| Title:
|
On $\Cal C$-starcompact spaces (English) |
| Author:
|
Song, Yan-Kui |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
133 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
259-266 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A space $X$ is {\it $\Cal C$-starcompact} if for every open cover $\Cal U$ of $X,$ there exists a countably compact subset $C$ of $X$ such that $\mathop{\rm St}(C,{\Cal U})=X.$ In this paper we investigate the relations between $\Cal C$-starcompact spaces and other related spaces, and also study topological properties of $\Cal C$-starcompact spaces. (English) |
| Keyword:
|
compact space |
| Keyword:
|
countably compact space |
| Keyword:
|
Lindelöf space |
| Keyword:
|
$\Cal K$-starcompact space |
| Keyword:
|
$\Cal C$-starcompact space |
| Keyword:
|
$\Cal L$-starcompact space |
| MSC:
|
54D20 |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 1199.54146 |
| idMR:
|
MR2494780 |
| DOI:
|
10.21136/MB.2008.140616 |
| . |
| Date available:
|
2010-07-20T17:28:52Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140616 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[8] Mrówka, S.: On completely regular spaces.Fund. Math. 41 (1954), 105-106. MR 0063650, 10.4064/fm-41-1-105-106 |
| Reference:
|
[9] Song, Y-K.: On $\Cal K$-starcompact spaces.Bull. Malays. Math. Sci. Soc. 30 (2007), 59-64. Zbl 1134.54314, MR 2330636 |
| Reference:
|
[10] Song, Y-K.: On $\Cal L$-starcompact spaces.Czech. Math. J. 56 (2006), 781-788. Zbl 1164.54356, MR 2291775, 10.1007/s10587-006-0056-y |
| . |
