帐篷反极限空间平面嵌件的可达点

IF 1.5 3区数学 Q1 MATHEMATICS

Dissertationes Mathematicae Pub Date : 2017-10-31 DOI:10.4064/DM776-1-2019

A. Anušić, Jernej Činč

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引用次数: 10

摘要

本文研究了帐篷逆极限空间的一类嵌入。我们介绍了依赖于米尔诺-瑟斯顿揉捏理论的技术，并使用它们来研究给定嵌入的可达点集和素数端点。我们完全刻画了由全局吸引子的Barge-Martin构造引起的标准嵌入的可达点和素端。在其他(不可扩展的)嵌入中，我们发现标准嵌入中没有出现的现象。

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Accessible points of planar embeddings of tent inverse limit spaces

In this paper we study a class of embeddings of tent inverse limit spaces. We introduce techniques relying on the Milnor-Thurston kneading theory and use them to study sets of accessible points and prime ends of given embeddings. We completely characterize accessible points and prime ends of standard embeddings arising from the Barge-Martin construction of global attractors. In other (non-extendable) embeddings we find phenomena which do not occur in the standard embeddings.

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来源期刊

Dissertationes Mathematicae 数学-数学

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： DISSERTATIONES MATHEMATICAE publishes long research papers (preferably 50-100 pages) in any area of mathematics. An important feature of papers accepted for publication should be their utility for a broad readership of specialists in the domain. In particular, the papers should be to some reasonable extent self-contained. The paper version is considered as primary. The following criteria are taken into account in the reviewing procedure: correctness, mathematical level, mathematical novelty, utility for a broad readership of specialists in the domain, language and editorial aspects. The Editors have adopted appropriate procedures to avoid ghostwriting and guest authorship.