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

= 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)