| Title:
|
Notes on $cfp$-covers (English) |
| Author:
|
Lin, Shou |
| Author:
|
Yan, Pengfei |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
295-306 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of this paper is to establish general conditions under which $T_2$-spaces are compact-covering images of metric spaces by using the concept of $cfp$-covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of $g$-metrizable spaces by compact-covering $\sigma$-maps and $mssc$-maps. (English) |
| Keyword:
|
$cfp$-covers |
| Keyword:
|
compact-covering maps |
| Keyword:
|
metrizable spaces |
| Keyword:
|
$g$-metrizable spaces |
| Keyword:
|
$\sigma$-maps |
| Keyword:
|
$mssc$-maps |
| MSC:
|
54C10 |
| MSC:
|
54E18 |
| MSC:
|
54E40 |
| idZBL:
|
Zbl 1100.54021 |
| idMR:
|
MR2026164 |
| . |
| Date available:
|
2009-01-08T19:29:18Z |
| Last updated:
|
2020-02-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119386 |
| . |
| Reference:
|
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| . |
