Mayer-Vietoris sequences in stable derivators

Moritz Groth; Kate Ponto; Michael Shulman

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arXiv · 1306.2072

Mayer-Vietoris sequences in stable derivators

Moritz Groth·Kate Ponto·Michael Shulman

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Abstract

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.

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BibTeX RIS

Moritz Groth, Kate Ponto, Michael Shulman. 2013-06-09. Mayer-Vietoris sequences in stable derivators. https://arxiv.org/abs/1306.2072

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