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Quaestiones Mathematicae

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A convergence theory for probabilistic metric spaces

G Jäger

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.




http://dx.doi.org/10.2989/16073606.2014.981734
AJOL African Journals Online