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On the degeneration ratio of tunnel numbers and free tangle
decompositions of knots
Kanji Morimoto |
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Geometry & Topology Monographs 12 (2007) 265–275 |
Bibliography |
| 1 | T Kobayashi, A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum, J. Knot Theory Ramifications 3 (1994) 179–186 MR1279920 |
| 2 | K Morimoto, There are knots whose tunnel numbers go down under connected sum, Proc. Amer. Math. Soc. 123 (1995) 3527–3532 MR1317043 |
| 3 | K Morimoto, Characterization of tunnel number two knots which have the property “2+1=2”, Topology Appl. 64 (1995) 165–176 MR1340868 |
| 4 | K Morimoto, Tunnel number, 1–bridge genus and h–genus of knots, Topology Appl. 146/147 (2005) 149–158 MR2107142 |
| 5 | M Scharlemann, J Schultens, Annuli in generalized Heegaard splittings and degeneration of tunnel number, Math. Ann. 317 (2000) 783–820 MR1777119 |
