Derived Stone Embedding
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912962456846336 |
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| author | Kaminski, Amos |
| author_facet | Kaminski, Amos |
| contents | A classical result, the Stone embedding, characterizes profinite sets as totally disconnected, compact Hausdorff spaces. Building on "Pyknotic objects, I. Basic notions", which introduced a derived Stone embedding of the pro-category of $π$-finite spaces into pyknotic spaces, this paper uses the $\infty$-topoi machinery to partially characterize the essential image of this embedding, extending the classical characterization to the derived setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_24077 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derived Stone Embedding Kaminski, Amos Algebraic Topology Category Theory A classical result, the Stone embedding, characterizes profinite sets as totally disconnected, compact Hausdorff spaces. Building on "Pyknotic objects, I. Basic notions", which introduced a derived Stone embedding of the pro-category of $π$-finite spaces into pyknotic spaces, this paper uses the $\infty$-topoi machinery to partially characterize the essential image of this embedding, extending the classical characterization to the derived setting. |
| title | Derived Stone Embedding |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2410.24077 |