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Orbit structure for groups of homeomorphisms of the circle

N. C. Esty
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Abstract

In this paper we will refine Sacksteder's theorem for groups of orientation-preserving homeomorphisms of the circle in the case that there exists a finite orbit set. We will give a categorization of the topological possibilities for the orbits of points of the circle, along with examples.

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N. C. Esty. 2005-08-01. Orbit structure for groups of homeomorphisms of the circle. https://arxiv.org/abs/math/0508050

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