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arXiv · 2008.03758

On (co)ends in $\infty$-categories

Rune Haugseng
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Abstract

In this short note we prove that two definitions of (co)ends in $\infty$-categories, via twisted arrow $\infty$-categories and via $\infty$-categories of simplices, are equivalent. We also show that weighted (co)limits, which can be defined as certain (co)ends, can alternatively be described as (co)limits over left and right fibrations, respectively.

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Rune Haugseng. 2020-08-09. On (co)ends in $\infty$-categories. https://arxiv.org/abs/2008.03758

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