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超空间上集值映射的弱δ-连续性
引用本文:吴智. 超空间上集值映射的弱δ-连续性[J]. 太原师范学院学报(自然科学版), 2008, 7(2): 25-27
作者姓名:吴智
作者单位:成都理工大学信患管理学院,四川,成都,610059
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.

关 键 词:拓扑空间  超空间  集值映射  弱连续性  子集网

Weakly Continuity of Set-Valued Mappings on Super-space
Wu Zhi. Weakly Continuity of Set-Valued Mappings on Super-space[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2008, 7(2): 25-27
Authors:Wu Zhi
Affiliation:Wu Zhi (College of Information Management, Chengdu University of Technology,Chengdu 610059,China)
Abstract: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.
Keywords:topological space  super-space  set-valued mapping  weakly δ-continuity  subsets net
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