Additivity of tunnel number for small knots

J. Schultens

doi:10.1007/s000140050131

JournalscmhVol. 75, No. 3pp. 353–367

Additivity of tunnel number for small knots

J. Schultens
University of California, Berkeley, USA

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Abstract

We show that for small knots $K_{1}, K_{2}, t (K_{1}) + t (K_{2}) - 1 \leq t (K_{1} # K_{2}) \leq t (K_{1}) + t (K_{2}) + 1$ , and that for small knots $K_{1}, \dots, K_{n}, t (K_{1} # \dots # K_{n}) \geq n$ .

Cite this article

J. Schultens, Additivity of tunnel number for small knots. Comment. Math. Helv. 75 (2000), no. 3, pp. 353–367

DOI 10.1007/S000140050131