Original Articles

A convergence theory for probabilistic metric spaces

Published in: Quaestiones Mathematicae
Volume 38 , issue 4 , 2015 , pages: 587–599

DOI: 10.2989/16073606.2014.981734

Author(s): Gunther Jäger School of Mechanical Engineering, Germany

Keywords: 54E70 , 54A20 , 54E70 , 54A20

Abstract

We develop a theory of probabilistic convergence spaces based on Tardiﬀ’s neighbourhood systems for probabilistic metric spaces. We show that the resulting category is a topological universe and we characterize a subcategory that is isomorphic to the category of probabilistic metric spaces.

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