Corpus ID: 221090122

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

@article{Haugseng2020OnI,
title={On (co)ends in \$\infty\$-categories},
author={R. Haugseng},
journal={arXiv: Category Theory},
year={2020}
}
• R. Haugseng
• Published 2020
• Mathematics
• arXiv: Category Theory
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.
1 Citations

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