No 2-knot has triple point number two or three
No 2-knot has triple point number two or three
复制标题
没有 2 节具有第二或第三个三点
DOI：
10.18910/12413
复制
发表时间：
2005
影响因子：
0.4
通讯作者：
S. Satoh
中科院分区：
文献类型：
--
作者：
S. Satoh
众所周知，当且仅当它是带状结时，2 结的三相点数小于 2。我们证明不存在二号或三号三点的 2 结。因此，二捻纺三叶形，即四号三点的 2 结，是最简单的非带状 2 结之一。
It is known that a 2-knot has the triple point number less than two if and only if it is of ribbon-type. We prove that there is no 2-knot of triple point number two or three. Hence the 2-twist-spun trefoil, which is known as a 2-knot of triple point number four, is one of the simplest non-ribbon 2-knots.