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arXiv · 1208.1650

A classification of minimal sets for surface homeomorphisms

Alejandro Passeggi·Juliana Xavier
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Abstract

We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given by F. Kwakkel, T.Jäger and A. Passeggi in the torus. The given classification is studied in the non-wandering setting and in light of the Nielsen-Thurston Theory.

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Alejandro Passeggi, Juliana Xavier. 2012-08-20. A classification of minimal sets for surface homeomorphisms. https://arxiv.org/abs/1208.1650

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