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

Author: Grines V   Levchenko Yu   Medvedev V   Pochinka O  

Publisher: IOP Publishing

E-ISSN: 1361-6544|28|11|4081-4102

ISSN: 0951-7715

Source: Nonlinearity, Vol.28, Iss.11, 2015-10, pp. : 4081-4102

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Abstract

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.