Recurrent Surface Homeomorphisms

Details Recurrent Surface Homeomorphisms Recurrent Surface Homeomorphisms

2003-03-20

arxiv.org/abs/math/0303258v3

Math. Proc. Cambridge Philos. Soc., 124(1):161-168, 1998

Mathematics

Dynamical Systems

10 pages LaTeX; fixed some references

Scientific paper

10.1017/S0305004197002272

An orientation-preserving recurrent homeomorphism of the two-sphere which is
not the identity is shown to admit exactly two fixed points. A recurrent
homeomorphism of a compact surface with negative Euler characteristic is
periodic.

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