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In [[category theory]], a '''functor''' is a [[morphism]] between categories.
In [[category theory]], a '''functor''' is a [[morphism]] between categories.
Functors were first proposed in [[algebraic topology]], where algebraic objects such as the [[fundamental group]] are associated to [[topological space]]s, and algebraic [[homomorphism]]s are associated to continuous functions. Recently, functors are used to relate various categories.
Functors were first proposed in [[algebraic topology]], where algebraic objects such as the [[fundamental group]] are associated to [[topological space]]s, and algebraic [[homomorphism]]s are associated to continuous functions. Functors are now used to relate various categories.
[[Category:Mathematics]]
[[Category:Mathematics]]