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.
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…
Starting with the category of probabilistic approach groups, we show that the category of approach groups can be embedded into the category of probabilistic approach groups as a bicoreflective…
Starting with an approximation space as the underlying structure, we
look at the rough uniformity of a topological rough group. Next, taking L as a
complete residuated lattice, we…