On the weak homotopy types of small finite spaces
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_ | 1866929371491598336 |
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| author | Matsushima, Kango Tsukuda, Shuichi |
| author_facet | Matsushima, Kango Tsukuda, Shuichi |
| contents | We show that a connected finite topological space with $12$ or less points has a weak homotopy type of a wedge of spheres. In other words, we show that the order complex of a connected finite poset with $12$ or less points has a homotopy type of a wedge of spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the weak homotopy types of small finite spaces Matsushima, Kango Tsukuda, Shuichi Algebraic Topology Combinatorics 55P15 (Primary) 06A99 (Secondary) We show that a connected finite topological space with $12$ or less points has a weak homotopy type of a wedge of spheres. In other words, we show that the order complex of a connected finite poset with $12$ or less points has a homotopy type of a wedge of spheres. |
| title | On the weak homotopy types of small finite spaces |
| topic | Algebraic Topology Combinatorics 55P15 (Primary) 06A99 (Secondary) |
| url | https://arxiv.org/abs/2404.12564 |