发表机构
Tsinghua University（清华大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明无穷多纽结不能嵌入谢尔宾斯基四面体的1-骨架，通过球面分解权至多6实现。
AI 中文摘要
本文证明了存在无穷多个纽结无法嵌入谢尔宾斯基四面体分形的有限迭代的1-骨架中。我们通过证明这样的嵌入会诱导一个权至多为6的球面分解来做到这一点。存在无穷多个纽结的球面宽度大于该值。
英文摘要
In this paper we prove that there are infinitely many knots that cannot be embedded in the 1-skeletons of the finite iterations of the Sierpinski tetrahedron fractal. We do this by proving that such an embedding induces a sphere decomposition of weight at most 6. There are infinitely many knots with spherewidth greater than this.
