Geodesic
Mayer-Vietoris sequences in stable derivators
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 265-294.

Voir la notice de l'article provenant de la source International Press of Boston

We show that stable derivators, like stable model categories, 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.
DOI : 10.4310/HHA.2014.v16.n1.a15
Classification : 55U35
Keywords: derivator, homotopy exact square, Mayer-Vietoris sequence 
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Moritz Groth; Kate Ponto; Michael Shulman. Mayer-Vietoris sequences in stable derivators. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 265-294. doi : 10.4310/HHA.2014.v16.n1.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a15/

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