Hausdorff dimension of homogeneous perfect sets

被引:5
|
作者
Jun Wu
机构
[1] Department of Mathematics,
[2] Wuhan University,undefined
来源
Acta Mathematica Hungarica | 2005年 / 107卷
关键词
Hausdorff dimension; homogeneous perfect set;
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学科分类号
摘要
We introduce the notion of homogeneous perfect sets as a generalization of Cantor type sets and determine their exact dimension based on the length of their fundamental intervals and the gaps between them. Some earlier results regarding the dimension of Cantor type sets are shown to be special cases of our main theorem.
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页码:35 / 44
页数:9
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