关于R上的同胚群的研究

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.16143

K. Ali Akbar, T. Mubeena

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引用次数: 0

摘要

本文证明了R上所有递增同胚群有5个正规子群，R上所有同胚群有4个正规子群。关于R上的同胚群和R上的递增同胚群已有几个已知的结果([2]，[6]，[7]，[8])，但除此之外，在拓扑动力学方面关于拓扑结构的文献几乎没有。本文对这种结构进行了较为详细的分析。

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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On the group of homeomorphisms on R: A revisit

In this article, we prove that the group of all increasing homeomorphisms on R has exactly five normal subgroups, and the group of all homeomorphisms on R has exactly four normal subgroups. There are several results known about the group of homeomorphisms on R and about the group of increasing homeomorphisms on R ([2], [6], [7] and [8]), but beyond this there is virtually nothing in the literature concerning the topological structure in the aspects of topological dynamics. In this paper, we analyze this structure in some detail.

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.