1093 

  1093 

  1094 

  1094 

  1095 

  1095 

  1096 

  1096 

  1097 \subsection{Morphisms of $A_\infty$ 1-cat modules}

  1097 \subsection{Morphisms of $A_\infty$ 1-cat modules}

  1098 

  1099 

  1099 In order to state and prove our version of the higher dimensional Deligne conjecture

  1100 In order to state and prove our version of the higher dimensional Deligne conjecture

  1100 (Section \ref{sec:deligne}),

  1101 (Section \ref{sec:deligne}),

  1101 we need to define morphisms of $A_\infty$ 1-category modules and establish

  1102 we need to define morphisms of $A_\infty$ 1-category modules and establish

  1102 some of their elementary properties.

  1103 some of their elementary properties.