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.
Original language | English |
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Pages (from-to) | 265-294 |
Number of pages | 30 |
Journal | Homology, Homotopy and Applications |
Volume | 16 |
Issue number | 1 |
DOIs | |
State | Published - 2014 |
Bibliographical note
Publisher Copyright:© 2014, International Press.
Keywords
- Derivator
- Homotopy exact square
- Mayer-Vietoris sequence
ASJC Scopus subject areas
- Mathematics (miscellaneous)