A Model Independent Universal Property for the Lax 2-Functor Classifier
Category Theory
2025-11-03 v1 Algebraic Topology
Abstract
In this article we provide a model-independent definition of the concept of lax -functors from -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.
Keywords
Cite
@article{arxiv.2510.27557,
title = {A Model Independent Universal Property for the Lax 2-Functor Classifier},
author = {Johannes Gloßner},
journal= {arXiv preprint arXiv:2510.27557},
year = {2025}
}