Geodesic
Homotopy (pre)derivators of cofibration categories and quasicategories
Lenz, Tobias1
1 Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn and Max-Planck-Institut für Mathematik, Bonn, Germany
Algebraic and Geometric Topology, Tome 18 (2018) no. 6, pp. 3601-3646

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2018.18.3601
Classification : 55U35
Keywords: abstract homotopy theory, derivators, quasicategories, $\infty$-categories, cofibration categories

Lenz, Tobias 1

1 Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn and Max-Planck-Institut für Mathematik, Bonn, Germany 
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Lenz, Tobias. Homotopy (pre)derivators of cofibration categories and quasicategories. Algebraic and Geometric Topology, Tome 18 (2018) no. 6, pp. 3601-3646. doi: 10.2140/agt.2018.18.3601

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