2021/07/25 by G. Marelli, Marelli, Giovanni · 1 citation
Mathematics · #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2107.11898
openalex publication_date 2021/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show first that derivators can be seen as models of a suitable homotopy limit 2-sketch. After discussing homotopy local λ-presentability of the 2-category of derivators, for some appropriate regular cardinal λ, as an application we prove that derivators of small presentation are homotopy λ-presentable objects.