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

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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 half derivators on arbitrary diagram categories. We end by defining the maximal domain for a K-theory of derivators generalising Waldhausen K-theory.
DOI : 10.4171/dm/881
Classification : 18N40, 55U35
Mots-clés : derivators, abstract homotopy theory 
Ian Coley. The theory of half derivators. Documenta mathematica, Tome 27 (2022), pp. 655-698. doi: 10.4171/dm/881
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