Robin J. Deeley, Ian F. Putnam, Karen R. Strung
Published 2019-07-09Version 1
Floyd gave an example of a minimal dynamical system which was an extension of an odometer and the fibres of the associated factor map were either singletons or intervals. Gjerde and Johansen showed that the odometer could be replaced by any Cantor minimal system. Here, we show further that the intervals can be generalized to cubes of arbitrary dimension and to attractors of certain iterated function systems. We discuss applications.
On Topological Rank of Factors of Cantor Minimal Systems
Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems
Orbit equivalence of Cantor minimal systems and their continuous spectra
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