A problem of Kusner on equilateral sets

Details A problem of Kusner on equilateral sets A problem of Kusner on equilateral sets

2003-09-19

arxiv.org/abs/math/0309317v2

Archiv der Mathematik (Basel) 83 (2004), no. 2, 164--170

Mathematics

Metric Geometry

6 pages. Small correction to Proposition 2

Scientific paper

10.1007/s00013-003-4840-8

R. B. Kusner [R. Guy, Amer. Math. Monthly 90 (1983), 196--199] asked whether a set of vectors in a d-dimensional real vector space such that the l-p distance between any pair is 1, has cardinality at most d+1. We show that this is true for p=4 and any d >= 1, and false for all 10$ depends on p.

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