Volume 4, issue 1 (2000)

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Levelling an unknotting tunnel

Hiroshi Goda, Martin Scharlemann and Abigail Thompson

Geometry & Topology 4 (2000) 243–275
Bibliography
1 J Berge, Embedding the exteriors of one-tunnel knots and links in the 3–Sphere, unpublished preprint
2 D Gabai, Foliations and the topology of 3–manifolds III, J. Differential Geom. 26 (1987) 479 MR910018
3 H Goda, M Ozawa, M Teragaito, On tangle decompositions of tunnel number one links, J. Knot Theory Ramifications 8 (1999) 299 MR1691429
4 C M Gordon, A W Reid, Tangle decompositions of tunnel number one knots and links, J. Knot Theory Ramifications 4 (1995) 389 MR1347361
5 T Kobayashi, Classification of unknotting tunnels for two bridge knots, from: "Proceedings of the Kirbyfest (Berkeley, CA, 1998)", Geom. Topol. Monogr. 2, Geom. Topol. Publ., Coventry (1999) 259 MR1734412
6 K Morimoto, A note on unknotting tunnels for 2–bridge knots, Bull. Fac. Eng. Takushoku Univ. 3 (1992) 219
7 K Morimoto, Planar surfaces in a handlebody and a theorem of Gordon–Reid, from: "KNOTS '96 (Tokyo)", World Sci. Publ., River Edge, NJ (1997) 123 MR1664957
8 A Thompson, Thin position and bridge number for knots in the 3–sphere, Topology 36 (1997) 505 MR1415602