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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2309.15974 |
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| _version_ | 1866911819797364736 |
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| author | Abdenbi, Brahim Wise, Daniel T. |
| author_facet | Abdenbi, Brahim Wise, Daniel T. |
| contents | We show that any compact nonpositively curved cube complex $Y$ embeds in a compact nonpositively curved cube complex $R$ where each combinatorial injective partial local isometry of $Y$ extends to an automorphism of $R$. When $Y$ is special and the collection of injective partial local isometries satisfies certain conditions, we show that $R$ can be chosen to be special and the embedding $Y\hookrightarrow R$ can be chosen to be a local isometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15974 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Hrushovski Property for Compact Special Cube Complexes Abdenbi, Brahim Wise, Daniel T. General Topology We show that any compact nonpositively curved cube complex $Y$ embeds in a compact nonpositively curved cube complex $R$ where each combinatorial injective partial local isometry of $Y$ extends to an automorphism of $R$. When $Y$ is special and the collection of injective partial local isometries satisfies certain conditions, we show that $R$ can be chosen to be special and the embedding $Y\hookrightarrow R$ can be chosen to be a local isometry. |
| title | The Hrushovski Property for Compact Special Cube Complexes |
| topic | General Topology |
| url | https://arxiv.org/abs/2309.15974 |