QUASI-LOWER DIMENSION AND QUASI-LIPSCHITZ MAPPING

被引：13
|
作者：
Chen, Haipeng [1 ]
Du, Yali [2 ]
Wei, Chun [3 ]
机构：
[1] South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
[2] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo, SP, Brazil
[3] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2017年 / 25卷 / 03期
关键词：
Quasi-Lower Dimension; Quasi-Lipschitz Mapping; Sets Defined by Digit Restrictions; CANTOR SETS; MORAN SETS; EQUIVALENCE; FRACTALS;
D O I：
10.1142/S0218348X17500347
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that the lower dimension is not invariant under quasi-Lipschitz mapping, and then we find an invariant named the quasi-lower dimension. We also compute the quasi-lower dimension of a class of sets defined by digit restrictions, and then give an example to distinguish the quasi-lower dimension and other dimensions.
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页数：9
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