A representation theorem for probabilistic metric spaces in general
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 551-554 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper, we present a representation theorem for probabilistic metric spaces in general.
In this paper, we present a representation theorem for probabilistic metric spaces in general.
Classification : 03E72, 54E70
Keywords: probabilistic metric space
@article{CMJ_2000_50_3_a8,
     author = {Liu, Mingxue},
     title = {A representation theorem for probabilistic metric spaces in general},
     journal = {Czechoslovak Mathematical Journal},
     pages = {551--554},
     year = {2000},
     volume = {50},
     number = {3},
     mrnumber = {1777476},
     zbl = {1079.54517},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2000_50_3_a8/}
}
TY  - JOUR
AU  - Liu, Mingxue
TI  - A representation theorem for probabilistic metric spaces in general
JO  - Czechoslovak Mathematical Journal
PY  - 2000
SP  - 551
EP  - 554
VL  - 50
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMJ_2000_50_3_a8/
LA  - en
ID  - CMJ_2000_50_3_a8
ER  - 
%0 Journal Article
%A Liu, Mingxue
%T A representation theorem for probabilistic metric spaces in general
%J Czechoslovak Mathematical Journal
%D 2000
%P 551-554
%V 50
%N 3
%U http://geodesic.mathdoc.fr/item/CMJ_2000_50_3_a8/
%G en
%F CMJ_2000_50_3_a8
Liu, Mingxue. A representation theorem for probabilistic metric spaces in general. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 551-554. http://geodesic.mathdoc.fr/item/CMJ_2000_50_3_a8/

[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

[MN] B. Morrel, J. Nagata: Statistical metric spaces as related to topological spaces. Gen. Topology Appl. 9 (1978), 233–237. | DOI | MR

[Sh] H. Sherwood: On E spaces and their relation to other classes of probabilistic metric spaces. J. London Math. Soc. 44 (1969), 441–448. | DOI | MR | Zbl

[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

[St] R.Stevens: Metrically generated probabilistic metric spaces. Fund. Math. 61 (1968), 259–269. | MR | Zbl