266 

   267 

   268 Stuff that remains to be done (either below or in an appendix or in a separate section or in

   269 a separate paper):

   270 \begin{itemize}

   271 \item modules/representations/actions (need to decide what to call them)

   272 \item tensor products

   273 \item blob complex is an example of an $A_\infty$ $n$-category

   274 \item fundamental $n$-groupoid is an example of an $A_\infty$ $n$-category

   275 \item traditional $n$-cat defs (e.g. *-1-cat, pivotal 2-cat) imply our def of plain $n$-cat

   276 \item conversely, our def implies other defs

   277 \item traditional $A_\infty$ 1-cat def implies our def

   278 \item ... and vice-versa

   279 \item say something about unoriented vs oriented vs spin vs pin for $n=1$ (and $n=2$?)

   280 \item spell out what difference (if any) Top vs PL vs Smooth makes

   281 \end{itemize}

   282 

   283