Corpus ID: 221090122

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

  title={On (co)ends in \$\infty\$-categories},
  author={R. Haugseng},
  journal={arXiv: Category Theory},
  • 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. 
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