On -starcompact spaces
Mathematica Bohemica (2008)
- Volume: 133, Issue: 3, page 259-266
- ISSN: 0862-7959
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topSong, Yan-Kui. "On $\mathcal {C}$-starcompact spaces." Mathematica Bohemica 133.3 (2008): 259-266. <http://eudml.org/doc/250528>.
@article{Song2008,
abstract = {A space $X$ is $\mathcal \{C\}$-starcompact if for every open cover $\mathcal \{U\}$ of $X,$ there exists a countably compact subset $C$ of $X$ such that $\mathop \{\rm St\}(C,\{\mathcal \{U\}\})=X.$ In this paper we investigate the relations between $\mathcal \{C\}$-starcompact spaces and other related spaces, and also study topological properties of $\mathcal \{C\}$-starcompact spaces.},
author = {Song, Yan-Kui},
journal = {Mathematica Bohemica},
keywords = {compact space; countably compact space; Lindelöf space; $\mathcal \{K\}$-starcompact space; $\mathcal \{C\}$-starcompact space; $\mathcal \{L\}$-starcompact space; compact space; countably compact space; Lindelöf space},
language = {eng},
number = {3},
pages = {259-266},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On $\mathcal \{C\}$-starcompact spaces},
url = {http://eudml.org/doc/250528},
volume = {133},
year = {2008},
}
TY - JOUR
AU - Song, Yan-Kui
TI - On $\mathcal {C}$-starcompact spaces
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 3
SP - 259
EP - 266
AB - A space $X$ is $\mathcal {C}$-starcompact if for every open cover $\mathcal {U}$ of $X,$ there exists a countably compact subset $C$ of $X$ such that $\mathop {\rm St}(C,{\mathcal {U}})=X.$ In this paper we investigate the relations between $\mathcal {C}$-starcompact spaces and other related spaces, and also study topological properties of $\mathcal {C}$-starcompact spaces.
LA - eng
KW - compact space; countably compact space; Lindelöf space; $\mathcal {K}$-starcompact space; $\mathcal {C}$-starcompact space; $\mathcal {L}$-starcompact space; compact space; countably compact space; Lindelöf space
UR - http://eudml.org/doc/250528
ER -
References
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