| Title:
|
Čech-Stone-like compactifications for general topological spaces (English) |
| Author:
|
Hušek, Miroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
159-163 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The problem whether every topological space $X$ has a compactification $Y$ such that every continuous mapping $f$ from $X$ into a compact space $Z$ has a continuous extension from $Y$ into $Z$ is answered in the negative. For some spaces $X$ such compactifications exist. (English) |
| Keyword:
|
compactification |
| Keyword:
|
mapping-extension |
| MSC:
|
18B30 |
| MSC:
|
54B30 |
| MSC:
|
54C20 |
| MSC:
|
54D35 |
| idZBL:
|
Zbl 0754.54014 |
| idMR:
|
MR1173757 |
| . |
| Date available:
|
2009-01-08T17:54:22Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118481 |
| . |
| Reference:
|
[AR] Adámek J., Rosický J.: On injectivity classes in locally presented categories.preprint (1991), (to appear in Trans. Amer. Math. Soc). |
| Reference:
|
[Če] Čech E.: Topological spaces.(revised ed. by Z.Frolík, M.Katětov) (Academia Prague 1966). MR 0211373 |
| Reference:
|
[DW] Dow A., Watson S.: Universal spaces.preprint (December 1990). MR 1056167 |
| Reference:
|
[En] Engelking R.: Topological spaces.Heldermann Verlag Berlin (1990). |
| Reference:
|
[GH] Giuli E., Hušek M.: A diagonal theorem for epireflective subcategories of Top and cowellpoweredness.Ann. di Matem. Pura et Appl. 145 (1986), 337-346. MR 0886716 |
| Reference:
|
[GS] Giuli E., Simon P.: On spaces in which every bounded subset is Hausdorff.Topology and its Appl. 37 (1990), 267-274. Zbl 0719.54009, MR 1082937 |
| Reference:
|
[Ha] Harris D.: The Wallman compactification as a functor.Gen. Top. and its Appl. 1 (1971), 273-281. Zbl 0224.54010, MR 0292034 |
| Reference:
|
[He] Herrlich H.: Almost reflective subcategories of Top.preprint (1991) (to appear in Topology and its Appl.). MR 1208677 |
| Reference:
|
[Hu$_1$] Hušek M.: Categorial connections between generalized proximity spaces and compactifications.Contributions to extension theory of topological structures, Proc. Conf. Berlin 1967 (Academia Berlin 1969), 127-132. MR 0248730 |
| Reference:
|
[Hu$_2$] Hušek M.: Remarks on reflections.Comment. Math. Univ. Carolinae 7 (1966), 249-259. MR 0202800 |
| . |
