On n-Convergence of Filters

Abstract

      In this work, we have present a new form of sets named - open sets. We have study and described some of the properties and  relationships between these sets. We have obtained some results and relationships between by the theories inferring through the style set (n-open). Furthermore, we presented an analysis of the classes  of convergence in topological spaces. We called it a name n convergence of filters beneficiaries of the idea of -open sets and its  possibilities of - cluster point of filters has been studied.