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math.AT2019★ 1 cited
The folk model category structure on strict -categories is monoidal
Dimitri Ara, Maxime Lucas
We prove that the folk model category structure on the category of strict -categories, introduced by Lafont, Métayer and Worytkiewicz, is monoidal, first, for the Gray tensor pr…
math.AT2017★ 4 cited
The dendroidal category is a test category
Dimitri Ara, Denis-Charles Cisinski, Ieke Moerdijk
We prove that the category of trees is a test category in the sense of Grothendieck. This implies that the category of dendroidal sets is endowed with the structure of a model…
math.AT2012★ 30 cited
Higher quasi-categories vs higher Rezk spaces
Dimitri Ara
We introduce a notion of n-quasi-categories as fibrant objects of a model category structure on presheaves on Joyal's n-cell category Θ_n. Our definition comes from an idea of Cisi…