Une nouvelle preuve du theoreme de point fixe de Handel
| dc.creator | Calvez, Patrice Le | |
| dc.date | 2009-03-02 | |
| dc.date.accessioned | 2026-07-07T12:48:13Z | |
| dc.date.available | 2026-07-07T12:48:13Z | |
| dc.description | M Handel has proved in [Topology 38 (1999) 235--264] a fixed point theorem for an orientation preserving homeomorphism of the open unit disk, that may be extended to the closed disk and that satisfies a linking property of orbits. We give here a new proof of Handel's fixed point theorem, based on Brouwer theory and some plane topology arguments. We will slightly improve the theorem by proving the existence of a simple closed curve of index 1. This index result was known to be true under an additional hypothesis and has been used by different authors (J Franks [NYJM 2 (1996) 1--19, Trans.AMS 348 (1996) 2637--2662] S Matsumoto [Topol. Appl. 104 (2000) 191--214]) to study homeomorphisms of surfaces. | |
| dc.description | This is the version published by Geometry & Topology on 8 December 2006 | |
| dc.identifier | https://arxiv.org/abs/0903.0369 | |
| dc.identifier | http://arxiv.org/abs/0903.0369 | |
| dc.identifier | Geom. Topol. 10 (2006) 2299-2349 | |
| dc.identifier | doi:10.2140/gt.2006.10.2299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221982 | |
| dc.subject | Geometric Topology | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B20, 37C25, 37E30, 37E45, 37J10 | |
| dc.title | Une nouvelle preuve du theoreme de point fixe de Handel | |
| dc.type | text |