Localisation and colocalisation of triangulated categories at thick subcategories
Category Theory
2015-10-23 v1
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.
Keywords
Cite
@article{arxiv.0912.2088,
title = {Localisation and colocalisation of triangulated categories at thick subcategories},
author = {Hvedri Inassaridze and Tamaz Kandelaki and Ralf Meyer},
journal= {arXiv preprint arXiv:0912.2088},
year = {2015}
}
Comments
11 pages