$(\infty,n)$-Limits I: Definition and first consistency results
Algebraic Topology
2026-03-31 v3 Category Theory
Abstract
We give a model-independent definition of limits for diagrams valued in an -category. We show that this definition is compatible with the existing notion of homotopy 2-limits for 2-categories, with the existing notion of -limits for -categories, and with itself across different values of .
Keywords
Cite
@article{arxiv.2312.11101,
title = {$(\infty,n)$-Limits I: Definition and first consistency results},
author = {Lyne Moser and Nima Rasekh and Martina Rovelli},
journal= {arXiv preprint arXiv:2312.11101},
year = {2026}
}
Comments
31 pages; v2+v3 are model-independent versions of v1; v3 is the final version to appear in Canadian Journal of Mathematics