A sketch for derivators

Abstract

We show first that derivators can be seen as models of a suitable homotopy limit 2-sketch. After discussing homotopy local $\lambda$-presentability of the 2-category of derivators, for some appropriate regular cardinal $\lambda$, as an application we prove that derivators of small presentation are homotopy $\lambda$-presentable objects.

Paper to be published in Cahiers de Topologie et Géométrie Différentielle Catégoriques

References in corpus (3)

• Higher Topos Theory
• Higher Operads, Higher Categories
• Theories homotopiques de Quillen combinatoires et derivateurs de Grothendieck