Equation 19.3.1363511F34173E

\begin{equation} \operatorname{cor}(Y_{\bullet },\pi )\coloneqq \begin{bmatrix} 1 & \nu _{W_1\supseteq \cdots \supseteq W_ n}\Bigl ((\pi ^*[Y_1]-[W_1])|_{W_1}\Bigr ) \\ 0 & \operatorname{cor}\Bigl (Y_1\supseteq \cdots \supseteq Y_ n,\pi |_{W_1}\colon W_1\rightarrow Y_1\Bigr ) \end{bmatrix}. \end{equation}