 \Omega_{\tilde{i}_0^{-0}(x)}^k(X_0)\oplus_{comp}\Omega^k(X_0) & \mbox{if }x\in i_0(X_0\setminus Y), \\ \Omega_{\tilde{i}_0^{-0}(x)}^k(X_0)\oplus_{comp}\Omega_{i_0^{-0}(x)}^k(X_0) & \mbox{if }x\in i_0(f(Y)), \\ \Omega^k(X_0)\oplus_{comp}\Omega_{i_0^{-0}(x)}^k(X_0) & \mbox{if }x\in i_0(X_0\setminus f(Y)). \end{array}\right.$$  