Conjugacy of free mappings embedded in a flow

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...

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Hauptverfasser: Bhunia, Sushil, Sorcar, Gangotryi
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2211.08556