| 集值映射的可测性与连续性 |
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| 引用本文： | 林一星.集值映射的可测性与连续性[J].数学的实践与认识,2014(1). |
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| 作者姓名： | 林一星 |
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| 作者单位： | 福建省龙岩市高级中学(师范); |
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| 摘 要： | 引进《集D关于集β对于关系《是正常的》这个概念,由两个单值映射组成,再通过取凸包和闭包,构造了可测集值映射、上下半连续集值映射和连续集值映射.
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| 关 键 词： | 可测集值映射 连续集值映射 拟连续测度空间 |
Measurability And Continuity of Set-Valued Mappings |
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| Abstract: | In this paper,we introduce a binary relation 《between two injections from a set D to another set β,called normal,and then using the convex and closed hulls,we construct some measurable(resp,upper or lower semi-continuous,and continuous) setvalued mappings. |
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| Keywords: | measurable set-valued mapping continuous set-valued mapping quasi-continuous measure space |
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