46 and define

    46 and define

    47 first topological $A_\infty$-algebras, then topological $A_\infty$-categories, and then topological $A_\infty$-modules over these. We then turn

    47 first topological $A_\infty$-algebras, then topological $A_\infty$-categories, and then topological $A_\infty$-modules over these. We then turn

    48 to the general $n$ case, defining topological $A_\infty$-$n$-categories and their modules.

    48 to the general $n$ case, defining topological $A_\infty$-$n$-categories and their modules.

    49 \nn{Something about duals?}

    49 \nn{Something about duals?}

    50 \todo{Explain that we're not making contact with any previous notions for the general $n$ case?}

    50 \todo{Explain that we're not making contact with any previous notions for the general $n$ case?}

    52 to [framed] $E_\infty$ algebras

    52 to [framed] $E_\infty$ algebras

    53 }

    53 }

    54 

    54 

    55 \todo{}

    55 \todo{}

    56 Various citations we might want to make:

    56 Various citations we might want to make: