| 泛Loeb可测集的S-饱和性 |
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| 引用本文： | 祁明.泛Loeb可测集的S-饱和性[J].陕西师范大学学报,1992(2). |
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| 作者姓名： | 祁明 |
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| 作者单位： | 陕西师大计算机科学系 |
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| 摘 要： | 在 K-饱和的非标准模型中,研究了泛 Loeb 可测集 m(A),pns(~*X),cpt(~*X),fin(~*X),ns(~*X)的 S-饱和性.当 A 是紧致 Hausdorff 空间 X 的子集时,得到了 st~(-1)(A)是标准集的充分条件.
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| 关 键 词： | 非标准分析 非标准模型 标准部分映射 |
S-saturation of universally Loeb-measurable sets |
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| Qi Ming.S-saturation of universally Loeb-measurable sets[J].Journal of Shaanxi Normal University: Nat Sci Ed,1992(2). |
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| Authors: | Qi Ming |
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| Institution: | Department of Computer Science |
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| Abstract: | It is shown that in a k-saturated nonstandard modcl,each of the following universally Loeb-measurable sets is S-saturated:m(A),ns(X),pns(X),cpt(X),fin(X).When X is compact Hausdorff space and AX,a necessary and sufficient condition of st~(-1)(A) being a standard set is obtained. |
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| Keywords: | nonstandard analysis nonstandard model standard part map |
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