PreprintarXiv licencearXiv
Models of n-dimensional categories as n→∞
Abstract
We verify that saturated complicial sets model the right limit of the ∞-categories of (∞,n)-categories, whereas the canonical comparison with the left limit is not an equivalence. By contrast the category of strict ω-categories is equivalent to both the right and left limits of the categories of strict n-categories.
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BibTeX
@misc{ozornova2026models,
title = {{Models of n-dimensional categories as $n\to\infty$}},
author = {Viktoriya Ozornova and Martina Rovelli and Tashi Walde},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38698},
eprint = {2610.38698},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38698},
}
RIS
TY - UNPB
TI - Models of n-dimensional categories as n→∞
AU - Viktoriya Ozornova
AU - Martina Rovelli
AU - Tashi Walde
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38698
UR - https://arxiv.org/abs/2610.38698
AB - We verify that saturated complicial sets model the right limit of the ∞-categories of (∞,n)-categories, whereas the canonical comparison with the left limit is not an equivalence. By contrast the category of strict ω-categories is equivalent to both the right and left limits of the categories of strict n-categories.
ER -