1103 is given by the composition maps of $\cC$.

  1103 is given by the composition maps of $\cC$.

  1104 This completes the definition of the functor $\psi_{\cC;W}$.

  1104 This completes the definition of the functor $\psi_{\cC;W}$.

  1105 

  1105 

  1106 Note that we have constructed, at the last stage of the above procedure, 

  1106 Note that we have constructed, at the last stage of the above procedure, 

  1107 a map from $\psi_{\cC;W}(x)$ to $\cl\cC(\bd M_m) = \cl\cC(\bd W)$.

  1107 a map from $\psi_{\cC;W}(x)$ to $\cl\cC(\bd M_m) = \cl\cC(\bd W)$.

  1109 

  1109 

  1110 If $k=n$ in the above definition and we are enriching in some auxiliary category, 

  1110 If $k=n$ in the above definition and we are enriching in some auxiliary category, 

  1111 we need to say a bit more.

  1111 we need to say a bit more.

  1112 We can rewrite the colimit as

  1112 We can rewrite the colimit as

  1113 \[  % \begin{equation} \label{eq:psi-CC}

  1113 \[  % \begin{equation} \label{eq:psi-CC}