On (co)ends in $\infty$-categories
Category Theory
2021-03-09 v2 Algebraic Topology
Abstract
In this short note we prove that two definitions of (co)ends in -categories, via twisted arrow -categories and via -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.
Keywords
Cite
@article{arxiv.2008.03758,
title = {On (co)ends in $\infty$-categories},
author = {Rune Haugseng},
journal= {arXiv preprint arXiv:2008.03758},
year = {2021}
}
Comments
14 pages, v2: Added two further descriptions of coends