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Knotted ball pairs whose product with an interval is unknotted. (English) Zbl 0293.57010


MSC:

57Q45 Knots and links in high dimensions (PL-topology) (MSC2010)
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References:

[1] Giffen, C. H.: Cyclic branched coverings of doubled curves in 3-manifolds, Ill. J. Math.11, 644-646 (1967) · Zbl 0189.54803
[2] Gordon, C. McA.: Knots, homology spheres and contractible 4-manifolds, Topology14, 151-172 (1975) · Zbl 0304.57003 · doi:10.1016/0040-9383(75)90024-5
[3] Gordon, C. McA.: Uncountably many stably trivial strings in codimension two, to appear · Zbl 0379.57001
[4] Kato, M.: Higher-dimensional PL knots and knot manifolds. J. Math. Soc. Jap.21, 458-480 (1969) · Zbl 0199.26603 · doi:10.2969/jmsj/02130458
[5] Price, T. M.: A knotted cell pair with knot group ?, Ill. J. Math.12, 201-204 (1968) · Zbl 0153.54001
[6] Stallings, J.: On topologically unknotted spheres, Ann. of Math.77, 490-503 (1963) · Zbl 0121.18202 · doi:10.2307/1970127
[7] Sumners, D. W.: Invertible knot cobordisms, Comm. Math. Helv.56, 240-256 (1971) · Zbl 0227.57007 · doi:10.1007/BF02566842
[8] Sumners, D. W.: On an unlinking theorem. Proc. Camb. Phil. Soc.71, 1-4 (1972) · Zbl 0224.55001 · doi:10.1017/S0305004100050180
[9] Whitehead, J. H. C.: On doubled knots, J. London Math. Soc.12, 63-71 (1937) · Zbl 0016.04402 · doi:10.1112/jlms/s1-12.45.63
[10] Zeeman, E. C.: A note on an example of Mazur, Ann. of Math.76, 235-236 (1962) · Zbl 0105.17402 · doi:10.2307/1970274
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