| Henson定理的推广及其应用 |
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| 引用本文： | 师东河.Henson定理的推广及其应用[J].陕西师范大学学报,1991(2). |
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| 作者姓名： | 师东河 |
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| 作者单位： | 陕西师大计算机科学系 |
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| 摘 要： | 关于拓扑空间上的Baire集、Borel集在标准部分映射下的逆像何时是Loeb可测集,文1,2]都进行了研究。特别地,在1]中C.W.Henson证明了这样一个重要结论,写成以下定理: 定理1 设X是完全正则的T_2空间,A*X,A是内集,St_x(A)=X,那么对任意SX,以下条件等价
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| 关 键 词： | Loeb measure Baire σ-algebra Borel σ-algebra the standard part map Radon space |
Generalization of Henson theorem and its applications |
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| Shi Donghe.Generalization of Henson theorem and its applications[J].Journal of Shaanxi Normal University: Nat Sci Ed,1991(2). |
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| Authors: | Shi Donghe |
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| Institution: | Department of Computer Science |
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| Abstract: | The Henson theorem is ganeralized in 1]. By the generalized Henson theorem, Loeb measures and the standard part map, very extensive image measures compared with image measures under Henson theorem on some topology spaces are definedThe characterization of Radon spaces on completely regular Hausdorff spaces and on compact the second countable Hausdorff spaces are given. |
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