Universality with respect to ω-limit sets

被引：2

作者：

Chudziak, Jacek ^{[2
]}

Garcia Guirao, Juan Luis ^{[3
]}

Snoha, L'ubomir ^{[1
]}

Spitalsky, Vladimir ^{[1
]}

机构：

[1] Matej Bel Univ, Dept Math, Fac Nat Sci, Banska Bystrica 97401, Slovakia

[2] Univ Rzeszow, Dept Math, PL-35310 Rzeszow, Poland

[3] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Murcia 30203, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

omega-limit set; Universal system; Graph; Dendrite; Cantor set; CONTINUOUS MAP; END-POINTS; DENDRITES; INTERVAL; SPACE;

D O I：

10.1016/j.na.2008.12.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A discrete dynamical system on a compact metric space X is called universal (with respect to omega-limit sets) if, among its omega-limit sets, there is a homeomorphic copy of any omega-limit set of any dynamical system on X. By a result of Pokluda and Smital the unit interval admits a universal system. In this paper, we study the problem of the existence of universal systems on Cantor spaces, graphs, dendrites and higher-dimensional spaces. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1485 / 1495

页数：11

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