TUNNEL NUMBER ONE KNOTS, m-SMALL KNOTS AND THE MORIMOTO CONJECTURE
点击次数：
论文类型：期刊论文
发表时间：2013-12-01
发表刊物：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
收录刊物：Scopus、SCIE
卷号：141
期号：12
页面范围：4391-4399
ISSN号：0002-9939
关键字：Tunnel number; m-small; Morimoto Conjecture
摘要：In the present paper, we show that the Morimoto Conjecture on the super additivity of the tunnel numbers of knots in S-3 is true for knots K-1, K-2 in S-3 in which each K-i is either a tunnel number one or m-small, i = 1, 2. This extends two known results by Morimoto.