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T M G Ahsanullah

Professor

Professor

كلية العلوم
Department of Mathematics, Building 4, Room No. 2B 80
publication
Journal Article
2021

Quantale-valued Cauchy tower spaces and completeness by Gunther Jaeger and T. M. G. Ahsanullah

Jaeger, Gunther . 2021

Generalizing the concept of a probabilistic cauchy space, we introduce quantale-valued Cauchy tower  spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and quantale-valued convergence tower groups. For special choices of the quantale, classical and probabilistic metric spaces are covered  and probabilistic and approach Cauchy spaces arise. We also study completeness and completion in this setting and establish a connection to the Cauchy completeness of a quantale-valued metric space.

Publication Work Type
Original Research Article
Volume Number
22
Issue Number
2
Magazine \ Newspaper
Journal of Applied and General Topology
Pages
461 to 481
more of publication
publications

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…

by T. M. G. Ahsanullah and Gunther Jaeger
2024
publications

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…

by T M G Ahsanullah, Fawzi Al-Thukair and Bhamini Nayar
2023
publications

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…

by T M G Ahsanullah
2022
Published in:
Journal of Intelligent and Fuzzy Systems