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Localisation and colocalisation of triangulated categories at thick subcategories.

Пт, 12/11/2009 - 16:01 — SomNambul
Authors: Ralf Meyer, Hvedri Inassaridze, Tamaz Kandelaki
Subjects: Category Theory
link: http://arxiv.org/abs/0912.2088
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.

sd

Втр, 01/17/2012 - 07:19 — xxoo

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