关于σ-有限测度乘积Loeb空间上集合泛可测性的若干结果  

Some Result of the Universal Loeb-measurability of Sets in σ-finite Measure Product Loeb Space

作　　者：辛彩婷[1] 

机构地区：[1]济宁学院数学系,山东曲阜273155

出　　处：《济宁学院学报》2011年第6期72-75,共4页Journal of Jining University

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.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.

关 键 词：σ-有限测度 LOEB测度 泛Loeb测度 乘积泛Loeb测度 

分 类 号：O141.41[理学—数学]