The dynamics of monotone maps of dendrites

被引：35

作者：

Efremova, LS ^{[1
]}

Makhrova, EN ^{[1
]}

机构：

[1] Nizhnii Novgorod State Univ NI Lobachevskii, Nizhnii Novgorod, Russia

来源：

SBORNIK MATHEMATICS | 2001年 / 192卷 / 5-6期

关键词：

D O I：

10.1070/SM2001v192n06ABEH000570

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Monotone maps of dendrites with a countable closed set of branch points of finite order are studied. The structure of omega -limit sets and of periodic and non-wandering sets is established, and it is proved that the topological entropy of monotone maps is equal to zero. It is shown that monotone maps of dendrites with a non-closed set of branch points of finite order may have properties different from those of the maps considered here.

引用

页码：807 / 821

页数：15

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