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1. TUNNEL NUMBER ONE KNOTS, m-SMALL KNOTS AND THE MORIMOTO CONJECTURE.

Author

GUOQIU YANG, XUNBO YIN, and FENGCHUN LEI

Subjects
*KNOT theory, *ONE (The number), *LOGICAL prediction, *MATHEMATICAL formulas, *MATHEMATICS
Abstract

In the present paper, we show that the Morimoto Conjecture on the super additivity of the tunnel numbers of knots in S3 is true for knots K1,K2 in S3 in which each Ki is either a tunnel number one or m-small, i = 1, 2. This extends two known results by Morimoto. [ABSTRACT FROM AUTHOR]

Published
2013
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