Ordered probabilistic metric spaces

Journal of the Australian Mathematical Society

D. C. Kent¹ 

[1] G. D. Richardson

关键词: 54 A 05;    54 A 20;    60 A 05;   

DOI  :  10.1017/S1446788700030391

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Probabilistic quasi-metric spaces are introduced and used to define ordered probabilistic metric spaces. The latter spaces arise naturally in the study of probability and statistics; they closely resemble the uniform ordered spaces of L. Nachbin. A procedure is described for constructing ordered probabilistic metric spaces from quasi-simple spaces, and a completions theory is developed simultaneously for probabilistic quasi-metric spaces and ordered probabilistic metric spaces.

【 授权许可】

Unknown