Closed oriented 3-manifolds as 3-fold branched coverings of S 3 of special type
| dc.contributor.author | Hilden, Hugh Michael | |
| dc.contributor.author | Montesinos Amilibia, José María | |
| dc.contributor.author | Thickstun, Thomas L. | |
| dc.date.accessioned | 2023-06-21T02:03:04Z | |
| dc.date.available | 2023-06-21T02:03:04Z | |
| dc.date.issued | 1976 | |
| dc.description.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. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17270 | |
| dc.identifier.issn | 0030-8730 | |
| dc.identifier.officialurl | http://projecteuclid.org/pjm | |
| dc.identifier.relatedurl | http://pjm.math.berkeley.edu/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64717 | |
| dc.issue.number | 1 | |
| dc.journal.title | Pacific Journal of Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 76 | |
| dc.page.initial | 65 | |
| dc.publisher | Pacific Journal of Mathematics | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 515.163 | |
| dc.subject.keyword | Topology of general 3-manifolds | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Closed oriented 3-manifolds as 3-fold branched coverings of S 3 of special type | |
| dc.type | journal article | |
| dc.volume.number | 65 | |
| dcterms.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. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 7097502e-a5b0-4b03-b547-bc67cda16ae2 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7097502e-a5b0-4b03-b547-bc67cda16ae2 |
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