Bounded recurrent sets for planar homeomorphisms

Authors
Le Roux, F
Citation
F. Le Roux, Bounded recurrent sets for planar homeomorphisms, ERGOD TH DY, 19, 1999, pp. 1085-1091
Citations number
4
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
19
Year of publication
1999
Part
4
Pages
1085 - 1091
Database
ISI
SICI code
0143-3857(199908)19:<1085:BRSFPH>2.0.ZU;2-5
Abstract
We answer a question proposed by Barge and Franks in 1993 by showing that a bounded connected set in the plane which is closed or open and meets an in finite number of its iterates under an orientation-preserving fixed point f ree homeomorphism must meet all of them.