Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence by Gunther Jaeger and T. M. G. Ahsanullah
Jaeger, Gunther . 2018
We identify two categories of quantale-valued convergence tower
spaces that are isomorphic to the categories of quantale-valued metric spaces
and quantale-valued partial metric spaces, respectively. As an application we
state a quantale-valued metrization theorem for quantale-valued convergence
tower 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…