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A Helly-type theorem for unions of convex sets

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Publication:1361809
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DOI10.1007/PL00009305zbMath0889.52009MaRDI QIDQ1361809

Ji{ří} Matoušek

Publication date: 28 July 1997

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)


zbMATH Keywords

Helly-type theoremsunions of convex setstopological Helly-type theorems


Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35)


Related Items (8)

Embeddings of \(k\)-complexes into \(2k\)-manifolds ⋮ Bounding Helly Numbers via Betti Numbers ⋮ Helly’s theorem: New variations and applications ⋮ Hardness of almost embedding simplicial complexes in \(\mathbb {R}^d\) ⋮ Helly numbers of acyclic families ⋮ Some Discrete Properties of the Space of Line Transversals to Disjoint Balls ⋮ Contraction and expansion of convex sets ⋮ Helly-type problems




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