| Title:
|
A new Lindelöf space with points $G_\delta$ (English) |
| Author:
|
Dow, Alan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
223-230 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that $\diamondsuit^*$ implies there is a zero-dimensional Hausdorff Lindelöf space of cardinality $2^{\aleph_1}$ which has points $G_\delta$. In addition, this space has the property that it need not be Lindelöf after countably closed forcing. (English) |
| Keyword:
|
Lindelöf |
| Keyword:
|
forcing |
| MSC:
|
54A25 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 06433819 |
| idMR:
|
MR3338734 |
| DOI:
|
10.14712/1213-7243.2015.119 |
| . |
| Date available:
|
2015-04-25T17:05:47Z |
| Last updated:
|
2017-08-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144242 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
