Opetopic algebras III: Presheaf models of homotopy-coherent opetopic algebras

Autor:	Thanh, Cédric Ho, Subramaniam, Chaitanya Leena
Rok vydání:	2020
Předmět:	Mathematics - Category Theory 18G55 (Primary) 18C20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	For $\Lambda$ the category of free opetopic algebras, we construct a model structure \emph{\`a la Cisinski} on the category of presheaves over $\Lambda$, and show that is is equivalent to opetopic complete Segal spaces. This generalizes the results of Joyal and Tierney in the simplicial case, and of Cisinski and Moerdijk in the planar dendroidal case.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.07924 Zobrazit plný text záznamu View this record from Arxiv