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].

引用

页数：8

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