摘要
利用拓扑空间上的二元关系R定义了R开集,由R开集引入了R邻域、R闭包、R内部、R隔离等概念,由此定义了R连通空间,给出了它的刻画,并研究了它的一些性质.
Firstly R-open sets I is defined with the binary relation R on a topological space, then the concepts of R-neighborhood, R-closure, R-interior and R-separation etc.are introduced by R-open sets theory. On the basis of these concepts, R-connected spaces are defined and the characteristics of R-connected spaces are given.Its properties are researched at the same time.
出处
《湖南文理学院学报（自然科学版）》
CAS
2010年第1期10-15,共6页
Journal of Hunan University of Arts and Science(Science and Technology)
关键词
拓扑空间
二元关系
R开集
R闭包
R隔离
R连通空间
topological space
binary relation
R-open sets
R-closure
R-separation
R-connected spaces
