The topological full group of a Cantor minimal system is dense in the full group

DOI10.12775/TMNA.2000.046zbMath0978.37004MaRDI QIDQ5936111

Sergey Bezuglyi, Jan Kwiatkowski

Publication date: 7 February 2002

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

Cantor setminimal homeomorphismtopological full group

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (5)

Linking invariants for smooth minimal solenoids ⋮ Measures on Cantor sets: The good, the ugly, the bad ⋮ On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts ⋮ The Cech cohomology and the spectrum for 1-dimensional tiling systems ⋮ Smooth automorphisms and path-connectedness in Borel dynamics

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