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Helly-type Problems

Published 19 Aug 2021 in math.CO | (2108.08804v2)

Abstract: In this paper, we present a variety of problems in the interface between combinatorics and geometry around the theorems of Helly, Radon, Carath\'eodory, and Tverberg. Through these problems we describe the fascinating area of Helly-type theorems, and explain some of its main themes and goals.

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