Mathematics – Dynamical Systems
Scientific paper
2009-05-04
Math. Z., 266 (1), pp. 229-236 (2010)
Mathematics
Dynamical Systems
8 pages, to appear in Mathematische Zeitschrift
Scientific paper
10.1007/s00209-009-0565-0
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 $K$ is the
intersection of a decreasing sequence of annuli. A version for non-orientable
surfaces is given.
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