孙荣.Hausdorff空间Borel σ-代数上的集值集函数的Alexandroff 型定理[J].重庆工商大学学报（自然科学版）,2020,37(3):75-80
SUN Rong.The Alexandroff Type Theorem for Set Multifunctions Defined on a Borel σ-algebra of Hausdorff Space[J].Journal of Chongqing Technology and Business University(Natural Science Edition）,2020,37(3):75-80 |
| Hausdorff空间Borel σ-代数上的集值集函数的Alexandroff 型定理 |
| The Alexandroff Type Theorem for Set Multifunctions Defined on a Borel σ-algebra of Hausdorff Space |
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| DOI： |
| 中文关键词: 集值集函数 Hausdorff空间 Alexandroff型定理 紧系 抽象正则 |
| 英文关键词:set multifunction Hausdroff Space Alexandroff type theorem compact system abstract regularity |
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| 摘要点击次数: 210 |
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| 中文摘要: |
| 在比Gavrilut等学者提出的更为广义的紧致条件的基础上，进一步研究了集值集函数的抽象正则性，研究了抽象正则性与连续性等性质之间的关系，以及在局部紧第二可数Hausdorff空间Borel σ 代数上的集值集函数的Alexandroff型定理。 |
| 英文摘要: |
| In this paper,based on more generalized compactness condition than A.C. Gavrilut，we further a previous study concerning abstract regularity for set multifunction, we also study the relationships among abstract regularities and other properties of continuity,some Alexandroff type theorems of set multifunctions defined on the Borel σ algebra of a locally compact second countable Hausdorff space are obtained. |
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