THE NONEXISTENCE OF EXPANSIVE HOMEOMORPHISMS OF PEANO CONTINUA IN THE PLANE

被引：29

作者：

KATO, H ^{[1
]}

机构：

[1] HIROSHIMA UNIV,FAC INTEGRATED ARTS & SCI,HIROSHIMA 730,JAPAN

来源：

TOPOLOGY AND ITS APPLICATIONS | 1990年 / 34卷 / 02期

关键词：

D O I：

10.1016/0166-8641(90)90078-G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that if X is one of an arc, a circle or a disk, X does not admit an expansive homeomorphism. In this paper, we prove that there is no expansive homeomorphism on any (nondegenerate) Peano continuum in the plane. © 1990.

引用

页码：161 / 165

页数：5

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