| 不可测集的性质 |
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| 引用本文： | 孙秀红,李愿. 不可测集的性质[J]. 陕西师范大学学报(自然科学版), 2008, 0(Z2) |
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| 作者姓名： | 孙秀红 李愿 |
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| 作者单位： | 西安科技大学理学院;陕西师范大学数学与信息科学学院; |
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| 摘 要： | 研究了不可测集的性质:如果一列互不相交的集合并集的外测度小于外测度的和,则其中至少有两个是不可测集。通过具体例子说明:存在一列互不相交的不可测集使得它们并集的外测度小于外测度的和。
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| 关 键 词： | Lebsegue可测集 外测度 可数可加性 |
Some properties of unmeasurable sets |
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| SUN Xiu-hong,LI Yuan. Some properties of unmeasurable sets[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2008, 0(Z2) |
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| Authors: | SUN Xiu-hong LI Yuan |
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| Affiliation: | SUN Xiu-hong,LI Yuan (1 College of Science,Xi'an University of Science , Technology,Xi'an 710054,Shaanxi,China,2 College of Mathematics , Information Science,Shaanxi Normal University,Xi'an 710062,China) |
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| Abstract: | Some properties of unmeasurable sets are studied.It is shown if the outer measune of a countable union of disjoint sets is less than the sum of the outer measures of these sets,then there exist at least two sets of them which are unmeasurable.A example is given for this conclusion. |
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| Keywords: | Lebsegue measurability set outer measures countable sum property |
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