Inverses, Powers and Cartesian products of topologically deterministic maps

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 Tn is deterministic for all integers n>0.

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