Category:Category theory

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Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them.

Subcategories

There are 3 subcategories to this category.

A

• Algebra

C

• Categorical logic

H

• Homological algebra

Articles in category "Category theory"

There are 80 articles in this category.

A Abelian category Abstract nonsense Additive category Adjoint functors Auto magma object Automorphism B Biproduct C Cartesian closed category Cartesian morphism Category of abelian groups Category of groups Category of metric spaces Category of preordered sets Category of sets Category of topological spaces Category theory Class (set theory) Coequalizer Cokernel Comma category Commutative diagram Concrete category Coproduct D Derived functor Direct limit Discrete category

D Dual (category theory) E Endomorphism Endomorphism ring Epimorphism Equaliser Equivalence of categories Exact functor F Faithful functor Fibration Forgetful functor Free object Full functor Functor Functor category G Group object Groupoid I Image (category theory) Injective cogenerator Inverse limit Isomorphism Isomorphism of categories K K-Vect Karoubi envelope Kernel (category theory) L Limit (category theory) List of category theory topics Localization of a category

M Magma category Medial category Mitchell's embedding theorem Monad (category theory) Monads in functional programming Monoid Monoidal category Monomorphism Morphism N Natural number object Natural transformation P Pre-Abelian category Preadditive category Product (category theory) Pullback (category theory) Pushout (category theory) R Representable functor S Samuel Eilenberg Sheaf Simplicial category Slice category Structure (category theory) Subcategory Subobject U Universal property Y Yoneda lemma Z Zero morphism

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