A note on tunnel number of composite knots |
| |
| Authors: | Xutao GaoQilong Guo Ruifeng Qiu |
| |
| Affiliation: | a Department of Mathematics, Dalian University, Dalian 116022, China
b Department of Mathematics, East China Normal University, Shanghai 200241, China |
| |
| Abstract: | Let K be a knot in a sphere S3. We denote by t(K) the tunnel number of K. For two knots K1 and K2, we denote by K1?K2 the connected sum of K1 and K2. In this paper, we will prove that if one of K1 and K2 has high distance while the other has distance at least 3 then t(K1?K2)=t(K1)+t(K2)+1. |
| |
| Keywords: | Distance Heegaard splitting Tunnel |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
