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

Loading...
Thumbnail Image
Full text at PDC
Publication Date
1976
Authors
Hilden, Hugh Michael
Thickstun, Thomas L.
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Pacific Journal of Mathematics
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
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.
Description
UCM subjects
Unesco subjects
Keywords
Citation
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.
Collections