A model structure on prederivators for (∞, 1)-categories

Daniel Fuentes-Keuthan, Magdalena Kedziorek, Martina Rovelli

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

By theorems of Carlson and Renaudin, the theory of (∞, 1)-categories
embeds in that of prederivators. The purpose of this paper is to give a two-fold answer to the inverse problem: understanding which prederivators model (∞, 1)-categories, either strictly or in a homotopical sense. First, we characterize which prederivators arise on
the nose as prederivators associated to quasicategories. Next, we put a model structure on the category of prederivators and strict natural transformations, and prove a Quillen equivalence with the Joyal model structure for quasicategories.
Original languageEnglish
Pages (from-to)1220-1245
JournalTheory and Applications of Categories
Volume34
Issue number39
Publication statusPublished - 2019

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