A knot with destabilized bridge spheres of arbitrarily high bridge number
A knot with destabilized bridge spheres of arbitrarily high bridge number
复制标题
具有任意高桥数的不稳定桥球的结
DOI：
10.1112/jlms/jdw004
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Kazuto Takao
中科院分区：
文献类型：
--
作者：
Yeonhee Jang;Tsuyoshi Kobayashi;Makoto Ozawa;Kazuto Takao
我们证明了存在一个无穷族的纽结，对于每个整数，每个纽结都有一个不稳定的桥球。我们还证明了对于每个整数，都存在一个带有失稳3桥球和失稳桥球的纽结。
We show that there exists an infinite family of knots, each of which has, for each integer, a destabilized-bridge sphere. We also show that, for each integer, there exists a knot with a destabilized 3-bridge sphere and a destabilized-bridge sphere.