Thomason's colimit theorem for the double category of elements
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866910998315663360 |
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| author | Gill, Andrew Sarazola, Maru |
| author_facet | Gill, Andrew Sarazola, Maru |
| contents | We show that, for any 2-category $C$ and 2-functor $F\colon C \to Cat$, the double category of elements $\iint_C F$ introduced by Grandis and Paré satisfies a version of Thomason's colimit theorem; that is, there is a weak homotopy equivalence $B hocolim F\simeq B(\iint_C F)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08246 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thomason's colimit theorem for the double category of elements Gill, Andrew Sarazola, Maru Category Theory Algebraic Topology 18N10, 55P15, 18D30 We show that, for any 2-category $C$ and 2-functor $F\colon C \to Cat$, the double category of elements $\iint_C F$ introduced by Grandis and Paré satisfies a version of Thomason's colimit theorem; that is, there is a weak homotopy equivalence $B hocolim F\simeq B(\iint_C F)$. |
| title | Thomason's colimit theorem for the double category of elements |
| topic | Category Theory Algebraic Topology 18N10, 55P15, 18D30 |
| url | https://arxiv.org/abs/2506.08246 |