On the Figiel-Lindenstrauss-Milman inequality

Fuente: arXiv
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Autore principale: Milo, Tomer
Natura: Preprint
Pubblicazione: 2025
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author Milo, Tomer
author_facet Milo, Tomer
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_13571
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Figiel-Lindenstrauss-Milman inequality
Milo, Tomer
Metric Geometry
52-XX
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.
title On the Figiel-Lindenstrauss-Milman inequality
topic Metric Geometry
52-XX
url https://arxiv.org/abs/2504.13571