| Title:
|
Some results on sequentially compact extensions (English) |
| Author:
|
Vipera, M. Cristina |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
819-831 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The class of Hausdorff spaces (or of Tychonoff spaces) which admit a Hausdorff (respectively Tychonoff) sequentially compact extension has not been characterized. We give some new conditions, in particular, we prove that every Tychonoff locally sequentially compact space has a Tychonoff one-point sequentially compact extension. We also give some results about extension of functions and about lattice properties of the family of all minimal sequentially compact extensions of a given space. (English) |
| Keyword:
|
sequentially compact extension |
| Keyword:
|
locally sequentially compact space |
| Keyword:
|
extension of functions |
| MSC:
|
54C20 |
| MSC:
|
54D35 |
| MSC:
|
54D80 |
| idZBL:
|
Zbl 1060.54507 |
| idMR:
|
MR1715470 |
| . |
| Date available:
|
2009-01-08T18:49:00Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119056 |
| . |
| Reference:
|
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| . |
