\documentclass{amsart}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
 \begin{equation*}
  \xymatrix@C+2em@R+2em{
   Q \ar@/_10pt/[ddr]_{q_1} \ar@/^10pt/[drr]^{q_2} \ar@{-->}[dr]|*+<3pt,3pt>{\scriptstyle u} & & \\
   & P \ar[d]_(0.4){p_1} \ar[r]^(0.4){p_2} & Y \ar[d]^{g}\\
   & X \ar[r]_{f} & Z
  }
 \end{equation*}
\end{document}

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