The Relationship Between Boronological Convergence of Net and Topological Convergence of Net

Abstract

In this paper, we study the  convergence of nets in convex  bornological vector space and the  related  concepts  and investigate some properties  of  them. We study the relationship between the convergence net in bornological space and topological space in which we explain the convergence net in bornological space be convergent in topological space. After that we apply the conditions on the contrary  to be valid through the properties which explain that.