Verdier's abelianization functor

Given a triangulated category TT there is an abelian category AA and an additive functor TAT\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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