| 全有限连续测度扩张 |
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| 引用本文： | 彭祖赠. 全有限连续测度扩张[J]. 武汉大学学报(工学版), 1991, 0(4) |
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| 作者姓名： | 彭祖赠 |
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| 作者单位： | 武汉水利电力学院基础科学系 |
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| 摘 要： | 设A_0■P(U)是U的子集类。且对任意A,B ∈A_0,A ∩B,A ∪B ∈A_0,μ_0是A_0上全有限连续测度,M(A_0)是包含A_0的最小单调类。本文给出了μ_0可以扩张到M(A_0)上的充要条件,证明了扩张的唯一性。
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| 关 键 词： | 全有限连续测度 单调类 测度扩张 序数 |
Extension of Totally Finite Continuous Measure |
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| Peng Zuzeng. Extension of Totally Finite Continuous Measure[J]. Engineering Journal of Wuhan University, 1991, 0(4) |
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| Authors: | Peng Zuzeng |
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| Affiliation: | Peng Zuzeng |
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| Abstract: | Suppose that A_0■P (U) is any class of subses, of U and if A, B∈A_0 then A∩B, A∪B, ∈A_0, μ_0 is a to tally finite continuous measure on A_0, M(A_0) is the smallest monotone class containing A_0o This paper gives necessary and sufficient conditions of extending the μ_0 on A_0 to the M(A_0) and shows that the extension is unique. |
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| Keywords: | totally finite continuous measure monotone class extension of measure ordinal number. |
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