摘要
刘建忠在《反演集合理论及其应用》中提出了反演集合的概念,并在此基础上定义了反演集合的拓扑空间、度量空间.将经典拓扑学中的T0,T1,T2,T3,T4空间及正则和正规空间移植于反演集合的拓扑空间之中,提出了反演T0,T1,T2,T3,T4空间及反演正则和正规空间,并讨论了这些空间的若干性质,丰富了反演集合拓扑空间理论.
In The Theory of Inversion Sets and Its Application,Liu Jianzhong puts forward the concept of inversion sets.And on this basis,he defines the inversion sets of topological spaces,metric spaces.We propose the inversion T0,T1,T2,T3,T4 spaces and inversion canonical and normal spaces by using the classic topology of the T0,T1,T2,T3,T4 spaces and regular spaces and normal spaces transplanted among the inversion sets of topological spaces,and discuss some properties of these spaces and enrich the theory of the topological space inversion sets.
出处
《湖州师范学院学报》
2010年第1期43-47,共5页
Journal of Huzhou University
基金
国家特色专业建设点<数学与应用数学>项目
浙江省新世纪教改项目(yb07109)
关键词
反演拓扑空间
反演集合
分离性公理
inversion topological space
inversion set
separation axiom
