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Regular version of the site

Article

The topological classification of structural stable 3-diffeomorphisms with two-dimensional basic sets

Nonlinearity. 2015. Vol. 28. P. 4081-4102.
Grines V., Pochinka O., Левченко Ю., Medvedev V. S.

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.