The rational Gurarii space and its linear isometry group
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909939156385792 |
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| author | Kurka, Ondřej Malicki, Maciej |
| author_facet | Kurka, Ondřej Malicki, Maciej |
| contents | We show that the classes of partial isometries in finite-dimensional polyhedral spaces and in finite-dimensional rational polyhedral spaces do not have the weak amalgamation property. This implies that the linear isometry group of the rational Gurarii space does not have a comeager conjugacy class. Our methods demonstrate also that the classes of finite-dimensional polyhedral spaces and of finite-dimensional rational polyhedral spaces fail to have the Hrushovski property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17730 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The rational Gurarii space and its linear isometry group Kurka, Ondřej Malicki, Maciej Logic Functional Analysis 54H11, 46B20, 03E15 We show that the classes of partial isometries in finite-dimensional polyhedral spaces and in finite-dimensional rational polyhedral spaces do not have the weak amalgamation property. This implies that the linear isometry group of the rational Gurarii space does not have a comeager conjugacy class. Our methods demonstrate also that the classes of finite-dimensional polyhedral spaces and of finite-dimensional rational polyhedral spaces fail to have the Hrushovski property. |
| title | The rational Gurarii space and its linear isometry group |
| topic | Logic Functional Analysis 54H11, 46B20, 03E15 |
| url | https://arxiv.org/abs/2501.17730 |