205 \end{itemize}

   205 \end{itemize}

   206 \end{property}

   206 \end{property}

   207 

   207 

   208 

   208 

   209 

   209 

   211 Let $\pi^\infty_{\le n}(W)$ denote the $A_\infty$ $n$-category based on maps 

   211 Let $\pi^\infty_{\le n}(W)$ denote the $A_\infty$ $n$-category based on maps 

   212 $B^n \to W$.

   212 $B^n \to W$.

   213 (The case $n=1$ is the usual $A_\infty$ category of paths in $W$.)

   213 (The case $n=1$ is the usual $A_\infty$ category of paths in $W$.)

   214 Then 

   214 Then 

   215 $$\bc_*(M, \pi^\infty_{\le n}(W) \simeq \CM{M}{W}.$$

   215 $$\bc_*(M, \pi^\infty_{\le n}(W) \simeq \CM{M}{W}.$$