Lexic.us

Definition of Contravariant functor

1. Noun. (category theory) A functor which maps a morphism ''f'':''X'' → ''Y'' to a morphism ''F''(''f''):''F''(''Y'') → ''F''(''X''), such that if $h\; =\; g\; \backslash circ\; f$, then $F(h)\; =\; F(f)\; \backslash circ\; F(g)$. ¹

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