Lipschitz equivalence of self-similar sets with triangular pattern

被引：0
|
作者：
ZhiYong Zhu
Ying Xiong
LiFeng Xi
机构：
[1] Huazhong University of Science and Technology,School of Mathematics and Statistics
[2] South China University of Technology,Department of Mathematics
[3] Zhejiang Wanli University,Institute of Mathematics
来源：
Science China Mathematics | 2011年 / 54卷
关键词：
fractal; Lipschitz equivalence; triangular pattern; self-similar set; 28A80;
D O I：
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学科分类号：
摘要：
In this paper, we discuss the Lipschitz equivalence of self-similar sets with triangular pattern. This is a generalization of {1, 3, 5}-{1, 4, 5} problem proposed by David and Semmes. It is proved that if two such self-similar sets are totally disconnected, then they are Lipschitz equivalent if and only if they have the same Hausdorff dimension.
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页码：1019 / 1026
页数：7
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