Homotopy (pre)derivators of cofibration categories and quasicategories

Lenz, Tobias

doi:10.2140/agt.2018.18.3601

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Homotopy (pre)derivators of cofibration categories and quasicategories

Tobias Lenz

Algebraic & Geometric Topology 18 (2018) 3601–3646

DOI: 10.2140/agt.2018.18.3601

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

Mathematical Subject Classification 2010

Primary: 55U35

References

Publication

Received: 22 December 2017

Revised: 19 March 2018

Accepted: 11 April 2018

Published: 18 October 2018

Authors

Tobias Lenz
Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn and Max-Planck-Institut für Mathematik Bonn Germany

Volume 18, issue 6 (2018)