Operadic categories and quasi-Gr\'obner categories

Autor:	Burkin, Sergei
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Topology Mathematics - Category Theory Mathematics - Representation Theory 13P10 18A25 05E10 16P40 18M60
Druh dokumentu:	Working Paper
Popis:	Quasi-Gr\"obner categories were introduced by Sam and Snowden to unify treatment of categories in representation stability. We give new examples of quasi-Gr\"obner categories. Most of these categories are operadic categories of Batanin and Markl which are used to encode homotopy coherent structures. This suggests that other operadic categories might also be quasi-Gr\"obner. Additionally, we show that set-operads form a full subcategory of the category of operadic categories. We state several open problems. Comment: Major rewrite, fixed mistakes, clarified connection between operads and operadic categories
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.00983 Zobrazit plný text záznamu View this record from Arxiv