2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212178In the case of smooth manifolds, we use Forman's discrete Morse theory to realize combinatorially any Thom-Smale complex coming from a smooth Morse function by a couple triangulation-discrete Morse function. As an application, we prove that any Euler structure on a smooth oriented closed 3-manifold has a particular realization by a complete matching on the Hasse diagram of a triangulation of the manifold.20 pagesGeometric TopologyDiscrete MathematicsCombinatoricstext