2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77563We prove that an open 3-manifold proper homotopy equivalent to a geometrically simply connected polyhedron is simply connected at infinity, generalizing a theorem of V.Poenaru.revised version, 11 pages, Topology Appl. (to appear)Geometric Topology57 M 50, 57 M 10On open 3-manifolds proper homotopy equivalent to geometrically-simply connected polyhedratext