| S集的不可测性 |
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| 引用本文： | 杨华,;蒋永红.S集的不可测性[J].中南民族学院学报(自然科学版),2009(4):115-117. |
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| 作者姓名： | 杨华 ;蒋永红 |
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| 作者单位： | [1]武汉工业学院数理系,武汉430023; [2]中南民族大学预科教育学院,武汉430074 |
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| 基金项目： | 武汉工业学院校基金资助项目（08Q33 06D19）; 中南民族大学科研基金资助项目（YSQ06007） |
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| 摘 要： | 指出了对于Rn中一些集合的Minkowski维数,已经得到了一些令人满意的结果,但是对于与此密切相关的Minkowski容度,所得到的结果还相当的不完善.通过自相似集合的分形性质准确地计算出了二维空间上S集的上Minkowski容度和下Minkowski容度,得到了它是Minkowski不可测的结果.
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| 关 键 词： | 容度 维数 不可测 |
Immeasurability of the Set S |
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| Institution: | Yang Hua,Jiang Yonghong(1 Dept of Math,Wuhan Polytechnic University,Wuhan 430023,China;2 School of Preliminary Education,South-Central University for Nationalities,Wuhan 430074,China) |
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| Abstract: | Some good results were already obtained for the Minkowski dimension of some sets in Rn.But some results of the Minkowski contents of the sets are not very perfect.This paper starts from the geometric properties of self-similar sets,obtains that the fractal set S is not Minkowski measurable by elementary methods.This method is accepted easily. |
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| Keywords: | content dimension immeasurable |
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