Mathematics > Metric Geometry
[Submitted on 17 Mar 2025
(v1)
, last revised 9 Apr 2025 (this version, v3)]
Title: A very short proof of the Figiel-Lindenstrauss-Milman theorem
Title: Figiel-Lindenstrauss-Milman定理的一个非常短的证明
Abstract: We provide a short proof for the Figiel, Lindenstrauss and Milman inequality regarding the number of vertices and faces of certain polytope, with an explicit bound on the universal constant involved. The proof is completely elementary and avoids any form of Dvoretzky's theorem, as well as the spherical isoperimetric inequality.
Submission history
From: Tomer Milo [view email][v1] Mon, 17 Mar 2025 18:50:39 UTC (4 KB)
[v2] Mon, 24 Mar 2025 19:44:08 UTC (4 KB)
[v3] Wed, 9 Apr 2025 12:45:06 UTC (4 KB)
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