A very short proof of the Figiel-Lindenstrauss-Milman theorem
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909572590993408 |
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| author | Milo, Tomer |
| author_facet | Milo, Tomer |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A very short proof of the Figiel-Lindenstrauss-Milman theorem Milo, Tomer Metric Geometry 52A23 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. |
| title | A very short proof of the Figiel-Lindenstrauss-Milman theorem |
| topic | Metric Geometry 52A23 |
| url | https://arxiv.org/abs/2503.14548 |