On approach limit groups and their uniformization by T. M. G. Ahsanullah and Gunther Jaeger
Ahsanullah, T. M. G. . 2014
We discuss the compatibilities between approach limit structures and group structures; present some basic facts, provide several natural examples, and include some characterization theorems. Introducing the notions of approach pre-Cauchy group and approach Cauchy group, we look at the relationship of these notions with approach limit group. In particular, we consider uniformization of approach limit groups.
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…