摘要
文章在超空间上引入了弱δ-连续集值映射等概念,以拓扑空间上的正则开(闭)集,θ-开(闭)集和δ-开(闭)集为基础得到了这种集值映射的几个等价关系,并给出了子集网的应用.
The concepts of weaklyδ-continuous set-valued mappings on super-spaces are introduced. On the basis of regular open (closed)sets,θ-open (closed)sets and δ-open (closed)setsin general topological spaces, some equivalent relations of this kind of set-valued mappings are obtained and some applications of subset-nets are given.
出处
《太原师范学院学报(自然科学版)》
2008年第2期25-27,50,共4页
Journal of Taiyuan Normal University:Natural Science Edition
关键词
拓扑空间
超空间
集值映射
弱连续性
子集网
topological space
super-space
set-valued mapping
weakly δ-continuity
subsets net