nLab localization theory - contents

General

• localization
• localization functor
• category of fractions
• calculus of fractions
• local object
• coinverter
• reflective subcategory
• coreflective subcategory
• orthogonal subcategory problem
• bicategory of fractions
• enriched localization
• Q-category

Localization of rings

• commutative localization
• Ore localization
• universal localization

Localization in abelian categories

• Gabriel filter
• Gabriel multiplication
• uniform filter
• topologizing subcategory
• Serre quotient category
• torsion theory
• localizing subcategory

In homotopy theory

• simplicial localization
• Bousfield localization
• homotopy category
• derived category