| Title:
|
Spaces with large star cardinal number (English) |
| Author:
|
Song, Yan-Kui |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
637-643 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we prove the following statements: (1) For any cardinal $\kappa$, there exists a Tychonoff star-Lindelöf space $X$ such that $a(X)\geq \kappa$. (2) There is a Tychonoff discretely star-Lindelöf space $X$ such that $aa(X)$ does not exist. (3) For any cardinal $\kappa$, there exists a Tychonoff pseudocompact $\sigma$-starcompact space $X$ such that $\operatorname{st}\text{-}l(X)\geq \kappa$. (English) |
| Keyword:
|
star-Lindelöf number |
| Keyword:
|
the Aquaro number |
| Keyword:
|
the absolute Aquaro number |
| Keyword:
|
star-Lindelöf |
| Keyword:
|
centered-Lindelöf |
| Keyword:
|
discretely star-Lindelöf |
| Keyword:
|
absolutely discretely star-Lindelöf |
| Keyword:
|
$\sigma$-starcompact |
| Keyword:
|
pseudocompact |
| MSC:
|
54A25 |
| MSC:
|
54D20 |
| idMR:
|
MR3016432 |
| . |
| Date available:
|
2013-03-02T13:50:10Z |
| Last updated:
|
2015-02-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143196 |
| . |
| 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:
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| Reference:
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| Reference:
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| Reference:
|
[11] Song Y.-K.: Discretely star-Lindelöf spaces.Tsukuba J. Math. 25 (2001), 2 371–382. Zbl 1011.54020, MR 1869769 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
