The Grothendieck Construction for $\infty$-Categories Fibered over Categorical Patterns
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917627328200704 |
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| author | Arakawa, Kensuke |
| author_facet | Arakawa, Kensuke |
| contents | We show how to treat families of $\infty$-categories fibered in categorical patterns (e.g., $\infty$-operads and monoidal $\infty$-categories) in terms of fibrations by relativizing the Grothendieck construction. As applications, we construct an analog of the universal cocartesian fibration and explain how to compute limits and colimits of $\infty$-categories fibered in categorical patterns. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01025 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Grothendieck Construction for $\infty$-Categories Fibered over Categorical Patterns Arakawa, Kensuke Category Theory Algebraic Topology We show how to treat families of $\infty$-categories fibered in categorical patterns (e.g., $\infty$-operads and monoidal $\infty$-categories) in terms of fibrations by relativizing the Grothendieck construction. As applications, we construct an analog of the universal cocartesian fibration and explain how to compute limits and colimits of $\infty$-categories fibered in categorical patterns. |
| title | The Grothendieck Construction for $\infty$-Categories Fibered over Categorical Patterns |
| topic | Category Theory Algebraic Topology |
| url | https://arxiv.org/abs/2404.01025 |