Closed oriented 3-manifolds as 3-fold branched coverings of S 3 of special type

The first author [Amer. J. Math. 98 (1976), no. 4, 989–992] and the second author [Quart. J. Math. Oxford Ser. (2) 27 (1976), no. 105, 85–94] have shown that any closed orientable 3-manifold M is a 3-fold cover of S3 branched over a knot. In the present paper it is proved that matters may be arrange...

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Detalles Bibliográficos
Autores: Hilden, Hugh Michael, Montesinos Amilibia, José María, Thickstun, Thomas L.
Tipo de recurso: artículo
Fecha de publicación:1976
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/64717
Acceso en línea:https://hdl.handle.net/20.500.14352/64717
Access Level:acceso abierto
Palabra clave:515.163
Topology of general 3-manifolds
Topología
1210 Topología
Descripción
Sumario:The first author [Amer. J. Math. 98 (1976), no. 4, 989–992] and the second author [Quart. J. Math. Oxford Ser. (2) 27 (1976), no. 105, 85–94] have shown that any closed orientable 3-manifold M is a 3-fold cover of S3 branched over a knot. In the present paper it is proved that matters may be arranged so that the curve in M which covers the branch set in S3 bounds a disc in M.