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December 25

Adjoint functors

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