| Title:
|
Embedding into discretely absolutely star-Lindelöf spaces (English) |
| Author:
|
Song, Yan-Kui |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
303-309 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A space $X$ is {\it discretely absolutely star-Lindelöf\/} if for every open cover $\Cal U$ of $X$ and every dense subset $D$ of $X$, there exists a countable subset $F$ of $D$ such that $F$ is discrete closed in $X$ and $\operatorname{St}(F,\Cal U)=X$, where $\operatorname{St}(F,{\Cal U}) = \bigcup \{U\in{\Cal U} : U\cap F\neq \emptyset \}$. We show that every Hausdorff star-Lindelöf space can be represented in a Hausdorff discretely absolutely star-Lindelöf space as a closed subspace. (English) |
| Keyword:
|
normal |
| Keyword:
|
star-Lindelöf |
| Keyword:
|
centered-Lindelöf |
| MSC:
|
54C25 |
| MSC:
|
54D20 |
| MSC:
|
54G20 |
| idZBL:
|
Zbl 1199.54147 |
| idMR:
|
MR2338098 |
| . |
| Date available:
|
2009-05-05T17:03:06Z |
| Last updated:
|
2012-05-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119660 |
| . |
| 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:
|
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| Reference:
|
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| Reference:
|
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| . |
