Formal category theory in $\infty$-equipments II: Lax functors, monoidality and fibrations

Autor:	Ruit, Jaco
Rok vydání:	2024
Předmět:	Mathematics - Category Theory Mathematics - Algebraic Topology 18D65 18D70 18N65 55U35 18N10
Druh dokumentu:	Working Paper
Popis:	We study the framework of $\infty$-equipments which is designed to produce well-behaved theories for different generalizations of $\infty$-categories in a synthetic and uniform fashion. We consider notions of (lax) functors between these equipments, closed monoidal structures on these equipments, and fibrations internal to these equipments. As a main application, we will demonstrate that the foundations of internal $\infty$-category theory can be readily obtained using this formalism. Comment: 67 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.15190 Zobrazit plný text záznamu View this record from Arxiv