Mayer-Vietoris sequences in stable derivators

Moritz Groth, Kate Ponto, Michael Shulman

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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.

Original languageEnglish
Pages (from-to)265-294
Number of pages30
JournalHomology, Homotopy and Applications
Issue number1
StatePublished - 2014

Bibliographical note

Publisher Copyright:
© 2014, International Press.


  • Derivator
  • Homotopy exact square
  • Mayer-Vietoris sequence

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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