Let S be an ordered set of disjoint unit spheres in R3 We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the entire family has a line transversal. Without the order condition, we show that the existence of a line transversal for every subset of at most 11 spheres from S implies the existence of a line transversal forS.
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机译：让 s 是R 3 的一个有序的不相交单位球体集，我们表明，如果来自 s的最多六个球体的每个子集都承认了一条线横向尊重订购，然后整个家庭都有一个横向线。没有订单条件，我们表明，来自 s 最多11个球体的每个子集的横向存在的存在性意味着对于 s 的存在线横向。
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