Verdier's abelianization functor

Given a triangulated category $T$ there is an abelian category $A$ and an additive functor $T\to A$ satisfying certain universal property; this functor is due to Verdier and is called the Verdier’s abelianization functor. A readable and comprehensive introduction is in the monograph

- A. Neeman,
*Triangulated categories*, Annals of Mathematics Studies**148**, Princeton University Press 2001, viii+449 pp.

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