Uniform perfectness of the attractor of bi-Lipschitz IFS

作     者：RUAN Huojun SUN Yeshun YIN Yongcheng 

作者机构：Department of Mathematics Zhejiang University Hangzhou 310027 China Department of Mathematics Zhejiang University Hangzhou 310027 China Department of Mathematics Zhejiang University Hangzhou 310027 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2006年第49卷第4期

页      面：433-438页

核心收录：

学科分类：07[理学] 08[工学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.10171090 10231040&10301027) 

主　　题：uniform perfectness, iterated function systems. 

摘      要：In this paper, we prove that the attractor of C1,a bi-Lipschitz IFS in R is uniformly perfect if it is not a singleton. Then we construct an example to show that this does not hold for C1 bi-Lipschitz IFS in Rn.