Abstract
We show that stable derivators, like stable model cate- gories, admit Mayer-Vietoris sequences arising from cocartesian squares. Along the way we characterize homotopy exact squares and give a detection result for colimiting diagrams in derivators. As an application, we show that a derivator is stable if and only if its suspension functor is an equivalence.
Citation
Moritz Groth. Kate Ponto. Michael Shulman. "Mayer-Vietoris sequences in stable derivators." Homology Homotopy Appl. 16 (1) 265 - 294, 2014.
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