2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76933We give a complete proof of Thurston's Orbifold Theorem for very good 3-orbifolds of cyclic type. An orbifold is said to be very good when it has a finite cover which is a manifold. A 3-orbifold is of cyclic type if the singular set is a non-empty 1-manifold transverse to the boundary.92 pages, 15 figures, amstexGeometric Topology57M50text