Localisation and colocalisation of triangulated categories at thick subcategories
- Autores: Hvedri Inassaridze, Tamaz Kandelaki, Ralf Meyer
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 110, Nº 1, 2012, págs. 59-74
- Idioma: inglés
- DOI: 10.7146/math.scand.a-15196
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Resumen
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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