Category:Category theory

Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them.de:Kategorie:Kategorientheorie es:Categoría:Teoría de categorías fr:Catégorie:Théorie des catégories zh:Category:范畴论

Subcategories

There are 13 subcategories to this category.

A Adjoint functors Algebra C Categorical logic Category-theoretic categories

D Duality theories F Free algebraic structures H Higher category theory Homological algebra M Monoidal categories

S Sheaf theory T Topos theory U Universal algebra µ Category theory stubs

Pages in category "Category theory"

There are 109 pages in this section of this category.

Category (mathematics) * Category theory A Abelian category Abstract nonsense Additive category Auto magma object Automorphism Axiomatizable class B Biproduct C Cartesian closed category Cartesian morphism Pierre Cartier Catamorphism Categorification Characterizations of the category of topological spaces Chu space Class (set theory) Closed category Coequalizer Cokernel Comma category Commutative diagram Concrete category Connected category Coproduct D Derived functor Descent (category theory) Dinatural transformation Direct limit Discrete category Dual (category theory) E Eckmann-Hilton argument End (category theory) Endomorphism Endomorphism ring Enriched category

E cont. Enriched functor Epimorphism Equaliser Essentially surjective functor Exact functor Exponential object F F-algebra F-coalgebra Fibrant object Fibration Filtered category Forgetful functor Full and faithful functors Functor Functor category G Glossary of category theory Gluing axiom Graded category Grothendieck universe Grothendieck's Galois theory Grothendieck's relative point of view Group object Groupoid H Hom functor I Image (category theory) Initial algebra Initial object Injective cogenerator Inverse limit Isomorphism K Karoubi envelope Kernel (category theory) L Limit (category theory) List of category theory topics List of publications in mathematics Localization of a category M Mitchell's embedding theorem

M cont. Model category Model structure Monoid Monoid (category theory) Monomorphism Morphism N Natural number object Natural transformation Normal morphism O Operad theory P Pointed space Pointless topology Pre-Abelian category Preadditive category Product (category theory) Profunctor Projective object Pulation square Pullback (category theory) Pushout (category theory) Q Quotient category R Representable functor S Samuel Eilenberg Sieve (category theory) Simplicial set Skeleton (category theory) Small set (category theory) Stable homotopy category Stack (category theory) Structure (category theory) Subcategory Subfunctor Subobject U Universal property Y Yoneda lemma Z Zero morphism