超拓扑空间上的相对超分离公理  

Relative supra-separation axiom in supra-topological spaces

作　　者：张国芳[1] 杜春燕 ZHANG Guo-fang;DU Chun-yan(College of Mathematics,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2020年第4期51-53,共3页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11571138)。

摘　　要：研究了超拓扑空间中的相对超分离公理,给出了超拓扑空间中X的子空间Y在X中的几种放置方式,并证明了相对超T2可推出相对超T1;相对超Ti(i=3,4)且相对强超T1可推出相对超Ti-1(i=3,4),给出了例子说明它们的逆关系不成立.The relative supra-separation axioms of supra-topological spaces were studied.Several ways of subspace Y of a supra-topological space X located in X were given,if Y is supra-T2 in X,then Y is supra-T1 in X;Y is supra-Ti(i=3,4)in X and Y is strongly supra-T1,then Y is supra-Ti-1(i=3,4),several examples were given to show that their inverse propositions were not hold.

关 键 词：超拓扑空间 相对超分离公理 相对超Ti(i=1 2 3 4) 相对强超T1 

分 类 号：O189[理学—数学]