Two-variable fibrations, factorisation systems and $\infty $ -categories of spans

Autor: Rune Haugseng, Fabian Hebestreit, Sil Linskens, Joost Nuiten
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Forum of Mathematics, Sigma, Vol 11 (2023)
Druh dokumentu: article
ISSN: 2050-5094
DOI: 10.1017/fms.2023.107
Popis: We prove a universal property for $\infty $ -categories of spans in the generality of Barwick’s adequate triples, explicitly describe the cocartesian fibration corresponding to the span functor, and show that the latter restricts to a self-equivalence on the class of orthogonal adequate triples, which we introduce for this purpose.
Databáze: Directory of Open Access Journals