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arXiv · 2504.13571

On the Figiel-Lindenstrauss-Milman inequality

Tomer Milo
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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.

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Tomer Milo. 2025-07-20. On the Figiel-Lindenstrauss-Milman inequality. https://arxiv.org/abs/2504.13571

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