Generalized quasi-uniformity in terms of covers

Abstract

Recently g-quasi uniformity has been introduced, and in the literature there al- ready is the notion of strong quasi-uniform cover for quasi-uniform spaces. Here in this paper we generalize the notion of strong quasi-uniform cover to study g-quasi uniformity in terms of it. As applications, we also formulate some g-topological concepts via this new type of cover.

Keywords

• g-quasi uniformity
• strong g-quasi uniform cover
• g-topological properties.