Attractors which are homeomorphic to compact Abelian groups (Q1320361)

Let \(\mu: Y\approx Y\) be a self-homeomorphism on a manifold \(Y\) and \(B\subset Y\) a compact subset with \(\mu(B)= B\). \(B\) is an attractor, if it has a neighbourhood \(U\) such that for every neighbourhood \(V\) there exists a number \(N\) with \(\mu^ n(V)\subset U\) for \(n\geq N\). The author is interested in the special case, where \(B\) has as homeomorphism type a compact Abelian group. He obtains examples generalizing the solenoid attractor and Anosov diffeomorphisms on tori.