Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifoldsReport as inadecuate




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1 IMB - Institut de Mathématiques de Bourgogne Dijon 2 National Research University Higher School of Economics 3 LMJL - Laboratoire de Mathématiques Jean Leray

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.

Keywords : Morse-Smale diffeomorphism topological classification heteroclinic lamination





Author: Ch Bonatti - V Grines - F Laudenbach - O Pochinka -

Source: https://hal.archives-ouvertes.fr/



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