LF拓扑空间的E_(s)-连通性  

E_(s)-connectedness in LF Topological Spaces

作　　者：何琼 王小霞[1] 朱文国 HE Qiong;WANG Xiaoxia;ZHU Wenguo(College of Mathematics and Computer Science,Yan′an Universty,Yan′an 716000,China)

机构地区：[1]延安大学数学与计算机学院,陕西延安716000

出　　处：《云南师范大学学报（自然科学版）》2022年第6期24-28,共5页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：陕西省自然科学基础研究计划资助项目(2018JM1042);国家大学生创新创业训练计划资助项目(S202010719004)。

摘　　要：研究了LF拓扑空间中的E-连通性.首先利用传统隔离集的定义,给出E_(s)-隔离集,进一步给出了E_(s)-连通空间的概念并研究了E_(s)-连通性的等价刻画,其次讨论了LF拓扑空间中E-连通集和连通集之间的关系并举出反例说明,最后研究了E_(s)-连通性的相关性质.In the paper, we researched E_(s)-connectedness in LF topological space.Firstly, E_(s)-isolation set, by using the definition of the tradition isolation methods, raises the concept of E-connected space and the equivalent characterization of E_(s)-connected set is introduced.Secondly, the relationship between the E_(s)-connected set and the connected set is discussed.Finally, the related properties of E-connectivity are studied.

关 键 词：LF拓扑空间 E_(s)集 E_(s)闭集 E_(s)-连通集 E_(s)-隔离集 

分 类 号：O189.1[理学—数学]