Localisation and colocalisation of triangulated categories at thick subcategories

Hvedri Inassaridze, Tamaz Kandelaki, Ralf Meyer

Abstract


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.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15196

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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