contravariant functor

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English

Noun

contravariant functor (plural contravariant functors)

(category theory) A functor which maps a morphism f:X → Y to a morphism F(f):F(Y) → F(X), such that if $h=g\circ f$ , then $F(h)=F(f)\circ F(g)$ .
A contravariant functor $F:{\mathcal {C}}\rightarrow {\mathcal {D}}$ is the same as a covariant functor $F:{\mathcal {C}}^{op}\rightarrow {\mathcal {D}}$ .

Translations

category theory: functor

Icelandic: hjávarpi m, andbrigður varpi m, mótbrigður varpi m
Portuguese: functor/funtor contravariante m

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