| 集函数的广σ加性与广连续性 |
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| 引用本文： | 赵玉怀.集函数的广σ加性与广连续性[J].陕西师范大学学报,1998(Z1). |
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| 作者姓名： | 赵玉怀 |
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| 作者单位： | 榆林高等专科学校数学系 |
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| 基金项目： | 陕西省教委重点学科建设项目 |
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| 摘 要： | 将测度论中集函数的σ加性和上、下连续性推广为广σ加性和广上、下连续性，减弱了原来命题的条件，得到了σ可加性公理的四个新的等价条件
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| 关 键 词： | 集函数 广σ加性 广连续性 |
Generalized sigma additivity and continuity of set function |
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| Zhao Yuhuai.Generalized sigma additivity and continuity of set function[J].Journal of Shaanxi Normal University: Nat Sci Ed,1998(Z1). |
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| Authors: | Zhao Yuhuai |
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| Abstract: | The sigma additivity and continuity from above and below of the set function can be extended. The original proposition condition can be weakened and four new equivalent conditions of additivity axiom can be obtained. |
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| Keywords: | set function sigma additivity generalized continuity |
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