Inverses, Powers and Cartesian products of topologically deterministic maps
Dynamical Systems
2014-09-23 v1
Abstract
We show that if (X,T) is a topological dynamical system with is deterministic in the sense of Kamiski, Siemaszko and Szymaski then T^{-1} and the product system need not be determinstic in this sense. However if the product system is deterministic then T^n is deterministic for all integers n>0.
Cite
@article{arxiv.1010.2220,
title = {Inverses, Powers and Cartesian products of topologically deterministic maps},
author = {Michael Hochman and Artur Siemaszko},
journal= {arXiv preprint arXiv:1010.2220},
year = {2014}
}
Comments
8 pages, 1 figure