Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk

• Autorzy: Juliana Xavier
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37E30: Homeomorphisms and diffeomorphisms of planes and surfaces
• 37B20: Notions of recurrence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 219
• Numer: 1
• Strony: 59-96

Daty

wydano

2012

Twórcy

autor

Juliana Xavier

• IMERL, Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, Montevideo, Uruguay

Identyfikatory

DOI

10.4064/fm219-1-4