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math.CT2019★ 4 cited
A constructive account of the Kan-Quillen model structure and of Kan's Ex functor
Simon Henry
We give a fully constructive proof that there is a proper cartesian -combinatorial model structure on the category of simplicial sets, whose generating cofibrations and trivial…
math.CT2019★ 3 cited
On the homotopy hypothesis in dimension 3
Simon Henry, Edoardo Lanari
We show that if the canonical left semi-model structure on the category of Grothendieck -groupoids exists, then it satisfies the homotopy hypothesis, i.e. the associated $(\inft…