一维流形上Zd的C1+ac作用空间是路径连通的

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-06-11 DOI:10.1016/j.aim.2025.110395

Hélène Eynard-Bontemps , Andrés Navas

引用次数: 0

摘要

我们证明了在闭区间和圆上具有绝对连续导数的C1微分同态的Zd作用空间的路径连通性。在区间上用C2微分同态给出了Zd作用空间连通性的一个新的简短证明，并在实解析集上给出了一个类似的结果。

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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The space of C1+ac actions of Zd on a one-dimensional manifold is path-connected

We show path-connectedness for the space of

Z^{d}

actions by

C^{1}

diffeomorphisms with absolutely continuous derivative on both the closed interval and the circle. We also give a new and short proof of the connectedness of the space of

Z^{d}

actions by

C^{2}

diffeomorphisms on the interval, as well as an analogous result in the real-analytic setting.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.