Some Properties Of M_x-Λ (resp. M_x-v) Sets And Its applications

摘要

The aim of this paper is to introduce a new concept of m_x-Λ set and m_x-V set in ordinary topological space, which are a generalized form of m_x-open set and m_x-closed set respectively. Some characterization theorems and properties are studied. We investigate the topologies defined by these families of sets. Particularly, our study is to show that most of the earlier defined types of Λ-sets form Alexandroff spaces. Such as pre - Λ set, pre - V set, semi pre Λ - set, semi pre - V set, Λ_m set etc defined in the Journal of Acta Math Hungar (2002) (2004) (2005) form Alexandroff spaces in ordinary topology, but the set defined in this paper forms a supra topological space. Some of the applications of the defined supra topological space is also shown in this.paper.