Aperiodic invariant continua for surface homeomorphisms
Dynamical Systems
2010-11-23 v2
Abstract
We prove that if a homeomorphism of a closed orientable surface S has no wandering points and leaves invariant a compact, connected set K which contains no periodic points, then either K=S and S is a torus, or is the intersection of a decreasing sequence of annuli. A version for non-orientable surfaces is given.
Cite
@article{arxiv.0905.0306,
title = {Aperiodic invariant continua for surface homeomorphisms},
author = {Andres Koropecki},
journal= {arXiv preprint arXiv:0905.0306},
year = {2010}
}
Comments
8 pages, to appear in Mathematische Zeitschrift