Volume 18, issue 6 (2018)

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Homotopy (pre)derivators of cofibration categories and quasicategories

Tobias Lenz

Algebraic & Geometric Topology 18 (2018) 3601–3646
Abstract

We prove that the homotopy prederivator of a cofibration category is equivalent to the homotopy prederivator of its associated quasicategory of frames, as introduced by Szumiło. We use this comparison result to deduce various abstract properties of the obtained prederivators.

Keywords
abstract homotopy theory, derivators, quasicategories, $\infty$-categories, cofibration categories
Primary: 55U35