2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78553An explicit isomorphism between Morse homology and singular homology is constructed via the technique of pseudo-cycles. Given a Morse cycle as a formal sum of critical points of a Morse function, the unstable manifolds for the negative gradient flow are compactified in a suitable way, such that gluing them appropriately leads to a pseudo-cycle and a well-defined integral homology class in singular homology.20 pagesGeometric TopologySymplectic Geometry58E05 (Primary) 55N35, 57R70 (Secondary)Equivalences for Morse homologytext