Examples of Ricci limit spaces with non-integer Hausdorff dimension
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866915391277629440 |
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| author | Pan, Jiayin Wei, Guofang |
| author_facet | Pan, Jiayin Wei, Guofang |
| contents | We give the first examples of collapsing Ricci limit spaces on which the Hausdorff dimension of the singular set exceeds that of the regular set; moreover, the Hausdorff dimension of these spaces can be non-integers. This answers a question of Cheeger-Colding about collapsing Ricci limit spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_03967 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Examples of Ricci limit spaces with non-integer Hausdorff dimension Pan, Jiayin Wei, Guofang Differential Geometry We give the first examples of collapsing Ricci limit spaces on which the Hausdorff dimension of the singular set exceeds that of the regular set; moreover, the Hausdorff dimension of these spaces can be non-integers. This answers a question of Cheeger-Colding about collapsing Ricci limit spaces. |
| title | Examples of Ricci limit spaces with non-integer Hausdorff dimension |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2106.03967 |