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arXiv:2008.04186 [math.DS]AbstractReferencesReviewsResources

On Topological Rank of Factors of Cantor Minimal Systems

Nasser Golestani, Maryam Hosseini

Published 2020-08-10Version 1

A Cantor minimal system is of finite topological rank if it has a Bratteli-Vershik representation whose number of vertices per level is uniformly bounded. We prove that if the topological rank of a minimal dynamical system on a Cantor set is finite then all its minimal Cantor factors have finite topological rank as well. This gives an affirmative answer to a question posed by Donoso, Durand, Maass, and Petite.

Comments: 20 pages
Categories: math.DS, math.OA
Subjects: 54H20, 37B05, 37B10
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