Equilateral sets in finite-dimensional normed spaces

Abstract

This is an expository paper on the largest size of equilateral sets in finite-dimensional normed spaces.

30 pages

References in corpus (2)

• Asymptotic Improvement of the Gilbert-Varshamov Bound on the Size of Binary Codes
• A problem of Kusner on equilateral sets

Cited by in corpus (8)

• A lower bound for the equilateral number of normed spaces
• Combinatorial distance geometry in normed spaces
• On the Transversal Number and VC-Dimension of Families of Positive Homothets of a Convex Body
• Uncountable sets of unit vectors that are separated by more than 1
• Sets of unit vectors with small subset sums
• Equilateral sets in infinite dimensional Banach spaces
• On embeddings of finite subsets of ${\ell }_2$
• Few distance sets in ${\ell }_p$ spaces and ${\ell }_p$ product spaces