| Title:
|
$g$-metrizable spaces and the images of semi-metric spaces (English) |
| Author:
|
Ge, Ying |
| Author:
|
Lin, Shou |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
1141-1149 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we prove that a space $X$ is a $g$-metrizable space if and only if $X$ is a weak-open, $\pi $ and $\sigma $-image of a semi-metric space, if and only if $X$ is a strong sequence-covering, quotient, $\pi $ and $mssc$-image of a semi-metric space, where “semi-metric” can not be replaced by “metric”. (English) |
| Keyword:
|
$g$-metrizable spaces |
| Keyword:
|
$sn$-metrizable spaces |
| Keyword:
|
weak-open mappings |
| Keyword:
|
strong sequence-covering mappings |
| Keyword:
|
quotient mappings |
| Keyword:
|
$\pi $-mappings |
| Keyword:
|
$\sigma $-mappings |
| Keyword:
|
$mssc$-mappings |
| MSC:
|
54C10 |
| MSC:
|
54D55 |
| MSC:
|
54E25 |
| MSC:
|
54E35 |
| MSC:
|
54E40 |
| idZBL:
|
Zbl 1174.54018 |
| idMR:
|
MR2357584 |
| . |
| Date available:
|
2009-09-24T11:52:08Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128231 |
| . |
| Reference:
|
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