• Definition for "functor"
    • the one that works a procedure or a…
    • View More
  • Sentence for "functor"
    • In the regimented environment of Leśniewski's…
    • View More
  • Form for "functor"
  • Same Context for "functor"
  • Urban Dictionary for "functor"
    • A functor, or purpose item, is…
    • View More

functor definition

  • noun:
    • the one that works a procedure or a function.
    • Grammar See operate word.
    • a function word
    • a function object
    • a structure-preserving mapping between groups: if F is a functor from group C to category D, after that F maps items of C to objects of D and morphisms of C to morphisms of D in a way that any morphism f:X→Y of C is mapped to a morphism F(f): F(X) → F(Y) of D, so that if after that , and so that identity morphisms (and just identification morphisms) are mapped to identity morphisms. Note: the functor only described is covariant.
    • One that does a surgical procedure or a function.
    • Grammar See work term.
    • a function term
    • a function item
    • a structure-preserving mapping between categories: if F is a functor from category C to category D, then F maps objects of C to objects of D and morphisms of C to morphisms of D such that any morphism f:X→Y of C is mapped to a morphism F(f): F(X) → F(Y) of D, such that if then , and such that identity morphisms (and only identity morphisms) are mapped to identity morphisms. Note: the functor just described is covariant.
137 votes

How would you define functor?

All the definitions on AZdictionary were written by people just like you. Now's your chance to add your own!