2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223174These notes provide an introduction to the theory of localization for triangulated categories. Localization is a machinery to formally invert morphisms in a category. We explain this formalism in some detail and we show how it is applied to triangulated categories.56 pages, revised and final version, to appear in the proceedings of the "Workshop on Triangulated Categories" in Leeds 2006Category TheoryAlgebraic TopologyK-Theory and HomologyLocalization theory for triangulated categoriestext