Finite approximations of countable metric and ultrametric compacta
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917873600954368 |
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| author | Mondéjar, Diego |
| author_facet | Mondéjar, Diego |
| contents | Adapting a homotopy reconstruction theorem for general metric compacta, we show that every countable metric or ultrametric compact space can be topologically reconstructed as the inverse limit of a sequence of finite $T_0$ spaces which are finer approximations of the space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14325 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite approximations of countable metric and ultrametric compacta Mondéjar, Diego General Topology Geometric Topology 54B20, 54C60, 54F17, 54G15 Adapting a homotopy reconstruction theorem for general metric compacta, we show that every countable metric or ultrametric compact space can be topologically reconstructed as the inverse limit of a sequence of finite $T_0$ spaces which are finer approximations of the space. |
| title | Finite approximations of countable metric and ultrametric compacta |
| topic | General Topology Geometric Topology 54B20, 54C60, 54F17, 54G15 |
| url | https://arxiv.org/abs/2412.14325 |