| Title:
|
A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding (English) |
| Author:
|
Yamazaki, Kaori |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
175-179 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hager [8] and Hager-Johnson [12]: A Tychonoff space $X$ is $z$-embedded in every larger Tychonoff space if and only if $X$ is almost compact or Lindelöf. We also give a simple proof of a recent theorem of Bella-Yaschenko [6] on absolute embeddings. (English) |
| Keyword:
|
absolute $z$-embedding |
| Keyword:
|
absolute $C$-embedding |
| Keyword:
|
absolute $C^*$-embedding |
| Keyword:
|
absolute embeddings |
| Keyword:
|
almost compact |
| Keyword:
|
Lindelöf |
| Keyword:
|
compact |
| Keyword:
|
pseudocompact |
| MSC:
|
54C25 |
| MSC:
|
54C45 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 1090.54009 |
| idMR:
|
MR1903317 |
| . |
| Date available:
|
2009-01-08T19:20:52Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119310 |
| . |
| 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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| . |
