Minimal Research On The Structure And Set Mα- Continuous Mapping Mα- Open

V. Popa and T. Noiri defined minimal structure which is a gener-alization of a topology on a nonempty set. They introduced m-open set, m-semiopen set, ma-open set and studied their topological prop-erties. In our paper, we continue to study the properties of ma-open set. At the same time, we study the properties of some mappings defined by using ma-open set. More precisely,In Chapter1, we introduce necessary symbols and preliminaries which are used in this paper.In Chapter2, we give the definitions of the boundary of ma-open set, ma-derived set and so on, and study their topological properties and some mappings defined by using ma-open sets.In Chapter3, we give the definition of Ma-continuous mappings which are from minimal structure to minimal structure, and study their properties. We discuss weakly axioms of separation that defined on ma-open set.