A folk model structure on omega-cat

Yves Lafont (1) , François Métayer (2) , Krzysztof Worytkiewicz

1 IML - Institut de mathématiques de Luminy
2 PPS - Preuves, Programmes et Systèmes

Generalizing Lack's work for 2-categories, we build a model structure on the category of (strict) omega-categories. In fact, we define the generating cofibrations and the weak equivalences. The rest is given by Smith's theorem.

Domaines: Catégories et ensembles [math.CT]

Yves Lafont, François Métayer, Krzysztof Worytkiewicz. A folk model structure on omega-cat. 2007. ⟨hal-00194231⟩