Minimal Structure Bm Open Sets And BM- Continuous Mapping Studies

V. Popa and T. Noiri introduced the notion of minimal structure on a given nonempty set. In this paper, we introduce the notion of bm-open sets defined on minimal structures and investigate some properties. At the same time, we give the notions of new mappings defined between minimal structures by bm-open sets. The properties and the relationships are investigated. More precisely,In Chapter1, we introduce the background of minimal structures and necessary symbols and preliminaries which are used in this paper.In Chapter2, we give the definition of bm-open set and study the properties of bm-open sets. We also define the bM-continuous mappings by bm-open sets and study the properties of bM-continuous mappings.In Chapter3, we give the definitions of weakly bM-continuous mappings and θ-bM-continuous mappings defined by bm-open sets, and study their properties. At the same time, the relationship be-tween bM-continuous mappings and them are studied.