2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62104A canonical branched covering over each sufficiently good simplicial complex is constructed. Its structure depends on the combinatorial type of the complex. In this way, each closed orientable 3-manifold arises as a branched covering over the 3-sphere from some triangulation of S^3. This result is related to a theorem of Hilden and Montesinos. The branched coverings introduced admit a rich theory in which the group of projectivities plays a central role.v2: several changes to the text body; minor correctionsGeometric TopologyCombinatorics57M12 (57M25; 57Q99; 05C15; 05C10)text