Small difference between tunnel numbers of cable knots and their companions

被引：0
|
作者：
Wang, Junhua [1 ]
Diao, Wenjie [2 ]
Zou, Yanqing [2 ,3 ]
机构：
[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China
[2] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
[3] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2024年 / 357卷
关键词：
Tunnel number; Cable knot; Primitive knot;
D O I：
10.1016/j.topol.2024.109058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for any nontrivial knot K subset of S 3 and a p/q-cable knot K * of K , the tunnel number t ( K ) = t ( K * ) if and only if K is p/q-primitive. This result solves a problem mentioned in [8].
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页数：8
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