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arxiv: 1606.01559 · v2 · pith:PWEFI3G6new · submitted 2016-06-05 · 🧮 math.CO

A note on the tolerated Tverberg theorem

classification 🧮 math.CO
keywords theoremtoleratedtverbergachieveasymptoticallyboundcertaindimension
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In this paper we give an asymptotically tight bound for the tolerated Tverberg Theorem when the dimension and the size of the partition are fixed. To achieve this we study certain partitions of order-type homogeneous sets and use a generalization of the Erd\H{o}s-Szekeres theorem.

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