| Title:
|
Three small results on normal first countable linearly H-closed spaces (English) |
| Author:
|
Baillif, Mathieu |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
63 |
| Issue:
|
2 |
| Year:
|
2022 |
| Pages:
|
221-228 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We use topological consequences of {\sf PFA}, {\sf MA$_{\omega_1}$(S)[S]} and {\sf PFA(S)[S]} proved by other authors to show that normal first countable linearly H-closed spaces with various additional properties are compact in these models. (English) |
| Keyword:
|
linearly H-closed space |
| Keyword:
|
normal space |
| Keyword:
|
first countable space |
| Keyword:
|
forcing axiom |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 07613031 |
| idMR:
|
MR4506133 |
| DOI:
|
10.14712/1213-7243.2022.013 |
| . |
| Date available:
|
2022-11-02T09:18:31Z |
| Last updated:
|
2024-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151086 |
| . |
| Reference:
|
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| Reference:
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| . |
