2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77860The ambient framed bordism class of the connecting manifold of two consecutive critical points of a Morse-Smale function is estimated by means of a certain Hopf invariant. Applications include new examples of non-smoothable Poincare duality spaces as well as an extension of the Morse complex.26 pagesGeometric TopologyAlgebraic TopologyDynamical SystemsSymplectic Geometry58F09, 55Q50 (Primary) 57R70, 58F25 (Secondary)text