The enriched Thomason model structure on 2-categories

Autor:	Pavlov, Dmitri
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Topology Mathematics - Category Theory Mathematics - K-Theory and Homology 18N40 (Primary) 18N60 18N70 18N10 18N50 (Secondary)
Zdroj:	Journal of Pure and Applied Algebra 228:5 (2024), 107496
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jpaa.2023.107496
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.02954 Zobrazit plný text záznamu View this record from Arxiv