The Existence of a Linear Horseshoe of Continuous Maps of Dendrites

被引：0
|
作者：
Makhrova, E. N. [1 ]
机构：
[1] Nizhnii Novgorod State Univ, Pr Gagarina 23, Nizhnii Novgorod 603950, Russia
来源：
RUSSIAN MATHEMATICS | 2013年 / 57卷 / 03期
关键词：
dendrite; horseshoe; linear horseshoe;
D O I：
10.3103/S1066369X13030043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Assume that a continuous map f defined on a dendrite X has a horseshoe (A, B), where A and B are nonempty disjoint subcontinua in X. In this paper we obtain conditions for the structure of sets A and B under which some iteration of f has a linear horseshoe.
引用
收藏
页码：32 / 37
页数：6
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