Non-homogeneous extensions of Cantor minimal systems
Dynamical Systems
2020-11-20 v2 Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.1907.04153,
title = {Non-homogeneous extensions of Cantor minimal systems},
author = {Robin J. Deeley and Ian F. Putnam and Karen R. Strung},
journal= {arXiv preprint arXiv:1907.04153},
year = {2020}
}
Comments
8 pages. Minor changes in v2. To appear in Proc. Am. Math. Soc