Homeomorphisms on minimal Cantor sets in the unimodal setting

被引：0

作者：

Alvin, Lori ^{[1
]}

机构：

[1] Furman Univ, Dept Math, 3300 Poinsett Hwy, Greenville, SC 29613 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 282卷

关键词：

Unimodal maps; Kneading sequences; Homeomorphisms; Cantor sets; Shift spaces; OMEGA-LIMIT SETS;

D O I：

10.1016/j.topol.2020.107292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the structure of the kneading sequences of unimodal maps for which the omega-limit set of the turning point is a Cantor set and the map restricted to that omega-limit set is a minimal homeomorphism. We provide several characterizations of unimodal maps with these homeomorphic restrictions in terms of the kneading sequences and the associated shift spaces generated by the kneading sequences. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：10

共 11 条

[1]

Alvin L., 2019, CHARACTERIZATION UNI

[2] Omega-limit sets for shift spaces and unimodal maps [J].