Topological entropy of the induced maps of the inverse limits with bonding maps

被引：1

作者：

Ye, XD ^{[1
]}

机构：

[1] UNIV SCI & TECHNOL CHINA, DEPT MATH, HEFEI 230026, PEOPLES R CHINA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1995年 / 67卷 / 02期

关键词：

topological entropy; inverse limit space; induced map and homeomorphism; chainable continuum;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize a result of Bowen by showing that the topological entropy of the induced map of the inverse limit space with bonding maps is equal to the limit of the topological entropy of the original maps. As an application we prove that the topological entropy of each induced homeomorphism of a hereditarily decomposable chainable continuum is zero and then generalize some known result of Barge and Martin.

引用

页码：113 / 118

页数：6

共 12 条

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