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-Re...

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Veröffentlicht in:arXiv.org 2022-11
Hauptverfasser: Bhunia, Sushil, Sorcar, Gangotryi
Format: Artikel
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.
ISSN:2331-8422