Topological Speedups For Minimal Cantor Systems
Dynamical Systems
2022-08-17 v1
Abstract
In this paper we study speedups of dynamical systems in the topological category. Specifically, we characterize when one minimal homeomorphism on a Cantor space is the speedup of another. We go on to provide a characterization for strong speedups, i.e., when the jump function has at most one point of discontinuity. These results provide topological versions of the measure-theoretic results of Arnoux, Ornstein and Weiss, and are closely related to Giordano, Putnam and Skau's characterization of orbit equivalence for minimal Cantor systems.
Cite
@article{arxiv.2208.07854,
title = {Topological Speedups For Minimal Cantor Systems},
author = {Drew D. Ash and Nicholas Ormes},
journal= {arXiv preprint arXiv:2208.07854},
year = {2022}
}
Comments
32 pages, to appear in Israel Journal of Mathematics. Corrected and expanded version of "Topological Speedups'' by Ash