On the structure of homeomorphisms of the open annulus
- [1] Université Grenoble 1, Institut Fourier B.P. 74, Saint-Martin-d’Hères 38402 France.
Annales de la faculté des sciences de Toulouse Mathématiques (2011)
- Volume: 20, Issue: 2, page 367-378
- ISSN: 0240-2963
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topGuillou, Lucien. "On the structure of homeomorphisms of the open annulus." Annales de la faculté des sciences de Toulouse Mathématiques 20.2 (2011): 367-378. <http://eudml.org/doc/219776>.
@article{Guillou2011,
abstract = {Let $h$ be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that $h$ admits a $h$-invariant dense open set $O$ on which it is conjugate to a translation and we study the action of $h$ on the compactly connected components of the closed and without interior set $\{\bf R\}^2 \setminus O$.},
affiliation = {Université Grenoble 1, Institut Fourier B.P. 74, Saint-Martin-d’Hères 38402 France.},
author = {Guillou, Lucien},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {annulus; homeomorphism; topological dynamics},
language = {eng},
month = {4},
number = {2},
pages = {367-378},
publisher = {Université Paul Sabatier, Toulouse},
title = {On the structure of homeomorphisms of the open annulus},
url = {http://eudml.org/doc/219776},
volume = {20},
year = {2011},
}
TY - JOUR
AU - Guillou, Lucien
TI - On the structure of homeomorphisms of the open annulus
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2011/4//
PB - Université Paul Sabatier, Toulouse
VL - 20
IS - 2
SP - 367
EP - 378
AB - Let $h$ be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that $h$ admits a $h$-invariant dense open set $O$ on which it is conjugate to a translation and we study the action of $h$ on the compactly connected components of the closed and without interior set ${\bf R}^2 \setminus O$.
LA - eng
KW - annulus; homeomorphism; topological dynamics
UR - http://eudml.org/doc/219776
ER -
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