An Upper Bound For Hausdorff Distance Between Finite-Dimensional Hyperbolic Space and Its Medianization
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911739399897088 |
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| author | Zhou, Yongbin |
| author_facet | Zhou, Yongbin |
| contents | We use de Sitter space to construct a concrete model for the measured wall structure of finite-dimensional hyperbolic space in hyperbolic model I^n, which will induce a medianization M(I^n). We get an upper bound for the Hausdorff distance between I^n and M(I^n). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01721 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An Upper Bound For Hausdorff Distance Between Finite-Dimensional Hyperbolic Space and Its Medianization Zhou, Yongbin Geometric Topology We use de Sitter space to construct a concrete model for the measured wall structure of finite-dimensional hyperbolic space in hyperbolic model I^n, which will induce a medianization M(I^n). We get an upper bound for the Hausdorff distance between I^n and M(I^n). |
| title | An Upper Bound For Hausdorff Distance Between Finite-Dimensional Hyperbolic Space and Its Medianization |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2606.01721 |