Testwiki:Reference desk/Archives/Mathematics/2016 December 25

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December 25

Adjoint functors

Let $F:C\to D$ be left adjoint to $G:D\to C$ ($F⊣G$). Does it follow that $G^{op}:D^{op}\to C^{op}$ is left adjoint to $F^{op}:C^{op}\to D^{op}$ ($G^{op}⊣F^{op}$)? Merry Christmas and Happy New Year, GeoffreyT2000 (talk, contribs) 19:28, 25 December 2016 (UTC)