98 

    98 

    99 An ambitious reader may want to keep in mind two other classes of balls.

    99 An ambitious reader may want to keep in mind two other classes of balls.

   100 The first is balls equipped with a map to some other space $Y$ (c.f. \cite{MR2079378}). 

   100 The first is balls equipped with a map to some other space $Y$ (c.f. \cite{MR2079378}). 

   101 This will be used below (see the end of \S \ref{ss:product-formula}) to describe the blob complex of a fiber bundle with

   101 This will be used below (see the end of \S \ref{ss:product-formula}) to describe the blob complex of a fiber bundle with

   102 base space $Y$.

   102 base space $Y$.

   104 bundle (i.e.\ framed balls), or more generally some partial flag bundle associated to the tangent bundle.

   104 bundle (i.e.\ framed balls), or more generally some partial flag bundle associated to the tangent bundle.

   105 These can be used to define categories with less than the ``strong" duality we assume here,

   105 These can be used to define categories with less than the ``strong" duality we assume here,

   106 though we will not develop that idea in this paper.

   106 though we will not develop that idea in this paper.

   107 

   107 

   108 Next we consider domains and ranges of morphisms (or, as we prefer to say, boundaries

   108 Next we consider domains and ranges of morphisms (or, as we prefer to say, boundaries