Resumen
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.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 265-294 |
| Número de páginas | 30 |
| Publicación | Homology, Homotopy and Applications |
| Volumen | 16 |
| N.º | 1 |
| DOI | |
| Estado | Published - 2014 |
Nota bibliográfica
Publisher Copyright:© 2014, International Press.
Financiación
| Financiadores | Número del financiador |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | 1207670 |
ASJC Scopus subject areas
- Mathematics (miscellaneous)
Huella
Profundice en los temas de investigación de 'Mayer-Vietoris sequences in stable derivators'. En conjunto forman una huella única.Citar esto
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