| Title:
|
The category of uniform spaces as a completion of the category of metric spaces (English) |
| Author:
|
Adámek, Jiří |
| Author:
|
Reiterman, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
689-693 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A criterion for the existence of an initial completion of a concrete category $\bold K$ universal w.r.t\. finite products and subobjects is presented. For $\bold K=$ metric spaces and uniformly continuous maps this completion is the category of uniform spaces. (English) |
| Keyword:
|
universal completion |
| Keyword:
|
metric space |
| Keyword:
|
uniform space |
| MSC:
|
18A32 |
| MSC:
|
18A35 |
| MSC:
|
54B30 |
| MSC:
|
54E15 |
| MSC:
|
54E35 |
| idZBL:
|
Zbl 0804.18001 |
| idMR:
|
MR1240190 |
| . |
| Date available:
|
2009-01-08T17:59:44Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118540 |
| . |
| Reference:
|
[A] Adámek J.: Theory of Mathematical Structures.Reidel Publ. Comp., Dordrecht, 1983. MR 0735079 |
| Reference:
|
[AHS] Adámek J., Herrlich H., Strecker G.E.: Least and largest initial completion.Comment. Math. Univ. Carolinae 20 (1979), 43-75. MR 0526147 |
| Reference:
|
[C] Čech E.: Topological Spaces.Academia Prague, 1966. MR 0211373 |
| Reference:
|
[E] Ehersmann A.E.: Partial completions of concrete functors.Cahiers Topo. Géom. Diff. 22 (1981), 315-328. MR 0649079 |
| Reference:
|
[H] Herrlich H.: Initial completions.Math. Z. 150 (1976), 101-110. Zbl 0319.18001, MR 0437614 |
| Reference:
|
[PRRS] Pelant J., Reiterman J., Rödl V., Simon P.: Ultrafilters on $ømega $ and atoms in the lattice of uniformities I.Topology and Appl. 30 (1988), 1-17. MR 0964058 |
| . |
