Montesinos Amilibia, José María2023-06-212023-06-211983-070305-004110.1017/S0305004100060941https://hdl.handle.net/20.500.14352/64701The author shows that every compact connected oriented 3-manifold, after capping off boundary components by cones, is a covering of S3 branched over the 1-complex G which is "a pair of eyeglasses''. The author gives algorithms for passing between a Heegaard decomposition of a 3-manifold and this covering description. He also determines necessary and sufficient conditions for such a covering to have cone singularities. In a paper by W. Thurston ["Universal links'', Preprint], a link with similar properties (for closed 3-manifolds) to G is constructed.engjournal articlehttp://journals.cambridge.org/abstract_S0305004100060941http://journals.cambridge.org/restricted access515.16branched coverings of the 3-spherefinite presentation of fundamental groupcompactconnectedoriented 3-manifold without 2-spheres in the boundarysingular 3-manifoldHeegaard diagramTopología1210 Topología