Equilateral dimension of the planar Banach-Mazur compactum

Kobos, Tomasz and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2025) Equilateral dimension of the planar Banach-Mazur compactum. Proceedings of the American Mathematical Society. ISSN 0002-9939 (In Press)

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Abstract

We prove that there are arbitrarily large equilateral sets of planar and symmetric convex bodies in the Banach–Mazur distance. The order of the size of these d-equilateral sets asymptotically matches the bounds of the size of maximum-size d-separated sets (determined by Bronstein in 1978), showing that our construction is essentially optimal

Item Type:	Article
Additional Information:	© 2025 The Author(s)
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	11 Apr 2025 11:21
Last Modified:	23 May 2025 15:06
URI:	http://eprints.lse.ac.uk/id/eprint/127888

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