Homotopical presentation of categories

2024/11/24 by Lee, Seunghun
#Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.15790

Abstract

We give a criterion for a functor \(F:C→ B\) between small categories to generate a small presentation of the universal model category \(U(B)\) in the sense of Dugger.

Related

• Universal homotopy theories
• Homotopy theory of small diagrams over large categories
• Comparing homotopy categories
• Small presentations of model categories and Vopěnka's principle
• A model structure on the category of small categories for coverings