Global spaces and the homotopy theory of stacks
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929415597850624 |
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| author | Clough, Adrian Cnossen, Bastiaan Linskens, Sil |
| author_facet | Clough, Adrian Cnossen, Bastiaan Linskens, Sil |
| contents | We show that the $\infty$-category of global spaces is equivalent to the homotopy localization of the $\infty$-category of sheaves on the site of separated differentiable stacks, following a philosophy proposed by Gepner-Henriques. We further prove that this $\infty$-category of sheaves is a cohesive $\infty$-topos and that it fully faithfully contains the singular-cohesive $\infty$-topos of Sati-Schreiber. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06877 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global spaces and the homotopy theory of stacks Clough, Adrian Cnossen, Bastiaan Linskens, Sil Algebraic Topology 55P91 (Primary), 14D23 (Secondary) We show that the $\infty$-category of global spaces is equivalent to the homotopy localization of the $\infty$-category of sheaves on the site of separated differentiable stacks, following a philosophy proposed by Gepner-Henriques. We further prove that this $\infty$-category of sheaves is a cohesive $\infty$-topos and that it fully faithfully contains the singular-cohesive $\infty$-topos of Sati-Schreiber. |
| title | Global spaces and the homotopy theory of stacks |
| topic | Algebraic Topology 55P91 (Primary), 14D23 (Secondary) |
| url | https://arxiv.org/abs/2407.06877 |