On the super additivity of tunnel number of knots |
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| Authors: | Kanji Morimoto |
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| Affiliation: | (1) Department of Mathematics, Takushoku University, Tatemachi, Hachioji, Tokyo 193, Japan (e-mail : morimoto@la.takushoku-u.ac.jp) , JP |
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| Abstract: | Abstract. In the present paper, we show a necessary and sufficient condition for knots in (with some side condition) to have the super additivity of tunnel number under connected sum, i.e., . Received: 25 June 1999 / Revised: 24 October 1999 / Published online: 8 May 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 57M25 57N10 |
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