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素纽结

所有交叉数少于或等于7的素纽结。每一种素纽结主要是用交叉数来标记。交叉数相同的素纽结可以用不同的下标进一步分辨。

素纽结(Prime knot)是指不能分解的非平凡纽结。更详细的定义,素纽结不能表示为两个非平凡纽结的连通和。不是素纽结的纽结称为“复合纽结”。

环面扭结是素纽结的一种表范家族。纽结理论中,环面纽结是一种特殊的纽结。它是由一对整参数pq决定。

舒伯特定理

因皓斯特·舒伯特(Horst Schubert)命名的舒伯特定理表明,每一种扭结都可以唯一地表示为素纽结的连通和[1]

参考文献

  1. ^ Schubert, H. "Die eindeutige Zerlegbarkeit eines Knotens in Primknoten". S.-B Heidelberger Akad. Wiss. Math.-Nat. Kl. 1949 (1949), 57–104.

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素纽结
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