| Title:
|
$\pi $-mappings in $ls$-Ponomarev-systems (English) |
| Author:
|
Van Dung, Nguyen |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
35-49 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We use the $ls$-Ponomarev-system $(f, M, X, \lbrace \mathcal{P}_{\lambda ,n}\rbrace )$, where $M$ is a locally separable metric space, to give a consistent method to construct a $\pi $-mapping (compact mapping) with covering-properties from a locally separable metric space $M$ onto a space $X$. As applications of these results, we systematically get characterizations of certain $\pi $-images (compact images) of locally separable metric spaces. (English) |
| Keyword:
|
sequence-covering |
| Keyword:
|
compact-covering |
| Keyword:
|
pseudo-sequence-covering |
| Keyword:
|
sequentially-quotient |
| Keyword:
|
$\pi $-mapping |
| Keyword:
|
$ls$-Ponomarev-system |
| Keyword:
|
double point-star cover |
| MSC:
|
54E40 |
| MSC:
|
54E99 |
| idZBL:
|
Zbl 1240.54101 |
| idMR:
|
MR2813545 |
| . |
| Date available:
|
2011-05-23T12:16:46Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141508 |
| . |
| Reference:
|
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| Reference:
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| . |
