Hilden, Hugh Michael and Montesinos Amilibia, José María and Thickstun, Thomas L.
(1976)
*Closed oriented 3-manifolds as 3-fold branched coverings of S 3 of special type.*
Pacific Journal of Mathematics, 65
(1).
pp. 65-76.
ISSN 0030-8730

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## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Topology of general 3-manifolds |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 17270 |

References: | J. W. Alexander, Note on Rίemann spaces, Bull. Amer. Math. Soc, 26 (1920), 370-372. R. H. Fox, Covering spaces with singularities, Algebraic Geometry and Topology, A symposium in honor of S. Lefschetz, Princeton, 1957. R. H. Fox, A quick trip through knot theory, Topology of 3-manifolds and related topics, Englewood Cliffs, N. J. (1962), 120-167. H. M. Hilden, Every closed orientable 3-manίfold is a S-fold branched covering space of S3, Bull. Amer. Math. Soc. 80 (1974), 1243-44. H. M. Hilden, Three-fold branched coverings of S3, to appear in Amer. J. math. J. M. Montesinos, A representation of closed orientable 3-manifolds as S-fold branched coverings of S3, Bull. Amer. Math. Soc, 80 (1964), 845-846. J. M. Montesinos, Three manifolds as 3-fold branched covers of S3, to appear. J. M. Montesinos,, Una nota a un teorema de Alexander, Revista Mat. Hisp.-Amer. 4° series 32 (1972), 167-187. L. P. Neuwirth, Knot groups, Annals of Math. Studies, No. 56, Princeton University Press. |

Deposited On: | 29 Nov 2012 10:26 |

Last Modified: | 07 Feb 2014 09:45 |

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