On the uniform perfectness of groups of bundle homeomorphisms

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2019-01-01 DOI:10.5817/am2019-5-333

T. Rybicki

引用次数: 1

Abstract

Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.

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束同胚群的一致完备性

研究了与局部平凡束相关的同胚群。结果表明，这些群体是完美的。如果基的同胚同位素群是有界的，则整个空间的束同胚群是一致完美的。

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

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.