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## Smart answer:

After reading 4603 websites, we found 13 different results for *"what is a functor"*

just a mapping of objects and morphisms

A functor is just a mapping of objects and morphisms.

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a function that can be manipulated as an object, or an object representing a single, generic function

Functor - A functor is a function that can be manipulated as an object, or an object representing a single, generic function.

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a class or struct which acts like a function

A functor is a class or struct which acts like a function.

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an object that behaves like a function

A functor is an object that behaves like a function.

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a morphism in the category of categories

A functor is a morphism in the category of categories.

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a design pattern , inspired by the definition from category theorythat allows for a generic type to apply a function inside without changing the structure of the generic type

In functional programming, a functor is a design pattern inspired by the definition from category theory, that allows for a generic type to apply a function inside without changing the structure of the generic type.

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In category theory

In Category Theory, a Functor is a morphism between categories, that is, categories maps each object in category A to another object in B, as well as mapping each morphism C -> D onto the respective ...

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Any type that has a map function

Any type that has a map function is a functor.

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In Functional Programming

In functional programming, a functor is a design pattern inspired by the definition from category theory, that allows for a generic type to apply a function inside without changing the structure of the generic type.

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a design pattern inspired by the definition from category theory that allows one to apply a function to values inside a generic type without changing the structure of the generic type

In functional programming, a functor is a design pattern inspired by the definition from category theory that allows one to apply a function to values inside a generic type without changing the structure of the generic type.

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In mathematics, specifically category theory

In mathematics, specifically in category theory, a functor is essentially surjective (or dense) if each object of is isomorphic to an object of the form for some object of .

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something that can be mapped over

A functor is something that can be mapped over.

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