论文标题

在(CO)以$ \ infty $ - 类别结束

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

论文作者

Haugseng, Rune

论文摘要

在此简短说明中,我们证明(CO)的两个定义以$ \ infty $ - 类别结束,通过扭曲的箭头$ \ infty $ - 类别以及通过$ \ infty $ - 简单类别的简单类别等效。我们还表明,可以将加权(CO)限制定义为某些(CO)末端,也可以分别描述为(CO)限制在左右纤维上。

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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