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

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TitreTopological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds
Type de publicationJournal Article
Year of Publication2019
AuteursBonatti C, Grines V, Laudenbach F., Pochinka O.
JournalERGODIC THEORY AND DYNAMICAL SYSTEMS
Volume39
Pagination2403-2432
Date PublishedSEP
Type of ArticleArticle
ISSN0143-3857
Résumé

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

DOI10.1017/etds.2017.129