The enriched Thomason model structure on 2-categories
Abstract
We prove that categories enriched in the Thomason model structure admit a model structure that is Quillen equivalent to the Bergner model structure on simplicial categories, providing a new model for (infinity,1)-categories. Along the way, we construct model structures on modules and monoids in the Thomason model structure and prove that any model structure on the category of small categories that has the same weak equivalences as the Thomason model structure is not a cartesian model structure.
Cite
@article{arxiv.2208.02954,
title = {The enriched Thomason model structure on 2-categories},
author = {Dmitri Pavlov},
journal= {arXiv preprint arXiv:2208.02954},
year = {2023}
}
Comments
21 pages. Comments and questions are welcome. v2: Added Section 4 proving the nonexistence of cartesian model structures and adjusted the proofs in Section 5. v3: Replaced the proof of Theorem 5.12. v4: Identical to the journal version except for formatting and style