| Title:
|
Spaces with property $(DC(\omega_1))$ (English) |
| Author:
|
Xuan, Wei-Feng |
| Author:
|
Shi, Wei-Xue |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
58 |
| Issue:
|
1 |
| Year:
|
2017 |
| Pages:
|
131-135 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that if $X$ is a first countable space with property $(DC(\omega_1))$ and with a $G_\delta$-diagonal then the cardinality of $X$ is at most $\mathfrak c$. We also show that if $X$ is a first countable, DCCC, normal space then the extent of $X$ is at most $\mathfrak c$. (English) |
| Keyword:
|
$G_\delta$-diagonal |
| Keyword:
|
property $(DC(\omega_1))$ |
| Keyword:
|
cardinal |
| Keyword:
|
DCCC |
| MSC:
|
54D20 |
| MSC:
|
54E35 |
| idZBL:
|
Zbl 06736749 |
| idMR:
|
MR3631686 |
| DOI:
|
10.14712/1213-7243.2015.190 |
| . |
| Date available:
|
2017-03-12T16:45:22Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146033 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
