On the topological equivalence of Morse-Smale diffeomorphisms with a finite set of heteroclinic trajectories on irreducible 3-manifolds (Q1922309)

Let \(f\) be an orientation preserving Morse-Smale diffeomorphism on an irreducible 3-manifold. It is assumed that the set of heteroclinic trajectories of \(f\) is finite. The author introduces a distinguishing graph \(G\) of \(f\) and gives conditions under which the graph \(G\) defines \(f\) up to topological equivalence.