On the problem of topological classification of strange attractors of dynamical systems

This paper consists of two parts. The first, which is devoted to presenting results of Barge and Watkins, connects the closure of the union of the unstable manifolds of certain “Smale horseshoes” with Knaster continua and projections on them of Vietoris–van Dantzig solenoids. In the second part the homeomorphism problem for expanding attractors of codimension 1 is solved when the dimension of the manifold generating the dynamical system is greater than two.