Barycenters of points that are constrained to a polytope skeleton

2014/11/17 by Pavle V. M. Blagojević, Pavle V. M. Blagojevi, Blagojević, Pavle V. M. +4
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #math.CO #math.MG #msc:51M04 #msc:51M20 #msc:52B11

paper · pdf · doi:10.48550/arxiv.1411.4417

2 pages. This manuscript is now part of arXiv:1510.07984

arxiv created 2015/11/13 · arxiv updated 2015/11/16

Abstract

We give a short and simple proof of a recent result of Dobbins that any point in an nd-polytope is the barycenter of n points in the d-skeleton. This new proof builds on the constraint method that we recently introduced to prove Tverberg-type results.

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