An incomplete real tree with complete segments
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911902530011136 |
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| author | Appenzeller, Raphael De Rosa, Luca Flamm, Xenia Jaeck, Victor |
| author_facet | Appenzeller, Raphael De Rosa, Luca Flamm, Xenia Jaeck, Victor |
| contents | Let $\mathbb{F}$ be the field of real Puiseux series and $\mathcal{T}_\mathbb{F}$ the $\mathbb{Q}$-tree defined by Brumfiel. We show that completing all the segments of $\mathcal{T}_\mathbb{F}$ does not result in a complete metric space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09640 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An incomplete real tree with complete segments Appenzeller, Raphael De Rosa, Luca Flamm, Xenia Jaeck, Victor Geometric Topology Metric Geometry 51M10, 54E50, 20E08 Let $\mathbb{F}$ be the field of real Puiseux series and $\mathcal{T}_\mathbb{F}$ the $\mathbb{Q}$-tree defined by Brumfiel. We show that completing all the segments of $\mathcal{T}_\mathbb{F}$ does not result in a complete metric space. |
| title | An incomplete real tree with complete segments |
| topic | Geometric Topology Metric Geometry 51M10, 54E50, 20E08 |
| url | https://arxiv.org/abs/2212.09640 |