Abstract
We define a -theory for pointed right derivators and show that it agrees with Waldhausen -theory in the case where the derivator arises from a good Waldhausen category. This -theory is not invariant under general equivalences of derivators, but only under a stronger notion of equivalence that is defined by considering a simplicial enrichment of the category of derivators. We show that derivator -theory, as originally defined, is the best approximation to Waldhausen -theory by a functor that is invariant under equivalences of derivators.
Citation
Fernando Muro. Georgios Raptis. "$K\mkern-2mu$-theory of derivators revisited." Ann. K-Theory 2 (2) 303 - 340, 2017. https://doi.org/10.2140/akt.2017.2.303
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