| Title:
|
Preservation of properties of a map by forcing (English) |
| Author:
|
Iwasa, Akira |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
63 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
121-129 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $f\colon X\to Y$ be a continuous map such as an open map, a closed map or a quotient map. We study under what circumstances $f$ remains an open, closed or quotient map in forcing extensions. (English) |
| Keyword:
|
forcing |
| Keyword:
|
open map |
| Keyword:
|
closed map |
| Keyword:
|
quotient map |
| MSC:
|
54A35 |
| MSC:
|
54C10 |
| idZBL:
|
Zbl 07584115 |
| idMR:
|
MR4445739 |
| DOI:
|
10.14712/1213-7243.2021.029 |
| . |
| Date available:
|
2022-07-18T11:53:01Z |
| Last updated:
|
2024-04-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150428 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Iwasa A.: Preservation of countable compactness and pseudocompactness by forcing.Topology Proc. 50 (2017), 1–11. MR 3488498 |
| Reference:
|
[5] Iwasa A.: Preservation of a neighborhood base of a set by ccc forcings.Topology Proc. 52 (2018), 61–72. MR 3673209 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
