拓扑空间的θ-分离性  

θ-Separation On General Topology

作　　者：许兆龙[1] 苏淑华[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《江西教育学院学报》2007年第6期1-3,9,共4页Journal of Jiangxi Institute of Education

摘　　要：利用θ-开集引入了拓扑空间的θ-Ti(i=0,1,2,3,4)分离性概念,给出了它们的刻画,证明了它们都是θ-拓扑性质和拓扑性质,它们与T分离性的关系为:In this paper θ-Ti （i=0,1,2,3,4）separation concepts on general topology are introduced by θ-open sets, Characterizations of them are given. It is proved that they are θ-topological and topological properties. It is proved that relation between θ-Ti separation and T separation are： θ-T4→θ-T3→θ-T2→θ-T1→θ-T0 ↓↓↓↓ T4→T3→T2→T1→T0

关 键 词：θ-开集 θ-拓扑空间 θ-Ti(i=0 1 2 3 4)分离性 θ-拓扑性质 

分 类 号：O189.11[理学—数学] O153[理学—基础数学]