Universal property of triangulated derivators via Keller's towers

Abstract

In his thesis B. Keller solved the universal problem of the extension of an exact category to its (bounded) derived category by introducing the notions of tower of exact and triangulated categories and proving the universal property in this setting. In this note we show that his result extends to the corresponding universal problem for Grothendieck's derivators.

52 pages, comments are welcome

References in corpus (5)

• Uniqueness of enhancement for triangulated categories
• Cofibrations in Homotopy Theory
• The linearity of traces in monoidal categories and bicategories
• Monoidal derivators and additive derivators
• On the $\infty$-categorical Whitehead theorem and the embedding of quasicategories in prederivators

Cited by in corpus (4)

• $t$-Structures on stable derivators and Grothendieck hearts
• Three real Artin-Tate motives
• Morita theory for stable derivators
• The stable hull of an exact $\infty$-category