User:Owsteele/Books/CategoryTheory
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Category Theory[edit]
- 2-category
- Abelian category
- Additive category
- Adjoint functors
- Allegory (category theory)
- Amnestic functor
- Auto magma object
- Automorphism
- Beck's monadicity theorem
- Bicategory
- Biproduct
- Braided monoidal category
- Cartesian closed category
- Catamorphism
- Categorical bridge
- Categorical logic
- Category (mathematics)
- Category of abelian groups
- Category of groups
- Category of magmas
- Category of medial magmas
- Category of metric spaces
- Category of preordered sets
- Category of relations
- Category of rings
- Category of sets
- Category of small categories
- Category of topological spaces
- Category of vector spaces
- Category theory
- Closed monoidal category
- Coalgebra
- Coequalizer
- Coherence condition
- Combinatorial species
- Comma category
- Commutative diagram
- Complete category
- Concrete category
- Cone (category theory)
- Coproduct
- Dagger category
- Dagger compact category
- Dagger symmetric monoidal category
- Derived category
- Derived functor
- Diagonal functor
- Diagram (category theory)
- Dinatural transformation
- Direct limit
- Discrete category
- Distributive law between monads
- Dual (category theory)
- End (category theory)
- Endomorphism
- Enriched category
- Epimorphism
- Equaliser (mathematics)
- Equivalence of categories
- Essentially surjective functor
- Exponential object
- F-algebra
- F-coalgebra
- Fibred category
- Filtered category
- Five lemma
- Forgetful functor
- Free object
- Full and faithful functors
- Functor
- Functor category
- Global element
- Glossary of category theory
- Group object
- Groupoid
- Higher category theory
- Hom functor
- Homotopy category
- Image (category theory)
- Initial algebra
- Initial and terminal objects
- Injective cogenerator
- Inverse limit
- Isomorphism
- Isomorphism of categories
- Kan extension
- Kernel (category theory)
- Limit (category theory)
- Localization of a category
- Mitchell's embedding theorem
- Model category
- Monad (category theory)
- Monoidal adjunction
- Monoidal category
- Monoidal functor
- Monoidal natural transformation
- Monomorphism
- Morphism
- N-category
- Natural number object
- Natural transformation
- Nine lemma
- Normal morphism
- Opposite category
- Pre-Abelian category
- Preadditive category
- Presheaf (category theory)
- Product (category theory)
- Profunctor
- Pullback (category theory)
- Pushout (category theory)
- Reflective subcategory
- Regular category
- Representable functor
- Short five lemma
- Snake lemma
- Span (category theory)
- Strong monad
- Strongly ribbon category
- Structure (category theory)
- Subcategory
- Subfunctor
- Subobject
- Tetracategory
- Topos
- Triangulated category
- Tricategory
- Universal property
- Weak equivalence
- Weak n-category
- Yoneda lemma
- Zero morphism