vix.ing · top · new · best · stats · spec

A Model Independent Universal Property for the Lax 2-Functor Classifier

2025/10/31 by Gloßner, Johannes
#18N60 #18N65 #55U35 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.27557

Abstract

In this article we provide a model-independent definition of the concept of lax 2-functors from (∞,2)-category theory and show that it agrees with the existing and widely used combinatorial model for those in terms of inert-cocartesian functors, which is utilized for example in the foundational work of Gaitsgory and Rozenblyum on Derived Algebraic Geometry to talk about the lax Gray tensor product.

Related