An elementary proof of Sierksma's conjecture for seven points in the plane
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918457258278912 |
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| author | Soberón, Pablo |
| author_facet | Soberón, Pablo |
| contents | We give a new simple geometric proof that any seven points in the plane have four Tverberg partitions into three sets. This is the only confirmed non-trivial case of Sierksma's conjecture. Earlier proofs, by Stephan Hell, relied on topological arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18485 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An elementary proof of Sierksma's conjecture for seven points in the plane Soberón, Pablo Combinatorics 52A35 We give a new simple geometric proof that any seven points in the plane have four Tverberg partitions into three sets. This is the only confirmed non-trivial case of Sierksma's conjecture. Earlier proofs, by Stephan Hell, relied on topological arguments. |
| title | An elementary proof of Sierksma's conjecture for seven points in the plane |
| topic | Combinatorics 52A35 |
| url | https://arxiv.org/abs/2604.18485 |