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

Johannes Gloßner

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arXiv · 2510.27557

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

Johannes Gloßner

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Abstract

In this article we provide a model-independent definition of the concept of lax $2$-functors from $(\infty,2)$-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.

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BibTeX RIS

Johannes Gloßner. 2025-10-31. A Model Independent Universal Property for the Lax 2-Functor Classifier. https://arxiv.org/abs/2510.27557

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