On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds.
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.
orientation-preserving gradient-like diffeomerphisms
scientific article; zbMATH DE number 2074778