Stratified LMN-convergence tower groups and their stratified LMN-uniform convergence tower structures by T. M. G. Ahsanullah and Gunther Jaeger
Jaeger, TMG Ahsanullah, Gunther . 2017
If L and M are frames, and N is a quantale, then using stratification mappings between frames, we introduce a category of stratified LMN-convergence tower groups - a topological category. We then prove that every stratified LMN-limit tower group induces a stratified LMN-uniform convergence tower space. Also, we introduce a category of stratified LMN-Cauchy tower groups, and show that the category of strongly normal stratified LMN-limit tower groups, is isomorphic to the category of stratified LMN-Cauchy tower groups. We provide various examples in support of our theories so far developed herein the text.
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 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…