Matsumoto, YukioMontesinos Amilibia, José María2023-06-202023-06-201991A. D. ALEKSANDROV, On completion of a space by polyhedra, Vestnik Leningrad Univ. Ser. Math. Fiz. Khim., 9:2 (1954), 33-43. F. BONAHON and L. SIEBENMANN, The classification of Seifert fibered 3-orbifolds, Low Dimensional Topology, ed. by R. Fenn, London Math. Soc. Lecture Note Series, 85(1985),19-85. A. DRESS, Newman’s theorems on transformation groups, Topology, 8 (1969), 203-207. W. D. DUNBAR, Geometric orbifolds, Revista Mat. Univ. Compl. Madrid, 1 (1988), 67-99. R. H. Fox, Covering spaces with singularities, Algebraic Geometry and Topology,Princeton Univ. Press (1957), 243-257. J. H. V. HUNT, Branched coverings as uniform completions of unbranched coverings (Résumé), Contemporary Math., 12 (1982), 141-155. M. KATO, On uniformization of orbifolds, Adv. Stud. Pure Math., 9 (1986), 149-172. B. MASKIT, On Poincare’s theorem for fundamental polygons, Adv. in Math., 7 (1971), 219-230. J. M. MoNTESINOS, Sobre la conjetura de Poincar\’e y los recubridores ramificados sobre un nudo, Ph. D. Theses, Univ. Compl. Madrid (1971). L. P. NEUWIRTH, Knot Groups, Ann. Math. Stud., 56 (1965), Princeton Univ. Press. M. H. A. NEWMAN, A theorem on periodic transformations of spaces, Quart. J. Math., 2 (1931), 1-8. I. SATAKE, On a generalization of the notion of manifolds, Proc. Nat. Acad. Sci. USA, 42 (1956), 359-363. H. SEIFERT, Komplexe mit Seitenzuordenung, Nachr. Akad. Wiss. Göttingen Math. Phys. Kl. II, 6 (1975), 49-80. W. THURSTON, The Geometry and Topology of 3-Manifolds, preprint, Princeton, 1976-79.0387-387010.3836/tjm/1270130498https://hdl.handle.net/20.500.14352/58616The authors prove that every geometric orbifold is good. More precisely, let X be a smooth connected manifold, and let G be a group of diffeomorphisms of X with the property that if any two elements of G agree on a nonempty open subset of X, then they coincide on X. If Q is an orbifold which is locally modelled on quotients of open subsets of X by finite subgroups of G, then the authors prove that the universal orbifold covering of Q is a (G,X)-manifold. A similar theorem was stated, and the proof sketched, in W. Thurston's lecture notes on the geometry and topology of 3-manifolds.engjournal articlehttp://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.tjm/1270130498http://projecteuclid.org/DPubS?Service=UI&version=1.0&verb=Display&handle=euclidrestricted access515.1finite group actionorbifold coveringgeometryTopologíaGeometría1210 Topología1204 Geometría