In category theory, a coequalizer of two morphisms is a morphism such that . It can be considered as the quotient by the equation .

This is exactly a colimit of the diagram,

\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
a \arrow[bend left]{r}{f} \arrow[bend right]{r}[swap]{g} & b
\end{tikzcd}
\end{document}