$(\infty,n)$-Limits I: Definition and first consistency results
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910082525036544 |
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| author | Moser, Lyne Rasekh, Nima Rovelli, Martina |
| author_facet | Moser, Lyne Rasekh, Nima Rovelli, Martina |
| contents | We give a model-independent definition of limits for diagrams valued in an $(\infty,n)$-category. We show that this definition is compatible with the existing notion of homotopy 2-limits for 2-categories, with the existing notion of $(\infty,1)$-limits for $(\infty,1)$-categories, and with itself across different values of $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11101 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $(\infty,n)$-Limits I: Definition and first consistency results Moser, Lyne Rasekh, Nima Rovelli, Martina Algebraic Topology Category Theory 18N65, 18N10, 18A30, 18D20, 55U35 We give a model-independent definition of limits for diagrams valued in an $(\infty,n)$-category. We show that this definition is compatible with the existing notion of homotopy 2-limits for 2-categories, with the existing notion of $(\infty,1)$-limits for $(\infty,1)$-categories, and with itself across different values of $n$. |
| title | $(\infty,n)$-Limits I: Definition and first consistency results |
| topic | Algebraic Topology Category Theory 18N65, 18N10, 18A30, 18D20, 55U35 |
| url | https://arxiv.org/abs/2312.11101 |