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

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

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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Veröffentlicht in:arXiv.org 2017-09
Hauptverfasser: Bonatti, Ch, Grines, V, Laudenbach, F, Pochinka, O
Format: Artikel
Sprache:eng
Schlagworte:
Conjugation
Dimensional stability
Isomorphism
Manifolds (mathematics)
Topology
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Zusammenfassung: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.
ISSN:2331-8422