1450 Using composition of $n$-morphsims in $\cC$, and padding the spaces between the little balls with the 

  1450 Using composition of $n$-morphsims in $\cC$, and padding the spaces between the little balls with the 

  1451 (essentially unique) identity $n$-morphism of $\cC$, we can construct a well-defined element

  1451 (essentially unique) identity $n$-morphism of $\cC$, we can construct a well-defined element

  1452 of $\cC(B^n) = A$.

  1452 of $\cC(B^n) = A$.

  1453 

  1453 

  1454 If we apply the homotopy colimit construction of the next subsection to this example, 

  1454 If we apply the homotopy colimit construction of the next subsection to this example, 

  1456 \end{example}

  1456 \end{example}

  1457 

  1457 

  1458 

  1458 

  1459 \subsection{From balls to manifolds}

  1459 \subsection{From balls to manifolds}

  1460 \label{ss:ncat_fields} \label{ss:ncat-coend}

  1460 \label{ss:ncat_fields} \label{ss:ncat-coend}