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Flowability of Plane Homeomorphisms

Le Roux, Frederic and O'Farrell, Anthony G. and Roginskaya, Maria and Short, Ian (2011) Flowability of Plane Homeomorphisms. Annales de l'Institut Fourier . pp. 1-20. ISSN 1777-5310

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Abstract

We describe necessary and sufficient conditions for an orientation preserving fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar flow that leaves the foliation invariant.

Additional Information:Preprint version of article submitted to Annales de l'Institut Fourier. The second and fourth authors’ work was supported by Science Foundation Ireland grant 05/RFP/MAT0003. The second author was also supported by the ESF Network HCAA.
Keywords:Brouwer homeomorphism; flow; foliation; homeomorphism; plane; Reeb component;
Subjects:Science & Engineering > Mathematics
ID Code:3763
Deposited By:Prof. Anthony O'Farrell
Deposited On:19 Jun 2012 16:37
Journal or Publication Title:Annales de l'Institut Fourier
Publisher:Association des Annales de l'Institut Fourier
Refereed:No
URL:http://aif.cedram.org/

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