On the Figiel-Lindenstrauss-Milman inequality
Metric Geometry
2025-07-22 v5
Abstract
The Figiel-Lindenstrauss-Milman inequality is a fundamental inequality in the combinatorial theory of polytopes. It is classically obtained as a corollary of Milman's version of Dvoretzky's theorem. The goal of this paper is to provide a short and elementary proof of this inequality, derive more general versions of it, and discuss its tightness, where much is not known.
Keywords
Cite
@article{arxiv.2504.13571,
title = {On the Figiel-Lindenstrauss-Milman inequality},
author = {Tomer Milo},
journal= {arXiv preprint arXiv:2504.13571},
year = {2025}
}