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arXiv · 1010.2220

Inverses, Powers and Cartesian products of topologically deterministic maps

Michael Hochman·Artur Siemaszko
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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.

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Michael Hochman, Artur Siemaszko. 2010-10-11. Inverses, Powers and Cartesian products of topologically deterministic maps. https://arxiv.org/abs/1010.2220

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