Spaces of Geodesic Triangulations Are Cells
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866917756828385280 |
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| author | Luo, Yanwen Wu, Tianqi Zhu, Xiaoping |
| author_facet | Luo, Yanwen Wu, Tianqi Zhu, Xiaoping |
| contents | It has been shown that spaces of geodesic triangulations of surfaces with negative curvature are contractible. Here we propose an approach aiming to prove that the spaces of geodesic triangulations of a surface with negative curvature are homeomorphic to Euclidean spaces $\mathbb{R}^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_10833 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spaces of Geodesic Triangulations Are Cells Luo, Yanwen Wu, Tianqi Zhu, Xiaoping Geometric Topology It has been shown that spaces of geodesic triangulations of surfaces with negative curvature are contractible. Here we propose an approach aiming to prove that the spaces of geodesic triangulations of a surface with negative curvature are homeomorphic to Euclidean spaces $\mathbb{R}^n$. |
| title | Spaces of Geodesic Triangulations Are Cells |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2204.10833 |