$(\infty,n)$-Limits II: Comparison across models
Algebraic Topology
2024-08-12 v1 Category Theory
Abstract
We show that the notion of -limit defined using the enriched approach and the one defined using the internal approach coincide. We also give explicit constructions of various double -categories implementing various join constructions, slice constructions and cone constructions, and study their properties. We further prove that key examples of -categories are (co)complete.
Keywords
Cite
@article{arxiv.2408.04742,
title = {$(\infty,n)$-Limits II: Comparison across models},
author = {Lyne Moser and Martina Rovelli and Nima Rasekh},
journal= {arXiv preprint arXiv:2408.04742},
year = {2024}
}
Comments
45 pages; comments welcome