论文标题
一组线横向的拓扑
The Topology of the set of line Transversals
论文作者
论文摘要
我们证明,对于任何集合的$ f $ $ n \ ge 2 $ 2 $成对的脱节开放式凸套装,以$ \ mathbb {r}^3 $,相交$ f $的每个成员的连接组件的连接组件都是合同的。有向线的结果相同。
We prove that for any set $F$ of $n\ge 2$ pairwise disjoint open convex sets in $\mathbb{R}^3$, the connected components of the set of lines intersecting every member of $F$ are contractible. The same result holds for directed lines.