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

2020/01/22 by Thanh, Cédric Ho, Subramaniam, Chaitanya Leena
#18C20 (Secondary) #18G55 (Primary) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.07924

Abstract

For Λ the category of free opetopic algebras, we construct a model structure à la Cisinski on the category of presheaves over Λ, 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.

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