A convergence theory for probabilistic metric spaces

  • G Jäger
Keywords: Probabilistic metric space, probabilistic convergence space, distance distribution function

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.

Keywords: Probabilistic metric space, probabilistic convergence space, distance distribution function.

Published
2016-08-11
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606