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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2503.00864 |
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| _version_ | 1866909520545972224 |
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| author | Foertsch, Thomas Lytchak, Alexander Soultanis, Elefterios |
| author_facet | Foertsch, Thomas Lytchak, Alexander Soultanis, Elefterios |
| contents | We prove that any complete metric space has a unique decomposition as a direct product of a possibly finite or zero-dimensional Hilbert space and a space that does not split off lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00864 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hilbert space factor of metric spaces Foertsch, Thomas Lytchak, Alexander Soultanis, Elefterios Differential Geometry 53C20, 51F99 We prove that any complete metric space has a unique decomposition as a direct product of a possibly finite or zero-dimensional Hilbert space and a space that does not split off lines. |
| title | Hilbert space factor of metric spaces |
| topic | Differential Geometry 53C20, 51F99 |
| url | https://arxiv.org/abs/2503.00864 |