Linked from

The 15 pages that link to Functor, each with the reason it gives.

• FunctionRelated: It generalizes function-like mapping from sets to entire mathematical structures.

• Category theoryBroader topic: Functors compare categories while respecting their defining structure.

• Homological algebraCompared with: Unlike a derived functor, an ordinary functor alone does not record its failure to preserve exactness.

• Natural transformationNarrower topic: A natural transformation connects two functors with matching source and target.

• CategoryRelated: Functors express structure-preserving relationships between categories.

• Samuel EilenbergBroader topic: The concept emerged in Eilenberg and Mac Lane’s formulation of category theory.

• Commutative diagramRelated: Functoriality often makes diagrams commute by preserving the composites they encode.

• MorphismRelated: A functor acts on morphisms while preserving identities and composition.

• Yoneda lemmaBroader topic: The lemma compares functors defined from morphism sets.

• Saunders Mac LaneRelated: Functors are among the central tools Mac Lane introduced with Eilenberg.

• Opposite categoryRelated: A functor reverses direction when viewed between opposite categories.

• Adjoint functorsNarrower topic: Each adjunction consists of two functors acting in opposite directions.

• Forgetful functorNarrower topic: A forgetful functor is a particular kind of functor, obeying the same identity and composition laws.

• Hom functorNarrower topic: A Hom functor is a specific construction obeying the general laws of functors.

• Initial and terminal objectsRelated: A functor preserves initial or terminal objects when it preserves the relevant universal property.