Kerodon

\begin{equation} \begin{gathered}\label{equation:Xi-to-cospan} \xymatrix@R =50pt@C=50pt{ \operatorname{Tw}(\operatorname{\mathcal{C}}) \ar [r]^-{ \Xi } \ar [d] & \operatorname{Cospan}^{L,R}( \operatorname{\mathcal{C}}) \ar [d]^{ \lambda } \\ \operatorname{\mathcal{C}}^{\operatorname{op}} \times \operatorname{\mathcal{C}}\ar [r]^-{ \rho _{-} \times \rho _{+} } & \operatorname{Cospan}^{\mathrm{iso}, \mathrm{all}}(\operatorname{\mathcal{C}}) \times \operatorname{Cospan}^{\mathrm{all}, \mathrm{iso}}( \operatorname{\mathcal{C}}) } \end{gathered} \end{equation}