| Title:
|
Selections and approaching points in products (English) |
| Author:
|
Gutev, Valentin |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
89-95 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The present paper aims to furnish simple proofs of some recent results about selections on product spaces obtained by García-Ferreira, Miyazaki and Nogura. The topic is discussed in the framework of a result of Katětov about complete normality of products. Also, some applications for products with a countably compact factor are demonstrated as well. (English) |
| Keyword:
|
hyperspace |
| Keyword:
|
Vietoris topology |
| Keyword:
|
weak selection |
| Keyword:
|
ordinal space |
| MSC:
|
54A10 |
| MSC:
|
54B10 |
| MSC:
|
54B20 |
| MSC:
|
54C65 |
| MSC:
|
54F05 |
| idZBL:
|
Zbl 06562199 |
| idMR:
|
MR3478342 |
| DOI:
|
10.14712/1213-7243.2015.147 |
| . |
| Date available:
|
2016-04-12T05:06:51Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144918 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Fujii S., Miyazaki K., Nogura T.: Vietoris continuous selections on scattered spaces.J. Math. Soc. Japan 54 (2002), no. 2, 273–281. MR 1883518, 10.2969/jmsj/05420273 |
| 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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| Reference:
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| Reference:
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| Reference:
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| . |
