A note on parallelizable dynamical systems

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2017-06-01 DOI:10.3934/ERA.2017.24.007

J. Souza, T. A. Pacifico, Hélio V. M. Tozatti

引用次数: 2

Abstract

Hajek [ 3 ] showed that a dynamical system on a Tychonoff space with paracompact orbit space is parallelizable if and only if its corresponding bundle is a locally trivial fiber bundle with fiber \begin{document}$\mathbb{R}$\end{document} . The present paper provides an enhancement for this classical theorem by omitting all topological hypotheses.

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关于可并行动力系统的一个注记

Hajek[3]证明了具有准紧轨道空间的Tychonoff空间上的动力系统是可并行的，当且仅当其对应的丛是具有fiber\bead{document}$\mathbb{R}$\end{document}的局部平凡纤维丛。本文通过省略所有拓扑假设，对这一经典定理进行了改进。

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

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007