| Title:
|
Remarks on sequence-covering maps (English) |
| Author:
|
Tuyen, Luong Quoc |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
645-650 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we prove that each sequence-covering and boundary-compact map on $g$-metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in \cite{Lin.F.C.and.Lin.S-2011}. (English) |
| Keyword:
|
$g$-metrizable space |
| Keyword:
|
weak base |
| Keyword:
|
$sn$-network |
| Keyword:
|
compact map |
| Keyword:
|
boundary-compact map |
| Keyword:
|
sequence-covering map |
| Keyword:
|
1-sequence-covering map |
| Keyword:
|
weak-open map |
| Keyword:
|
closed map |
| MSC:
|
54C10 |
| MSC:
|
54D65 |
| MSC:
|
54E40 |
| MSC:
|
54E99 |
| idMR:
|
MR3016433 |
| . |
| Date available:
|
2013-03-02T13:51:40Z |
| Last updated:
|
2015-02-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143197 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
