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.
出处
《数学杂志》
CSCD
北大核心
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)
