arXiv:2211.08556 Abstract | arXiv Analytics

arXiv:2211.08556 [math.DS]Abstract References Reviews Resources

Conjugacy of free mappings embedded in a flow

Published 2022-11-15Version 1

In this paper we study free mappings of the plane, that is orientation preserving fixed point free homeomorphisms of $\mathbb{R}^2$. We provide a necessary and sufficient condition under which two free mappings of the plane that are embedded in flows are conjugate to one another using Haefliger-Reeb theory of plane foliations.

Comments: 18 pages, 5 figures

Categories: math.DS, math.GR

Subjects: 20E45, 37E30

Keywords: study free mappings, preserving fixed point free homeomorphisms, orientation preserving fixed point free, sufficient condition, plane foliations

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