数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 21-25.

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集值映射空间上的自然映射

  

  1. 1. School of Sciences, Hangzhou Normal University2. Library, Hangzhou Normal University

  • 收稿日期:2007-04-16 出版日期:2011-03-30 发布日期:2023-05-09
  • 作者简介:LI Zu-quan(1963- ), male, native of Huaide, Jilin, a professor of Hangzhou Normal University, engages in general topology.
  • 基金资助:
     Supported by the Science Foundation of Hangzhou Normal University(02010180);

Natural Mappings on Set-valued Mapping Spaces

  1. 1. School of Sciences, Hangzhou Normal University2. Library, Hangzhou Normal University
  • Received:2007-04-16 Online:2011-03-30 Published:2023-05-09
  • About author:LI Zu-quan(1963- ), male, native of Huaide, Jilin, a professor of Hangzhou Normal University, engages in general topology.
  • Supported by:
     Supported by the Science Foundation of Hangzhou Normal University(02010180);

摘要: In this paper, we discuss the continuities of some natural mappings on point compact continuous set-valued mapping spaces with compact-open topology and obtain the properties of set-valued injective mappings, set-valued diagonal mappings, induced mappings, set-valued evaluation mappings, set-valued topological sum mappings and set-valued topological product mappings.

关键词: set-valued mapping, compact-open topology, natural mapping

Abstract: In this paper, we discuss the continuities of some natural mappings on point compact continuous set-valued mapping spaces with compact-open topology and obtain the properties of set-valued injective mappings, set-valued diagonal mappings, induced mappings, set-valued evaluation mappings, set-valued topological sum mappings and set-valued topological product mappings.

Key words: set-valued mapping, compact-open topology, natural mapping

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