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There are Knots whose Tunnel Numbers go down under Connected Sum

Kanji Morimoto
Proceedings of the American Mathematical Society
Vol. 123, No. 11 (Nov., 1995), pp. 3527-3532
DOI: 10.2307/2161103
Stable URL: http://www.jstor.org/stable/2161103
Page Count: 6
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There are Knots whose Tunnel Numbers go down under Connected Sum
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Abstract

In this paper, we show that there are infinitely many tunnel number two knots K such that the tunnel number of K # K' is equal to two again for any 2-bridge knot K'.

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