Geodesic
The theory of half derivators
Documenta mathematica, Tome 27 (2022), pp. 655-698.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We review the theory of derivators from the ground up, defining new classes of derivators which were originally motivated by derivator K-theory. We prove that many old arguments that relied on homotopical bicompleteness hold also for one-sided \textit{half derivators} on arbitrary diagram categories. We end by defining the maximal domain for a K-theory of derivators generalising Waldhausen K-theory.
Classification : 18N40, 55U35
Keywords: derivators, abstract homotopy theory, parametrized category, fibred category 
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     author = {Coley, Ian},
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Coley, Ian. The theory of half derivators. Documenta mathematica, Tome 27 (2022), pp. 655-698. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a50/