| 关于σ-有限测度乘积Loeb空间上集合泛可测性的若干结果 |
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| 引用本文： | 辛彩婷.关于σ-有限测度乘积Loeb空间上集合泛可测性的若干结果[J].济宁师范专科学校学报,2011(6):72-75. |
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| 作者姓名： | 辛彩婷 |
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| 作者单位： | 济宁学院数学系,山东曲阜273155 |
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| 摘 要： | 在非标准饱和模型下将有限测度的泛Loeb测度推广到了σ-有限测度的泛Loeb测度，并将有限测度的乘积泛Loeb测度推广到σ-有限测度乘积空间上讨论，得到若干σ-有限测度空间的乘积泛Loeb可测集的性质．
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| 关 键 词： | σ-有限测度 Loeb测度 泛Loeb测度 乘积泛Loeb测度 |
Some Result of the Universal Loeb - measurability of Sets in σ- finite Measure Product Loeb Space |
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| XIN Caiting.Some Result of the Universal Loeb - measurability of Sets in σ- finite Measure Product Loeb Space[J].Journal of Jining Teachers College,2011(6):72-75. |
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| Authors: | XIN Caiting |
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| Institution: | XIN Caiting (Department of Mathematics, Jining University, Qufu 273155, China) |
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| Abstract: | In the K - saturated nonstandard models, the definition of the universal Loeb - measurability of finite measure is extended to σ- finite measure, and the universal measurability of finite measure in product Loeb space is extended to σ- finite measure product Loeb space. The theories about the universal Loeb - measurability of sets in σ-finite measure product Loeb space is obtainded. |
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| Keywords: | σ-finite measure Loeb measure universal Loeb - measurability product universal Loeb - measurability |
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