2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66885We consider an open and dense subset of the set of all connections (heteroclinic orbits) between two saddles of a vector field in dimension three. We give a complete classification up to topological equivalence of the dynamics in a neighbourhood of a connection in this subset.16 pages, 6 figuresDynamical Systems37C15, 37C29text