Geodesic
Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk
Juliana Xavier1
1 IMERL Facultad de Ingeniería Universidad de la República Julio Herrera y Reissig 565 Montevideo, Uruguay
Fundamenta Mathematicae, Tome 219 (2012) no. 1, pp. 59-96

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Michael Handel proved the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity. More recently, the author generalized Handel's theorem to a wider class of cycles of links . In this paper we complete this topic describing exactly which are all the cycles of links forcing the existence of a fixed point.
DOI : 10.4064/fm219-1-4
Keywords: michael handel proved existence fixed point orientation preserving homeomorphism unit disk extended closed disk provided has points whose orbits form oriented cycle links infinity recently author generalized handels theorem wider class cycles links paper complete topic describing exactly which cycles links forcing existence fixed point

Juliana Xavier 1

1 IMERL Facultad de Ingeniería Universidad de la República Julio Herrera y Reissig 565 Montevideo, Uruguay 
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Juliana Xavier. Cycles of links and fixed points for
 orientation preserving homeomorphisms
 of the open unit disk. Fundamenta Mathematicae, Tome 219 (2012) no. 1, pp. 59-96. doi: 10.4064/fm219-1-4

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