A topological dynamical system on the Cantor set approximates its factors and its natural extension

DOI10.1016/j.topol.2012.06.001zbMath1250.37012OpenAlexW1997743647MaRDI QIDQ441409

Takashi Shimomura

Publication date: 23 August 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.06.001

zbMATH Keywords

conjugacydynamical systemCantor setsubshift of finite typefactornatural extensionapproximatesoficchain mixing

Mathematics Subject Classification ID

Related Items (2)

Special homeomorphisms and approximation for Cantor systems ⋮ Conjugacy in the Cantor set automorphism group

Cites Work

• Subshifts of finite type and sofic systems
• Aperiodic homeomorphisms approximate chain mixing endomorphisms on the Cantor set
• Lower entropy factors of sofic systems
• Generically there is but one self homeomorphism of the Cantor set
• Genericity in topological dynamics

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