| Title:
|
Cartesian closed hull for (quasi-)metric spaces (revisited) (English) |
| Author:
|
Nauwelaerts, Mark |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
559-573 |
| . |
| Category:
|
math |
| . |
| Summary:
|
An existing description of the cartesian closed topological hull of $p\text{\bf MET}^\infty$, the category of extended pseudo-metric spaces and nonexpansive maps, is simplified, and as a result, this hull is shown to be a special instance of a ``family'' of cartesian closed topological subconstructs of $pqs\text{\bf MET}^\infty$, the category of extended pseudo-quasi-semi-metric spaces (also known as quasi-distance spaces) and nonexpansive maps. Furthermore, another special instance of this family yields the cartesian closed topological hull of $pq\text{\bf MET}^\infty$, the category of extended pseudo-quasi-metric spaces and nonexpansive maps (which has recently gained interest in theoretical computer science), and this hull is also shown to be a nice generalization of $\text{\bf Prost}$, the category of preordered spaces and relation preserving maps. (English) |
| Keyword:
|
(extended) pseudo-(quasi-)metric space |
| Keyword:
|
(quasi-)distance space |
| Keyword:
|
preordered space |
| Keyword:
|
demi-(quasi-)metric space |
| Keyword:
|
cartesian closed topological |
| Keyword:
|
CCT hull |
| MSC:
|
18B99 |
| MSC:
|
18D15 |
| MSC:
|
54C35 |
| MSC:
|
54E99 |
| idZBL:
|
Zbl 1034.18008 |
| idMR:
|
MR1795085 |
| . |
| Date available:
|
2009-01-08T19:05:04Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119189 |
| . |
| Reference:
|
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| . |
