论文标题

一组线横向的拓扑

The Topology of the set of line Transversals

论文作者

Cheong, Otfried, Goaoc, Xavier, Holmsen, Andreas F.

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.

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