Probabilistic uniform convergence spaces redefined by T. M. G. Ahsanullah and Gunther Jaeger
Ahsanullah, T. M. G. . 2015
We develop a theory of probabilistic uniform convergence spaces based on Tardiff"s neighborhood systems for probabilistic metric spaces. We show that the resulting category is topological and Cartesian closed. A subcategory is idenified that is isomorphic to the category of probabilistic metric spaces.
In this paper, we present several characterizations on approach groups, and ultra-approach groups. In doing so, we first give necessary and sufficient conditions for an approach structure to be…
Introducing the notion of probabilistic convergence ring, and probabilistic limit ring, our motivations among others are, to focus at two vital issues, such as, (a) to provide characterization…