Maximal equilateral sets

DOI10.1007/s00454-013-9523-zzbMath1287.46011arXiv1109.5063OpenAlexW3098623549MaRDI QIDQ368756

Rafael Villa, Konrad J. Swanepoel

Publication date: 23 September 2013

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5063

zbMATH Keywords

normed spaceBanach-Mazur distanceBrouwer's fixed point theoremequidistant pointsequilateral setequilateral simplex

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (6)

Equilateral Dimension of Certain Classes of Normed Spaces ⋮ Odd-distance sets and right-equidistant sequences in the maximum and Manhattan metrics ⋮ Equilateral dimension of the Heisenberg group ⋮ Isometric embeddings of a class of separable metric spaces into Banach spaces ⋮ Equilateral sets in Banach spaces of the form $C(K)$ ⋮ Odd-distance and right-equidistant sets in the maximum and Manhattan metrics

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