Localisation and colocalisation of triangulated categories at thick subcategories

Details Localisation and colocalisation of triangulated categories at thick subcategories Localisation and colocalisation of triangulated categories at thick subcategories

2009-12-10

arxiv.org/abs/0912.2088v1

Mathematics

Category Theory

11 pages

Scientific paper

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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