2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164264The aim of the work is to prove the following main theorem. Theorem. Let M3 be a three-dimensional, connected, simple-connected, closed, compact, smooth manifold. Tnen the manifold M3 is diffeomorphic to the three-dimensional sphere.19 pages, 6 figuresGeneral Mathematics53C21, 57M20, 57M40, 57M50Three-dimensional compact manifolds and the Poincare conjecturetext