| Title:
|
On weakly monotonically monolithic spaces (English) |
| Author:
|
Peng, Liang-Xue |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
133-142 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note, we introduce the concept of weakly monotonically monolithic spaces, and show that every weakly monotonically monolithic space is a $D$-space. Thus most known conclusions on $D$-spaces can be obtained by this conclusion. As a corollary, we have that if a regular space $X$ is sequential and has a point-countable $wcs^*$-network then $X$ is a $D$-space. (English) |
| Keyword:
|
$D$-space |
| Keyword:
|
sequential space |
| Keyword:
|
$wcs^*$-network |
| Keyword:
|
weakly monotonically monolithic space |
| MSC:
|
54F99 |
| MSC:
|
54G99 |
| idZBL:
|
Zbl 1224.54078 |
| idMR:
|
MR2666085 |
| . |
| Date available:
|
2010-05-21T12:38:24Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140078 |
| . |
| Reference:
|
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| Reference:
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| . |
