Title

Ordered Probabilistic Metric-Spaces

Comments

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Abbreviated Journal Title

J. Aust. Math. Soc. A-Pure Math. Stat.

Keywords

Mathematics; Statistics & Probability; Uniform Space; Cauchy Filter

Abstract

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.

Journal Title

Journal of the Australian Mathematical Society Series a-Pure Mathematics and Statistics

Volume

46

Publication Date

1-1-1989

Document Type

Article

Language

English

First Page

88

Last Page

99

WOS Identifier

WOS:A1989R943500006

ISSN

0263-6115

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