Building weight-free Følner sets for Yu's Property A in coarse geometry
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915507099140096 |
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| author | Niblo, Graham Wright, Nick Zhang, Jiawen |
| author_facet | Niblo, Graham Wright, Nick Zhang, Jiawen |
| contents | In this note we study the natural question of when the generalised Følner sets exhibiting property A can be chosen to be subsets of the space itself. We show that for many property A spaces $X$, this is indeed possible. Specifically this holds: for all discrete bounded geometry metric spaces which coarsely have all components unbounded; for all countable discrete groups; and for all box spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06438 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Building weight-free Følner sets for Yu's Property A in coarse geometry Niblo, Graham Wright, Nick Zhang, Jiawen Metric Geometry In this note we study the natural question of when the generalised Følner sets exhibiting property A can be chosen to be subsets of the space itself. We show that for many property A spaces $X$, this is indeed possible. Specifically this holds: for all discrete bounded geometry metric spaces which coarsely have all components unbounded; for all countable discrete groups; and for all box spaces. |
| title | Building weight-free Følner sets for Yu's Property A in coarse geometry |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2405.06438 |