Opposite category

Category

context ${\bf C}$ … category
definiendum ${\bf C}^\mathrm{op}$
definition $\mathrm{Ob}_{{\bf C}^\mathrm{op}}:=\mathrm{Ob}_{\bf C} $
definition ${\bf C}^\mathrm{op}[A,B]:={\bf C}[B,A]$
definition $f\,\circ_{{\bf C}^\mathrm{op}}\,g\ :=\ g\,\circ_{{\bf C}}\,f$

Discussion

Reference

Wikipedia: Opposite category

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