Accessible points of planar embeddings of tent inverse limit spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-10-31 DOI:10.4064/DM776-1-2019

A. Anušić, Jernej Činč

引用次数: 10

Abstract

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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帐篷反极限空间平面嵌件的可达点

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.