Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908745881092096 |
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| author | Li, Jun Li, Yanzhe Liu, Pingping |
| author_facet | Li, Jun Li, Yanzhe Liu, Pingping |
| contents | In this paper, we study the quasisymmetric Hausdorff minimality of homogeneous Moran sets. First, we obtain the Hausdorff dimension formula of two classes of homogeneous Moran sets which satisfy some conditions. Second, we show two special classes of homogeneous Moran sets with Hausdorff dimension 1 are quasisymmetrically Hausdorff minimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00540 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets Li, Jun Li, Yanzhe Liu, Pingping General Topology 28A78, 28A80 In this paper, we study the quasisymmetric Hausdorff minimality of homogeneous Moran sets. First, we obtain the Hausdorff dimension formula of two classes of homogeneous Moran sets which satisfy some conditions. Second, we show two special classes of homogeneous Moran sets with Hausdorff dimension 1 are quasisymmetrically Hausdorff minimal. |
| title | Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets |
| topic | General Topology 28A78, 28A80 |
| url | https://arxiv.org/abs/2510.00540 |