On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds.
type: Item
instance of: scholarly article
title: On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds.
zbMATH Open document ID: 1041.37007
author: C. Bonatti
author: V. Z. Grines
author: Vladislav S. Medvedev
author: E. Pécou
published in: Doklady Mathematics
publication date: 2004-06-15T00:00:00Z
review text: The authors give a topological classification of the class \(G_0\) of all orientation-preserving gradient-like diffeomorphisms of a smooth closed-oriented three-dimensional manifold \(M\) such that the stable and unstable manifolds of the periodic saddle points of any diffeomorphism \(f\in G_0\) are disjoint, i.e., the wandering set of the diffeomorphism \(f\in G_0\) contains no heteroclinic points and curves.
Mathematics Subject Classification ID: 37C15
zbMATH DE Number: 2074778
zbMATH Keywords: three-dimensional manifold
zbMATH Keywords: orientation-preserving gradient-like diffeomerphisms
zbMATH Keywords: topological classification
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2074778