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.
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页码：271 / 279
页数：9
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