An alternative proof of Petty's theorem on equilateral sets

DOI10.4064/ap109-2-5zbMath1295.46016arXiv1305.6285OpenAlexW3102629032MaRDI QIDQ2845485

Tomasz Kobos

Publication date: 30 August 2013

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6285

zbMATH Keywords

normequilateral dimensionsphereconvex bodyequidistant pointsequilateral settouching translates

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

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