Localization theory for triangulated categories
Henning Krause
TL;DR
This paper introduces the theory of localization in triangulated categories, explaining how to invert morphisms formally and demonstrating its application within this mathematical framework.
Contribution
It provides a detailed exposition of localization formalism specifically tailored for triangulated categories, a topic not extensively covered before.
Findings
Formalism for inverting morphisms in triangulated categories
Application examples of localization in triangulated categories
Clarification of the theoretical foundations of localization
Abstract
These 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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Logic, programming, and type systems