On The M-structure Separability And (M ₁ 2 ) - Continuous Mapping

Topological structure occupies an important position in the study of topology,M-structure is a topological structure. Let X be a nonempty set and M. its power set. M satisfying the following condi-tions （1） （?）∈M, X∈M; （2） If G1∈M,G₂∈M,then G₁∩G₂∈M, then M is the M-structure of X. In our paper, we study the separa-tion properties of M-structure. Furthermore, we study the properties of （M₁,M₂）-continuous mapping.In Chapter 1, we introduce the definition and the background of M-structure, at the same time, we give the necessary symbols and preliminaries which are used in this paper.In Chapter 2, we give the definitions of M-T₀ space、M-T₁s-pace、M-T₂ space、M-T₃ space、M-T4 space、M-D₀ space、M-D₁ space、M-D₂ space、M-R0 space and M-R₁ space. Further-more, we study their topological propertiesIn Chapter 3, we give the definitions of （M₁,M₂）-continuous map-ping. Furthermore, we study the properties of （M₁,M₂）-continuous mapping, we also study the relationship bettween （M₁,M₂）-continuous mapping and separation properties.