Linked from

The 12 pages that link to Natural transformation, each with the reason it gives.

• Category theoryBroader topic: Natural transformations express coherent relationships between functorial constructions.

• FunctorCompared with: It relates functors rather than mapping objects and morphisms between categories.

• CategoryRelated: Natural transformations compare functors while respecting the categories’ morphisms.

• Samuel EilenbergBroader topic: Eilenberg and Mac Lane introduced it to express relationships between mathematical constructions.

• Commutative diagramRelated: Its compatibility condition is expressed by a commuting square for each source morphism.

• MorphismRelated: Its components are morphisms linked by naturality equations.

• Yoneda lemmaRelated: The theorem identifies natural transformations into representables with elements.

• Saunders Mac LaneBroader topic: Mac Lane and Eilenberg introduced natural transformations as part of category theory’s original vocabulary.

• Adjoint functorsBroader topic: The hom-set bijections must vary compatibly across objects and morphisms.

• Free objectRelated: The free and forgetful functors are related by a natural unit of their adjunction.

• Forgetful functorRelated: Natural transformations compare forgetful functors and other category-level constructions.

• Hom functorRelated: Natural transformations compare Hom functors while respecting composition.