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math.CT2021
An homotopical description of small presheaves
Brice Le Grignou
This article describes the cocompletion of a category with finite limits as the homotopy category of some equivalence 2-groupoids in coproducts of elements of . This yields…
math.CT2021
Localisation of cubical model categories
Brice Le Grignou
In this article we introduce the notion of a square structure on a model category, that generalises cubical model categories. We then show that under some homotopical conditions on…