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A contravariant functor sends each 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).
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A contravariant functor sends each 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).
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Related words
contravariant functor
Noun
Japanese Meaning
圏論における対向函手とは、対象と射を扱う函手の一種であり、射 f: X → Y に対してその像 F(f) を F(Y) → F(X) という反対方向の射に写す。つまり、合成 h = g ∘ f に対して F(h) = F(f) ∘ F(g) となるような性質を持つ。
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