Almost totally disconnected minimal systems

被引：21

作者：

Balibrea, Francisco ^{[1
]}

Downarowicz, Tomasz ^{[2
]}

Hric, Roman ^{[3
,4
]}

Snoha, L'Ubomir ^{[5
]}

Spitalsky, Vladimir ^{[5
]}

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

[2] Wroclaw Univ Technol, Inst Math, PL-50370 Wroclaw, Poland

[3] Univ Paris 13, Inst Galilee, Lab Anal Geometrie Applicat, F-93430 Villetaneuse, France

[4] Matej Bel Univ, Sci & Res Inst, Inst Math & Comp Sci, SK-97411 Banska Bystrica, Slovakia

[5] Matej Bel Univ, Fac Nat Sci, SK-97401 Banska Bystrica, Slovakia

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2009年 / 29卷

关键词：

MAPS; SETS; POLYNOMIALS; DENDRITES;

D O I：

10.1017/S0143385708000540

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A space X is said to be almost totally disconnected if the set of its degenerate components is dense in X. We prove that an almost totally disconnected compact metric space admits a minimal map if and only if either it is a finite set or it has no isolated point. As a consequence we obtain a characterization of minimal sets on dendrites and local dendrites.

引用

页码：737 / 766

页数：30

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