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Pré-Publication, Document De Travail Année : 2022

The Topology of the set of line Transversals

Résumé

We prove that for any set F of n≥2 pairwise disjoint open convex sets in ℝ³, the connected components of the set of lines intersecting every member of F are contractible. The same result holds for directed lines.

Dates et versions

hal-03702551 , version 1 (23-06-2022)

Identifiants

Citer

Otfried Cheong, Xavier Goaoc, Andreas Holmsen. The Topology of the set of line Transversals. 2022. ⟨hal-03702551⟩
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