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.

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

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

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

• 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.

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