| Title:
|
Perfect pre-images of cofinally complete metric spaces (English) |
| Author:
|
García-Máynez, A. |
| Author:
|
Romaguera, S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
335-342 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that a Tychonoff space is the perfect pre-image of a cofinally complete metric space if and only if it is paracompact and cofinally \v {C}ech complete. Further properties of these spaces are discussed. In particular, cofinal \v {C}ech completeness is preserved both by perfect mappings and by continuous open mappings. (English) |
| Keyword:
|
cofinally \v {C}ech complete |
| Keyword:
|
paracompact |
| Keyword:
|
cofinally complete metric space |
| Keyword:
|
perfect mapping |
| MSC:
|
54C10 |
| MSC:
|
54D20 |
| MSC:
|
54E50 |
| idZBL:
|
Zbl 0976.54032 |
| idMR:
|
MR1732655 |
| . |
| Date available:
|
2009-01-08T18:52:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119090 |
| . |
| 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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| . |
