Kobos, Tomasz and Swanepoel, Konrad (2025) Equilateral dimension of the planar Banach-Mazur compactum. Proceedings of the American Mathematical Society. ISSN 0002-9939 (In Press)
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Identification Number: https://doi.org/10.1090/proc/17323
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: | 20 Sep 2025 02:49 |
| URI: | http://eprintstest.lse.ac.uk/id/eprint/127888 |
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