Open Access
2018 Homotopy (pre)derivators of cofibration categories and quasicategories
Tobias Lenz
Algebr. Geom. Topol. 18(6): 3601-3646 (2018). 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.

Citation

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Tobias Lenz. "Homotopy (pre)derivators of cofibration categories and quasicategories." Algebr. Geom. Topol. 18 (6) 3601 - 3646, 2018. https://doi.org/10.2140/agt.2018.18.3601

Information

Received: 22 December 2017; Revised: 19 March 2018; Accepted: 11 April 2018; Published: 2018
First available in Project Euclid: 27 October 2018

zbMATH: 06990072
MathSciNet: MR3868229
Digital Object Identifier: 10.2140/agt.2018.18.3601

Subjects:
Primary: 55U35

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

Rights: Copyright © 2018 Mathematical Sciences Publishers

Vol.18 • No. 6 • 2018
MSP
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