Combinatorial Convexity PINELANDS PRESS Kristi Rudenga

Kristi Rudenga

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Combinatorial Convexity PINELANDS PRESS Kristi RudengaThis book is about the combinatorial properties of convex sets, families of convex sets in finite dimensional Euclidean spaces, and finite points sets related to convexity. This area is classic, with theorems of Helly, Caratheodory, and Radon that go back more than a hundred years. At the same time, it is a modern and active field of research with recent results like Tverberg's theorem, the colourful versions of Helly and Caratheodory, and the $(p,