R^3中线段的横截数
The number of transversals to line segments in R^3
摘要：
我们完整地描述了R^3中n个线段集合的断面的连通分量的结构。我们证明了R^3中n>2的任意线段允许0，1，.，n个或无穷多个线横截。在后一种情况下，横截形成多达n个连通分量。
英文摘要：
We completely describe the structure of the connected components of transversals to a collection of n line segments in R^3. We show that n>2 arbitrary line segments in R^3 admit 0, 1, ..., n or infinitely many line transversals. In the latter case, the transversals form up to n connected components.
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。
