| Title:
|
True preimages of compact or separable sets for functional analysts (English) |
| Author:
|
Drewnowski, Lech |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
69-82 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We discuss various results on the existence of `true' preimages under continuous open maps between $F$-spaces, $F$-lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts. (English) |
| Keyword:
|
preimage |
| Keyword:
|
open map |
| Keyword:
|
complete metric space |
| Keyword:
|
$F$-space |
| Keyword:
|
$F$-lattice |
| Keyword:
|
compact set |
| Keyword:
|
uniformly open map |
| Keyword:
|
surpositive operator |
| Keyword:
|
lower semicontinuous set-valued map |
| MSC:
|
46A16 |
| MSC:
|
46A30 |
| MSC:
|
54C10 |
| MSC:
|
54D65 |
| MSC:
|
54E35 |
| MSC:
|
54E40 |
| MSC:
|
54E45 |
| MSC:
|
54E50 |
| idZBL:
|
Zbl 07217159 |
| idMR:
|
MR4093430 |
| DOI:
|
10.14712/1213-7243.2020.007 |
| . |
| Date available:
|
2020-04-30T11:18:33Z |
| Last updated:
|
2022-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148076 |
| . |
| 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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| . |
