A generalization of Reifenberg's theorem in R^N for flat cones
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917403093368832 |
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| author | Liang, Xiangyu Zhang, Sicheng |
| author_facet | Liang, Xiangyu Zhang, Sicheng |
| contents | In this paper we prove that if a closed set in R^N is close to a cone over a simplicial complex at each point and at each scale, then it is locally bi-Hölder equivalent to such a cone. This generalizes Reifenberg's Topological Disk Theorem in 1960 and G. David, T. De Pauw and T. Toro's result in 2008. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11418 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A generalization of Reifenberg's theorem in R^N for flat cones Liang, Xiangyu Zhang, Sicheng Classical Analysis and ODEs 28A75, 49Q20, 49Q99 In this paper we prove that if a closed set in R^N is close to a cone over a simplicial complex at each point and at each scale, then it is locally bi-Hölder equivalent to such a cone. This generalizes Reifenberg's Topological Disk Theorem in 1960 and G. David, T. De Pauw and T. Toro's result in 2008. |
| title | A generalization of Reifenberg's theorem in R^N for flat cones |
| topic | Classical Analysis and ODEs 28A75, 49Q20, 49Q99 |
| url | https://arxiv.org/abs/2604.11418 |