed subsets of absolutely star-Lindelöf spaces II. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 329-334. http://geodesic.mathdoc.fr/item/CMUC_2003__44_2_a10/