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Abstract: We give an equivalent characterisation for the existence of a semi-conjugacyto an irrational rotation for conservative homeomorphisms of the two-torus.This leads to an analogue of Poincare-s classification of circle homeomorphismsfor conservative toral homeomorphisms with unique rotation vector and a certainbounded mean motion property. For minimal toral homeomorphisms, the resultextends to arbitrary dimensions. Further, we provide a basic classification forthe dynamics of non-wandering toral homeomorphisms homotopic to the identitiy.



Autor: T. Jaeger

Fuente: https://arxiv.org/







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