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arXiv · 1208.0859

Rotation sets with nonempty interior and transitivity in the universal covering

Nancy Guelman·Andres Koropecki·Fabio Armando Tal
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Abstract

Let $f$ be a transitive homeomorphism of the two-dimensional torus in the homotopy class of the identity. We show that a lift of $f$ to the universal covering is transitive if and only if the rotation set of the lift contains the origin in its interior.

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Nancy Guelman, Andres Koropecki, Fabio Armando Tal. 2013-07-09. Rotation sets with nonempty interior and transitivity in the universal covering. https://doi.org/10.1017/etds.2013.61

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