Three-dimensional mapping with two-dimensional expansive attractors and repellers.

In this paper, we consider a class of three-dimensional mappings whose non-wandering sets are a union of two-dimensional attractors and repellers. A topological classification of ambient manifolds admitting such systems is obtained. A class of model mappings is constructed where maps are skew products of a pA-homeomorphisms and rough circle transforms. We have proved that a map from the considered class is $\Omega$-conjugated with some model