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The topological classification of structurally stable 3-diffeomorphisms with two-dimensional basic sets. (English) Zbl 1357.37029

Summary: In this paper we consider a class of structurally stable diffeomorphisms with two-dimensional basic sets given on a closed 3-manifold. We prove that each such diffeomorphism is a locally direct product of a hyperbolic automorphism of the 2-torus and a rough diffeomorphism of the circle. We find algebraic criteria for topological conjugacy of the systems.

MSC:

37C15 Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems
37C05 Dynamical systems involving smooth mappings and diffeomorphisms
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