diff -r a02a6158f3bd -r a8b8ebcf07ac text/ncat.tex --- a/text/ncat.tex Sat Jun 26 16:31:28 2010 -0700 +++ b/text/ncat.tex Sat Jun 26 17:22:53 2010 -0700 @@ -832,10 +832,10 @@ the embeddings of a ``little" ball with image all of the big ball $B^n$. \nn{should we warn that the inclusion of this copy of $\Diff(B^n)$ is not a homotopy equivalence?}) The operad $\cE\cB_n$ is homotopy equivalent to the standard framed little $n$-ball operad. -(By shrinking the little balls (precomposing them with dilations), +By shrinking the little balls (precomposing them with dilations), we see that both operads are homotopic to the space of $k$ framed points -in $B^n$.) -It is easy to see that $n$-fold loop spaces $\Omega^n(T)$ have the structure have +in $B^n$. +It is easy to see that $n$-fold loop spaces $\Omega^n(T)$ have an action of $\cE\cB_n$. \nn{add citation for this operad if we can find one}