Generalized Uniform Structures in L-topology.

      Аннотация: 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.

Ключевые слова: Compact, Complete, L-topology, stratified L-topology, L-semi-quasi-uniformity, L-semii-uniformity, L-local-quasi-uniformity, L-local-uniformity, L-semi-pseudo-metrizability, Cauchy filter, totally bounded, Cauchy ultrafilter