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The Grothendieck group of polytopes and norms (1512.06699v1)
Published 21 Dec 2015 in math.GT, math.GR, and math.MG
Abstract: Polytopes in Rn with integral vertices form a monoid under the Minkowski sum, and the Grothendieck construction gives rise to a group. We show that every symmetric polytope is a norm in this group for every n.
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