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arXiv · 2008.04186

On Topological Rank of Factors of Cantor Minimal Systems

Nasser Golestani·Maryam Hosseini
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Abstract

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.

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Nasser Golestani, Maryam Hosseini. 2020-08-10. On Topological Rank of Factors of Cantor Minimal Systems. https://doi.org/10.1017/etds.2021.62

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