just a mapping of objects and morphisms

A functor is just a mapping of objects and morphisms.

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.

a class or struct which acts like a function

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

an object that behaves like a function

A functor is an object that behaves like a function.

a morphism in the category of categories

A functor is a morphism in the category of categories.

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.

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 ...

Any type that has a map function

Any type that has a map function is a functor.

In mathematics

A functor, in mathematics, is a map between categories.

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.

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.

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 .

something that can be mapped over

A functor is something that can be mapped over.