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arXiv · 2312.11101

$(\infty,n)$-Limits I: Definition and first consistency results

Lyne Moser·Nima Rasekh·Martina Rovelli
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Abstract

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 $n$.

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Lyne Moser, Nima Rasekh, Martina Rovelli. 2023-12-18. $(\infty,n)$-Limits I: Definition and first consistency results. https://arxiv.org/abs/2312.11101

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