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

被引：0
|
作者：
Yang, Guoqiu [1 ,2 ]
Yin, Xunbo [2 ]
Lei, Fengchun [3 ]
机构：
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[3] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 12期
关键词：
Tunnel number; m-small; Morimoto Conjecture; UNDER CONNECTED SUM; HEEGAARD-SPLITTINGS; ADDITIVITY; SURFACES; GENUS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：4391 / 4399
页数：9
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