On relatively almost countably compact subsets
Mathematica Bohemica (2010)
- Volume: 135, Issue: 3, page 291-297
- ISSN: 0862-7959
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topSong, Yan-Kui, and Zheng, Shu-Nian. "On relatively almost countably compact subsets." Mathematica Bohemica 135.3 (2010): 291-297. <http://eudml.org/doc/38131>.
@article{Song2010,
abstract = {A subset $Y$ of a space $X$ is almost countably compact in $X$ if for every countable cover $\mathcal \{U\}$ of $Y$ by open subsets of $X$, there exists a finite subfamily $\mathcal \{V\}$ of $\mathcal \{U\}$ such that $Y\subseteq \overline\{\bigcup \mathcal \{V\}\}$. In this paper we investigate the relationship between almost countably compact spaces and relatively almost countably compact subsets, and also study various properties of relatively almost countably compact subsets.},
author = {Song, Yan-Kui, Zheng, Shu-Nian},
journal = {Mathematica Bohemica},
keywords = {countably compact space; almost countably compact space; relatively almost countably compact subset; countably compact space; almost countably compact space; relatively almost countably compact subset},
language = {eng},
number = {3},
pages = {291-297},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On relatively almost countably compact subsets},
url = {http://eudml.org/doc/38131},
volume = {135},
year = {2010},
}
TY - JOUR
AU - Song, Yan-Kui
AU - Zheng, Shu-Nian
TI - On relatively almost countably compact subsets
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 3
SP - 291
EP - 297
AB - A subset $Y$ of a space $X$ is almost countably compact in $X$ if for every countable cover $\mathcal {U}$ of $Y$ by open subsets of $X$, there exists a finite subfamily $\mathcal {V}$ of $\mathcal {U}$ such that $Y\subseteq \overline{\bigcup \mathcal {V}}$. In this paper we investigate the relationship between almost countably compact spaces and relatively almost countably compact subsets, and also study various properties of relatively almost countably compact subsets.
LA - eng
KW - countably compact space; almost countably compact space; relatively almost countably compact subset; countably compact space; almost countably compact space; relatively almost countably compact subset
UR - http://eudml.org/doc/38131
ER -
References
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- Song, Y.-K., On almost countably compact spaces, Preprint.
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