On the accumulation sets of exponential rays

被引：1

作者：

Fu, Jianxun ^{[1
]}

Zhang, Gaofei ^{[2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2019年 / 39卷

关键词：

DYNAMIC RAYS; CONTINUA; POINTS;

D O I：

10.1017/etds.2017.33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that there exist non-landing exponential rays with bounded accumulation sets. By introducing folding models of certain rays, we prove that each of the corresponding accumulation sets is an indecomposable continuum containing part of the ray, an indecomposable continuum disjoint from the ray or a Jordan arc.

引用

页码：370 / 391

页数：22

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