TOPOLOGICAL RANK DOES NOT INCREASE BY NATURAL EXTENSION OF CANTOR MINIMALS

DOI10.2206/kyushujm.71.299zbMath1387.37013arXiv1607.00601OpenAlexW2964001035MaRDI QIDQ4642751

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Publication date: 25 May 2018

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00601

zbMATH Keywords

zero-dimensionalgraph coveringsubshiftBratteli diagramtopological rank

Mathematics Subject Classification ID

Related Items (1)

All minimal Cantor systems are slow

Cites Work

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• Special homeomorphisms and approximation for Cantor systems
• Algebraic topology for minimal Cantor sets
• Zero-dimensional almost 1-1 extensions of odometers from graph coverings
• Graph covers and ergodicity for zero-dimensional systems
• Finite rank Bratteli diagrams: Structure of invariant measures
• NON-HOMEOMORPHIC TOPOLOGICAL RANK AND EXPANSIVENESS
• Finite-rank Bratteli–Vershik diagrams are expansive
• Aperiodic substitution systems and their Bratteli diagrams
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS

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