222 \begin{rem}

   222 \begin{rem}

   223 Perhaps the most interesting case is when $Y$ is just a point; then we have a way of building an $A_\infty$ $n$-category from a topological $n$-category. We think of this $A_\infty$ $n$-category as a free resolution.

   223 Perhaps the most interesting case is when $Y$ is just a point; then we have a way of building an $A_\infty$ $n$-category from a topological $n$-category. We think of this $A_\infty$ $n$-category as a free resolution.

   224 \end{rem}

   224 \end{rem}

   225 

   225 

   226 There is a version of the blob complex for $\cC$ an $A_\infty$ $n$-category

   226 There is a version of the blob complex for $\cC$ an $A_\infty$ $n$-category

   228 

   228 

   229 \begin{property}[Product formula]

   229 \begin{property}[Product formula]

   230 \label{property:product}

   230 \label{property:product}

   231 Let $W$ be a $k$-manifold and $Y$ be an $n-k$ manifold. Let $\cC$ be an $n$-category.

   231 Let $W$ be a $k$-manifold and $Y$ be an $n-k$ manifold. Let $\cC$ be an $n$-category.

   232 Let $A_*(Y,\cC)$ be the $A_\infty$ $k$-category associated to $Y$ via blob homology (see Property \ref{property:blobs-ainfty}).

   232 Let $A_*(Y,\cC)$ be the $A_\infty$ $k$-category associated to $Y$ via blob homology (see Property \ref{property:blobs-ainfty}).