| Title:
|
A generalization of boundedly compact metric spaces (English) |
| Author:
|
Beer, Gerald |
| Author:
|
Di Concilio, Anna |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
361-367 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A metric space $\langle X,d\rangle$ is called a $\operatorname{UC}$ space provided each continuous function on $X$ into a metric target space is uniformly continuous. We introduce a class of metric spaces that play, relative to the boundedly compact metric spaces, the same role that $\operatorname{UC}$ spaces play relative to the compact metric spaces. (English) |
| Keyword:
|
$\operatorname{UC}$ space |
| Keyword:
|
boundedly $\operatorname{UC}$ space |
| Keyword:
|
boundedly compact space |
| Keyword:
|
Atsuji space |
| Keyword:
|
uniform continuity on bounded sets |
| Keyword:
|
topology of uniform convergence on bounded sets |
| Keyword:
|
Attouch--Wets topology |
| MSC:
|
54B20 |
| MSC:
|
54C35 |
| MSC:
|
54E15 |
| MSC:
|
54E45 |
| idZBL:
|
Zbl 0766.54028 |
| idMR:
|
MR1137797 |
| . |
| Date available:
|
2009-01-08T17:44:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116977 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
