Dynamics of induced homeomorphisms of one-dimensional solenoids

Dynamics of induced homeomorphisms of one-dimensional solenoids

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 d...

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Veröffentlicht in:arXiv.org 2017-04
1. Verfasser: López Hernández, Francisco José
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Dynamical Systems
Solenoids
Subgroups
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1704.00110