Inverse limits of postcritically finite polynomials

被引：0
|
作者：
Williams, Brian [1 ]
机构：
[1] Baylor Univ, Dept Math, Waco, TX 76706 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2010年 / 157卷 / 16期
关键词：
Inverse limits; Julia sets; Postcritically finite polynomials; Indecomposable; Hubbard trees;
D O I：
10.1016/j.topol.2010.07.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We examine inverse limits of postcritically finite polynomials restricted to their Julia sets. We define the "trunk" of a Julia set, a forward-invariant set related to the Hubbard tree, and use it to show that the inverse limit always contains at least one indecomposable subcontinuum. We characterize when the inverse limit is indecomposable and also examine how the trunk behaves in the inverse limit. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2562 / 2571
页数：10
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