NEW CLASSES IN TOPOLOGICAL DYNAMICS

One way to classify dynamical systems is to do according to mixing notions. The most known mixing concepts are weak, mild and strong mixing, and there exists a close relation between these classes of mixings and the combinatorial number theory. In [2], by considering largeness on fat intersection sets, the authors were able to introduce a new class between mild and strong mixing. Here, we introduce some new classes in topological dynamical systems and we shall show that they are invariant under factor maps.