2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61583We compute the minimum number of critical points of a small codimension smooth map between two manifolds. We give as well some partial results for the case of higher codimension when the manifolds are spheres.revised version, 15 pages, to appear J.London Math.SocGeometric TopologyAlgebraic TopologyDifferential Geometry20 F 32, 57 M 10, 58 E 05On smooth maps with finitely many critical pointstext