In this manuscript, we take up the problem of several generalization of uniform spaces in the categories of fuzzy topological spaces. This includes the development of the notions of semi-uniformity, semi-quasi-uniformity and the study of localization of uniform and quasi-uniform structures in the same setting. Further, various important topological notions such as compactness, totally boundedness and convergence structures have been taken up. The pseudo-metrization problem has also been taken up in the context of these generalized forms of uniform structures.

Autorentext

Dipak Kumar Mitra received his Ph. D. in Mathematical Sciences from Tezpur University, India under the supervision of Prof. D. Hazarika. After spending a few times as a faculty in an undergraduate college, he has now working as an Assistant Professor in the Dept. of Mathematical Sciences at Bodoland University, India.