Flat subsets of Euclidean buildings
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866914414137966592 |
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| author | Appenzeller, Raphael Hébert, Auguste Lytchak, Alexander |
| author_facet | Appenzeller, Raphael Hébert, Auguste Lytchak, Alexander |
| contents | We prove that any convex flat subset in a complete Euclidean building is contained in an apartment of the maximal system of apartments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11658 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flat subsets of Euclidean buildings Appenzeller, Raphael Hébert, Auguste Lytchak, Alexander Metric Geometry Group Theory Geometric Topology 20E42, 51E24, 53C20 We prove that any convex flat subset in a complete Euclidean building is contained in an apartment of the maximal system of apartments. |
| title | Flat subsets of Euclidean buildings |
| topic | Metric Geometry Group Theory Geometric Topology 20E42, 51E24, 53C20 |
| url | https://arxiv.org/abs/2512.11658 |