卫星链路隧道系统解结研究

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2021-04-20 DOI:10.2140/agt.2022.22.307

D. Girão, J. Nogueira, António Salgueiro

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引用次数: 0

摘要

证明了组件数大于或等于同伴网桥数两倍的卫星链链路的隧道数在组件数相同的链路中尽可能小。我们证明了这一结果对于2桥结上的卫星链环是尖锐的。我们还观察到主结果中的链接满足格对秩猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On unknotting tunnel systems of satellite chain links

We prove that the tunnel number of a satellite chain link with a number of components higher than or equal to twice the bridge number of the companion is as small as possible among links with the same number of components. We prove this result to be sharp for satellite chain links over a 2-bridge knot. We also observe that the links in the main result satisfy the genus versus rank conjecture.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.