Rotation Topological Factors of Minimal Z-actions on the Cantor Set
نویسنده
چکیده
In this paper we study conditions under which a free minimal Zaction on the Cantor set is a topological extension of the action of d rotations, either on the product T of d 1-tori or on a single 1-torus T. We extend the notion of linearly recurrent systems defined for Z-actions on the Cantor set to Z-actions and we derive in this more general setting, a necessary and sufficient condition, which involves a natural combinatorial data associated with the action, allowing the existence of a rotation topological factor of one these two types.
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تاریخ انتشار 2004