RT Journal Article
T1 Closed oriented 3-manifolds as 3-fold branched coverings of S 3  of special type
A1 Hilden, Hugh Michael
A1 Montesinos Amilibia, José María
A1 Thickstun, Thomas L.
AB 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.
PB Pacific Journal of Mathematics
SN 0030-8730
YR 1976
FD 1976
LK https://hdl.handle.net/20.500.14352/64717
UL https://hdl.handle.net/20.500.14352/64717
LA eng
NO 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.
DS Docta Complutense
RD 6 may 2024