Algebraic & Geometric Topology

Homotopy (pre)derivators of cofibration categories and quasicategories

Tobias Lenz

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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.

Article information

Source
Algebr. Geom. Topol., Volume 18, Number 6 (2018), 3601-3646.

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

Permanent link to this document
https://projecteuclid.org/euclid.agt/1540605651

Digital Object Identifier
doi:10.2140/agt.2018.18.3601

Mathematical Reviews number (MathSciNet)
MR3868229

Zentralblatt MATH identifier
06990072

Subjects
Primary: 55U35: Abstract and axiomatic homotopy theory

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

Citation

Lenz, Tobias. Homotopy (pre)derivators of cofibration categories and quasicategories. Algebr. Geom. Topol. 18 (2018), no. 6, 3601--3646. doi:10.2140/agt.2018.18.3601. https://projecteuclid.org/euclid.agt/1540605651


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