Borel asymptotic dimension of the Roller boundary of finite dimensional CAT(0) cube complexes
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913839928311808 |
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| author | Oyakawa, Koichi |
| author_facet | Oyakawa, Koichi |
| contents | We prove that for any countable finite dimensional CAT(0) cube complex, the Borel median graph on its Roller compactification has the Borel asymptotic dimension bounded from above by its dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Borel asymptotic dimension of the Roller boundary of finite dimensional CAT(0) cube complexes Oyakawa, Koichi Geometric Topology Group Theory Logic We prove that for any countable finite dimensional CAT(0) cube complex, the Borel median graph on its Roller compactification has the Borel asymptotic dimension bounded from above by its dimension. |
| title | Borel asymptotic dimension of the Roller boundary of finite dimensional CAT(0) cube complexes |
| topic | Geometric Topology Group Theory Logic |
| url | https://arxiv.org/abs/2505.10334 |