| Title:
|
On monotone Lindelöfness of countable spaces (English) |
| Author:
|
Levy, Ronnie |
| Author:
|
Matveev, Mikhail |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
155-161 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A space is monotonically Lindelöf (mL) if one can assign to every open cover $\Cal U$ a countable open refinement $r(\Cal U)$ so that $r(\Cal U)$ refines $r(\Cal V)$ whenever $\Cal U$ refines $\Cal V$. We show that some countable spaces are not mL, and that, assuming CH, there are countable mL spaces that are not second countable. (English) |
| Keyword:
|
Lindelöf |
| Keyword:
|
monotonically Lindelöf |
| Keyword:
|
tower |
| Keyword:
|
the countable fan space |
| Keyword:
|
Pixley-Roy space |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 1212.54077 |
| idMR:
|
MR2433633 |
| . |
| Date available:
|
2009-05-05T17:07:14Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119710 |
| . |
| 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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| . |
