| Title:
|
On half-completion and bicompletion of quasi-metric spaces (English) |
| Author:
|
Alemany, Elena |
| Author:
|
Romaguera, Salvador |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
749-756 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize the quasi-metric spaces which have a quasi-metric half-comp\-le\-tion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable. We also characterize the quasi-metric spaces whose bicompletion is quasi-metric and it is shown that the bicompletion of each quasi-metric compatible with a quasi-metrizable space $X$ is quasi-metric if and only if $X$ is finite. (English) |
| Keyword:
|
quasi-metric |
| Keyword:
|
quasi-uniform |
| Keyword:
|
half-completion |
| Keyword:
|
bicompletion |
| Keyword:
|
uniformly \newline weakly regular |
| MSC:
|
54E15 |
| MSC:
|
54E35 |
| MSC:
|
54E50 |
| idZBL:
|
Zbl 0886.54027 |
| idMR:
|
MR1440705 |
| . |
| Date available:
|
2009-01-08T18:27:40Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118882 |
| . |
| Reference:
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| . |
