On period three and topological entropy in hereditarily decomposable arc-like continua

被引：0

作者：

Méndez-Lango, H ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico

来源：

CONTINUUM THEORY | 2002年 / 230卷

关键词：

topological entropy; periodic points; hereditarily decomposable arc-like continuum;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we prove the next claim: If C is a hereditarily decomposable arc-like continuum and f : C --> C is a continuous mapping with a periodic point of period 3, then f has positive topological entropy. This result generalizes a known property for maps defined in the interval.

引用

页码：271 / 279

页数：9