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arXiv · 0912.2088

Localisation and colocalisation of triangulated categories at thick subcategories

Hvedri Inassaridze·Tamaz Kandelaki·Ralf Meyer
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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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Hvedri Inassaridze, Tamaz Kandelaki, Ralf Meyer. 2009-12-10. Localisation and colocalisation of triangulated categories at thick subcategories. https://arxiv.org/abs/0912.2088

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