Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds

2017/02/16 by Ch. Bonatti, Bonatti, Ch, В. З. Гринес +5
Mathematics · Physics and Astronomy · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · doi:10.48550/arxiv.1702.04960

openalex publication_date 2017/02/16 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We show that, up to topological conjugation, the equivalence class of a Morse-Smale diffeomorphism without heteroclinic curves on 3-manifold is completely defined by an em- bedding of two-dimensional stable and unstable heteroclinic laminations to a characteristic space.

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