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

Juliana Xavier. "Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk." Fundamenta Mathematicae 219.1 (2012): 59-96. <http://eudml.org/doc/283216>.

@article{JulianaXavier2012,
abstract = {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.},
author = {Juliana Xavier},
journal = {Fundamenta Mathematicae},
keywords = {cycles of links; surface homeomorphisms; brick decompositions; free disks chain},
language = {eng},
number = {1},
pages = {59-96},
title = {Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk},
url = {http://eudml.org/doc/283216},
volume = {219},
year = {2012},
}

TY - JOUR
AU - Juliana Xavier
TI - Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk
JO - Fundamenta Mathematicae
PY - 2012
VL - 219
IS - 1
SP - 59
EP - 96
AB - 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.
LA - eng
KW - cycles of links; surface homeomorphisms; brick decompositions; free disks chain
UR - http://eudml.org/doc/283216
ER -