Диффеоморфизмы двумерных многообразий с одномерными просторно расположенными базисными множествами
In this paper, we consider orientation-preserving A-diffeomorphisms of orientable surfaces of genus greater than one that contain a one-dimensional, spaciously located perfect attractor. It is shown that the question of the topological classification of the restrictions of diffeomorphisms to such basic sets is reduced to the problem of the topological classification of pseudo-Anosov homeomorphisms with a marked set of saddle singularities. In particular, a proof is given of the topological classification of A-diffeomorphisms of the surfaces under consideration, announced by Yu. A. Zhirov and RV Plykin, whose nonwandering set consists of a one-dimensional spacious attractor and zero-dimensional sources.