介于T5与T6空间之间的拓扑空间  

The topological space situated between T5 and T6

作　　者：金渝光[1] 罗飞 高瑾[1] JIN Yuguang;LUO Fei;GAO Jin(School of Mathematics,Chongqing Normal University,Chongqing 400047,China;School of Mathematics and Statistics,Sichuan University of Science and Engineering,Zigong 643000,China)

机构地区：[1]重庆师范大学数学学院,重庆400047 [2]四川理工学院数学与统计学院,四川自贡643000

出　　处：《安徽大学学报（自然科学版）》2019年第1期16-19,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11471061);重庆高校创新团队建设计划资助项目(KJPB201308);桥梁无损检测与工程计算四川省高校重点实验室开放基金项目(2018QYJ02)

摘　　要：在分离性公理“T0,T1/2,T1,T11/2,T2,T21/2,T3,T31/2,T4,T5,T6具有关系:T6=>T5=>T4=>T31/2=>T3=>T23/4=>T21/2=>T2=>T11/2=>T1=>T1/2=>T0,反之不成立”的基础上,从定义出发,引进T5/2拓扑空间:研究了“T6=>T51/2=>T51/2=>T5”,并给出两个反例.证明了T51/2空间的一些性质,使分离性公理更加完善."There were separable property axiom T0,T1/2,T1,T11/2,T2,T21/2,T3,T31/2,T4,T5,T6 with relation toT6=>T5=>T4=>T31/2=>T3=>T23/4=>T21/2=>T2=>T11/2=>T1=>T1/2=>T0, otherwise it didn't".On the basis of the axiom,introduced the definition of T51/2,used transfusion the equivalence of continuous function,discussed "T6=>T51/2=>T5",proved some properties on T51/2 space,so it made more perfect separable property axiom.

关 键 词：分离性公理 完全正规 完备正规 拟完备正规 

分 类 号：O189.1[理学—数学]