A universal space for finite topological spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866917850473562112 |
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| author | Mondéjar, Diego |
| author_facet | Mondéjar, Diego |
| contents | We find universal spaces for Alexandroff and finite spaces and explore some of its topological properties as well as their description as inverse limits of finite spaces and Alexandroff extensions. They can be used as a natural environment to describe shape properties of compact metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_04832 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A universal space for finite topological spaces Mondéjar, Diego General Topology Algebraic Topology Geometric Topology Primary 54B20, 54C25, Secondary 54A10, 54A05, 54D10, 54D35 We find universal spaces for Alexandroff and finite spaces and explore some of its topological properties as well as their description as inverse limits of finite spaces and Alexandroff extensions. They can be used as a natural environment to describe shape properties of compact metric spaces. |
| title | A universal space for finite topological spaces |
| topic | General Topology Algebraic Topology Geometric Topology Primary 54B20, 54C25, Secondary 54A10, 54A05, 54D10, 54D35 |
| url | https://arxiv.org/abs/2111.04832 |