| Title:
|
A representation theorem for probabilistic metric spaces in general (English) |
| Author:
|
Liu, Mingxue |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
551-554 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we present a representation theorem for probabilistic metric spaces in general. (English) |
| Keyword:
|
probabilistic metric space |
| MSC:
|
03E72 |
| MSC:
|
54E70 |
| idZBL:
|
Zbl 1079.54517 |
| idMR:
|
MR1777476 |
| . |
| Date available:
|
2009-09-24T10:35:34Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127592 |
| . |
| Reference:
|
[MSS] K. Menger, B. Schweizer, A. Sklar: On probabilistic metrics and numerical metrics with probability 1.Czechoslovak Math. J. 9(84) (1959), 459–466. MR 0110052 |
| Reference:
|
[MN] B. Morrel, J. Nagata: Statistical metric spaces as related to topological spaces.Gen. Topology Appl. 9 (1978), 233–237. MR 0510904, 10.1016/0016-660X(78)90026-0 |
| Reference:
|
[Sh] H. Sherwood: On E spaces and their relation to other classes of probabilistic metric spaces.J. London Math. Soc. 44 (1969), 441–448. Zbl 0167.46202, MR 0240845, 10.1112/jlms/s1-44.1.441 |
| Reference:
|
[ST] H. Sherwood, M. D. Taylor: Some PM structures on the set of distribution functions.Rev. Roumaine Math. Pures Appl. 10 (1974), 1251–1260. MR 0380922 |
| Reference:
|
[St] R.Stevens: Metrically generated probabilistic metric spaces.Fund. Math. 61 (1968), 259–269. Zbl 0175.46504, MR 0250353 |
| . |
