| Title:
|
On simple recognizing of bounded sets (English) |
| Author:
|
Hejcman, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
149-156 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric. (English) |
| Keyword:
|
uniform space |
| Keyword:
|
commutative topological group |
| Keyword:
|
bounded set |
| Keyword:
|
B-conservative space |
| Keyword:
|
uniform partition |
| MSC:
|
22A05 |
| MSC:
|
54E15 |
| MSC:
|
54E35 |
| MSC:
|
54H11 |
| idZBL:
|
Zbl 0886.54025 |
| idMR:
|
MR1455478 |
| . |
| Date available:
|
2009-01-08T18:29:43Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118910 |
| . |
| Reference:
|
[1] Atkin C.J.: Boundedness in uniform spaces, topological groups, and homogeneous spaces.Acta Math. Hung. 57 (1991), 213-232. Zbl 0753.54010, MR 1139315 |
| Reference:
|
[2] Hejcman J.: Boundedness in uniform spaces and topological groups.Czechoslovak Math. Journal 9 (84) (1959), 544-563. Zbl 0132.18202, MR 0141075 |
| Reference:
|
[3] Hejcman J.: On conservative uniform spaces.Comment. Math. Univ. Carolinae 7 (1966), 411-417. Zbl 0141.20504, MR 0202107 |
| Reference:
|
[4] Hejcman J.: Boundedness and weak boundedness in topological vector groups.Topics in Topology (Proc. Coll. Budapest, 1978), pp. 591-605, Colloq. Math. Soc. János Bolyai, vol. 23, North-Holland, Amsterdam, 1980. Zbl 0443.46051, MR 0588808 |
| Reference:
|
[5] Kelley J.L.: General Topology.Van Nostrand, New York, 1955. Zbl 0518.54001, MR 0070144 |
| . |
