关于“线性空间中集合相对内部性质成立的条件”注记 |
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引用本文: | 晏妮.关于“线性空间中集合相对内部性质成立的条件”注记[J].毕节学院学报,2016(2):144-149. |
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作者姓名: | 晏妮 |
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作者单位: | 贵州工程应用技术学院理学院,贵州 毕节,551700 |
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摘 要: | 指出“线性空间中集合相对内部性质成立的条件”中的命题4是错误的,并以Banach空间和连续函数空间中的例子说明闭集的仿射包不一定是闭集。
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关 键 词: | 闭集 闭包 仿射包 空间 收敛 相对拓扑内部 |
Notes on Conditions Assuring Properties of the Relative Interior of Sets in a Linear Space |
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Abstract: | This paper notices that the Proposition4 of the paper conditions assuring properties of the rela?tive interior of sets in a linear space is incorrect,and examples of Banach space and the continuous function space in this article illustrating that closed aggregate's affine hull is not necessarily a closed aggregate . |
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Keywords: | Closed Aggregate Closure Affine Hull Space Convergent Sequence Relative Topological Interior |
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