A note on measure-expansive diffeomorphisms

被引：39

作者：

Artigue, Alfonso ^{[1
]}

Carrasco-Olivera, Dante ^{[2
]}

机构：

[1] Univ Republ, Dept Matemat & Estadist Litoral, Salto, Uruguay

[2] Univ Bio Bio, Dept Matemat, Concepcion, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 428卷 / 01期

关键词：

Expansive homeomorphism; Expansive measure; Quasi-Anosov; HOMEOMORPHISMS; SURFACES;

D O I：

10.1016/j.jmaa.2015.02.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove that a homeomorphism is countably-expansive if and only if it is measure-expansive. This result is applied for showing that the C-1-interior of the sets of expansive, measure-expansive and continuum-wise expansive C-1-diffeomorphisms coincide. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：713 / 716

页数：4

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