| Lebesgue测度性质的一个注记 |
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| 引用本文： | 冯再勇. Lebesgue测度性质的一个注记[J]. 高师理科学刊, 2012, 0(2): 27-28 |
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| 作者姓名： | 冯再勇 |
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| 作者单位： | 南京铁道职业技术学院社会科学部 |
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| 基金项目： | 南京铁道职业技术学院2011年院级课题项目(Y201132) |
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| 摘 要： | 结合Lebesgue外测度的性质,以极限为工具,将教材中Lebesgue测度的一个性质从有限情形推广到可列无限情形.并举例说明,推广后的性质可以为简化Lebesgue测度其他性质的证明提供有效手段.
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| 关 键 词： | Lebesgue测度 外测度 可列可加性 |
A note on the properties of Lebesgue measure |
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| FENG Zai-yong. A note on the properties of Lebesgue measure[J]. Journal of Science of Teachers＇College and University, 2012, 0(2): 27-28 |
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| Authors: | FENG Zai-yong |
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| Affiliation: | FENG Zai-yong(Department of Social Science,Nanjing Institute of Railway Technology,Nanjing 210015,China) |
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| Abstract: | Combining the properties of Lebesgue outer measure with the tools of limit,generalized one property of Lebesgue measure from finit sets to countable sets.In the end,an example showed that the generalized property provided us an effective way to prove other properties of Lebesgue measure. |
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| Keywords: | Lebesgue measure outer measure countable additivity |
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