Mathematics > Metric Geometry
[Submitted on 29 May 2022 (v1), last revised 5 Sep 2024 (this version, v2)]
Title:The Topology of the set of line Transversals
View PDF HTML (experimental)Abstract: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.
Submission history
From: Andreas Holmsen [view email][v1] Sun, 29 May 2022 14:44:20 UTC (45 KB)
[v2] Thu, 5 Sep 2024 08:29:15 UTC (45 KB)
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