Stacks and catetories in geometry, topology, and algebra
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$2$-Categories Triangulated Categories Algebra Algebraic Topology -- Applied Homological Algebra And Category Theory -- Topological Categories Bicategories And Generalizations Category Theory; Homological Algebra -- Abelian Categories -- Derived Categories Algebraic Stacks Fibrations -- Stacks And Moduli Problems Quantum Theory -- Quantum Field Theory; Related Classical Field Theories -- Topological Field Theories Algebraic Topology