2015/12/21 by Jae Choon Cha, Cha, Jae Choon, Stefan Friedl +3 · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematics and Applications #Metric Geometry (math.MG) #math.GR #math.GT #math.MG #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1512.06699
6 pages
arxiv created 2015/12/21 · openalex publication_date 2015/12/21 · arxiv updated 2015/12/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.