Inverses, Powers and Cartesian products of topologically deterministic maps

Details Inverses, Powers and Cartesian products of topologically deterministic maps Inverses, Powers and Cartesian products of topologically deterministic maps

2010-10-11

arxiv.org/abs/1010.2220v1

Mathematics

Dynamical Systems

8 pages, 1 figure

Scientific paper

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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