IFS attractors and Cantor sets

被引：26

作者：

Crovisier, S ^{[1
]}

Rams, M

机构：

[1] Univ Paris 13, CNRS LAGA UMR 7539, F-93430 Villetaneuse, France

[2] Univ Bourgogne, Inst Math Bourgogne, Dijon, France

来源：

TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 11期

关键词：

Cantor set; iterated function system; Antoine's necklace;

D O I：

10.1016/j.topol.2005.06.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attractor of an iterated function system. We give also an example of a Cantor set K in R-3 such that every homeomorphism f of R-3 which preserves K coincides with the identity on K. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：1849 / 1859

页数：11