219 

   219 

   220 \nn{need to prove a version where $E$ above has dimension $m<n$; result is an $n{-}m$-category}

   220 \nn{need to prove a version where $E$ above has dimension $m<n$; result is an $n{-}m$-category}

   221 

   221 

   222 \medskip

   222 \medskip

   223 

   223 

   224 \begin{cor}

   225 \begin{cor}

   225 \label{cor:new-old}

   226 \label{cor:new-old}

   226 The new-fangled and old-fashioned blob complexes are homotopic.

   227 The new-fangled and old-fashioned blob complexes are homotopic.

   227 \end{cor}

   228 \end{cor}

   228 \begin{proof}

   229 \begin{proof}