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arxiv: 1310.0910 · v1 · pith:BJZAS3LTnew · submitted 2013-10-03 · 🧮 math.MG

Helly type theorems for the sum of vectors in a normed plane

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keywords planehellynormedtheoremstypevectorscentrallycharacterization
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The main results here are two Helly type theorems for the sum of (at most) unit vectors in a normed plane. Also, we give a new characterization of centrally symmetric convex sets in the plane.

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