| Title:
|
On $\alpha$-embedded sets and extension of mappings (English) |
| Author:
|
Karlova, Olena |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
377-396 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce and study $\alpha$-embedded sets and apply them to generalize the Kuratowski Extension Theorem. (English) |
| Keyword:
|
$\alpha $-embedded set |
| Keyword:
|
$\alpha $-separated set |
| Keyword:
|
extension |
| MSC:
|
54C20 |
| MSC:
|
54C30 |
| MSC:
|
54H05 |
| . |
| Date available:
|
2013-06-29T06:54:48Z |
| Last updated:
|
2015-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143308 |
| . |
| 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:
|
[8] Karlova O.: Baire classification of mappings which are continuous with respect to the first variable and of the $\alpha$'th functionally class with respect to the second variable.Mathematical Bulletin NTSH 2 (2005), 98–114 (in Ukrainian). |
| Reference:
|
[9] Karlova O.: Classification of separately continuous functions with values in $\sigma$-metrizable spaces.Appl. Gen. Topol. 13 (2012), no. 2, 167–178. MR 2998364 |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
[13] Ohta H.: Extension properties and the Niemytski plane.Appl. Gen. Topol. 1 (2000), no. 1, 45–60. MR 1796931 |
| . |
