Kerodon

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7.74
\begin{equation} \begin{gathered}\label{equation:bad-inverse-limit} \xymatrix@C =50pt@R=50pt{ \cdots \ar [r] & B_{\bullet }( p^{3} \operatorname{\mathbf{Z}}) \ar [r] & B_{\bullet }( p^2 \operatorname{\mathbf{Z}}) \ar [r] & B_{\bullet }( p \operatorname{\mathbf{Z}}) \ar [r] & B_{\bullet }(\operatorname{\mathbf{Z}}). } \end{gathered} \end{equation}