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arXiv · 1704.00110

Dynamics of induced homeomorphisms of one-dimensional solenoids

Francisco José López Hernández
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Abstract

We study the displacement function of homeomorphisms isotopic to the identity of the universal one-dimensional solenoid and we get a characterization of the lifting property for an open and dense subgroup of the isotopy component of the identity. The dynamics of an element in this subgroup is also described using rotation theory.

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Francisco José López Hernández. 2017-04-01. Dynamics of induced homeomorphisms of one-dimensional solenoids. https://doi.org/10.3934/dcds.2018185

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