On topological rank of factors of Cantor minimal systems

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 to...

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Veröffentlicht in:	Ergodic theory and dynamical systems 2022-09, Vol.42 (9), p.2866-2889
Hauptverfasser:	GOLESTANI, NASSER, HOSSEINI, MARYAM
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Apexes Dynamical systems Mathematics Original Article Topology
Online-Zugang:	Volltext
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