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Topological Weak Mixing and Quasi-bohr Systems
A minimal dynamical system (X,T ) is called quasi-Bohr if it is a nontrivial equicontinuous extension of a proximal system. We show that if (X,T ) is a minimal dynamical system which is not weakly mixing then some minimal proximal extension of (X, T ) admits a nontrivial quasi-Bohr factor. (In terms of Ellis groups the corresponding statement is: AG′ = G implies weak mixing.) The converse does ...
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2018
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-017-9243-5