有限全曲率图的收敛性与合痕型
Convergence and isotopy type for graphs of finite total curvature
摘要：
推广了Milnor的有限全曲率纽结有一个同位素内接多边形的结果，证明了任意两个相邻的纽结FTC图都是由一个小的同位素内接的.我们还展示了如何获得尖锐的常数时，开始曲线是光滑的。我们应用我们的主要定理证明了一个极限结果的本质子弧的结。
英文摘要：
Generalizing Milnor's result that an FTC (finite total curvature) knot has an isotopic inscribed polygon, we show that any two nearby knotted FTC graphs are isotopic by a small isotopy. We also show how to obtain sharper constants when the starting curve is smooth. We apply our main theorem to prove a limiting result for essential subarcs of a knot.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
