Resumen de Localisation and colocalisation of triangulated categories at thick subcategories

Hvedri Inassaridze, Tamaz Kandelaki, Ralf Meyer

• Given a thick subcategory of a triangulated category, we define a colocalisation and a natural long exact sequence that involves the original category and its localisation and colocalisation at the subcategory. Similarly, we construct a natural long exact sequence containing the canonical map between a homological functor and its total derived functor with respect to a thick subcategory.