## Joyal's model structure for quasi-categories is symmetric simplicial

### Alexander Campbell – 9 May 2018

In this talk I will show that Joyal's model structure for quasi-categories on the category of simplicial sets is enriched as a model category over the Rosicky--Tholen--Cisinski cartesian model structure on the category of symmetric simplicial sets (= presheaves on the category of non-empty finite sets), which is Quillen equivalent to the model structure for Kan complexes on the category of simplicial sets

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