contravariant functor

noun

contravariant functor

noun
1

Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences A functor which maps a morphism f:X → Y to a morphism F(f):F(Y) → F(X), such that if h=g∘f, then F(h)=F(f)∘F(g).

  • A contravariant functor F#58;#92;mathcal#123;C#125;#92;rightarrow#92;mathcal#123;D#125; is the same as a covariant functor F#58;#92;mathcal#123;C#125;#123;op#125;#92;rightarrow#92;mathcal#123;D#125;.

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.