(弱)诱导空间的r连通性  

r-CONNECTIVITY IN (WEAK) INDUCED TOPOLOGICAL SPACE

作　　者：惠小静[1] 马保国[2] 李顺琴[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062 [2]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《数学杂志》2007年第5期588-592,共5页Journal of Mathematics

基　　金：延安大学重点学科建设基金资助项目(YDXK-0406)

摘　　要：本文研究了分明拓扑空间与其诱导空间,弱诱导空间与其底空间之间的关系.利用LF-r开集定义了r连通性,得出了弱诱导的LF拓扑空间是r连通的当且仅当其底空间是r连通的,并且分析(弱)诱导空间的结构.The relationships between general topological space and its induced space, weak induced space and its base space are discussed; r-connectivity is defined by use of LF-r open set. It is obtained that a weak induced space is r-connected iff its base space is r-connected. These provide a convenient way for analysis of the structure of （weak） induced space.

关 键 词：LF拓扑空间 LF—r开集 r连通性 (弱)诱导空间 

分 类 号：O189.1[理学—数学]