A point in a nd-polytope is the barycenter of n points in its d-faces
成果类型：
Article
署名作者：
Dobbins, Michael Gene
署名单位：
Pohang University of Science & Technology (POSTECH)
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-014-0523-2
发表日期：
2015
页码：
287-292
关键词：
摘要：
Using equivariant topology, we prove that it is always possible to find points in the -dimensional faces of a -dimensional convex polytope so that their center of mass is a target point in . Equivalently, the -fold Minkowski sum of a -polytope's -skeleton is that polytope scaled by . This verifies a conjecture by Takeshi Tokuyama.
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