Tiling spaces are covering spaces over irrational tori
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917967410757632 |
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| author | Alatorre, Darío Rodríguez-Guzmán, Diego |
| author_facet | Alatorre, Darío Rodríguez-Guzmán, Diego |
| contents | We study tiling spaces in the diffeological context. We prove some basic diffeological properties for tiling spaces and analyze two different fiber bundle structures of tiling spaces over irrational tori. We use the diffeological classification of irrational tori which captures their arithmetical escence in order to inherit the diffeological equivalence in the context of one-dimensional tiling spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00508 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tiling spaces are covering spaces over irrational tori Alatorre, Darío Rodríguez-Guzmán, Diego Differential Geometry Dynamical Systems 37B50, 58A40, 52C23 We study tiling spaces in the diffeological context. We prove some basic diffeological properties for tiling spaces and analyze two different fiber bundle structures of tiling spaces over irrational tori. We use the diffeological classification of irrational tori which captures their arithmetical escence in order to inherit the diffeological equivalence in the context of one-dimensional tiling spaces. |
| title | Tiling spaces are covering spaces over irrational tori |
| topic | Differential Geometry Dynamical Systems 37B50, 58A40, 52C23 |
| url | https://arxiv.org/abs/2404.00508 |