# HG changeset patch # User Kevin Walker # Date 1313086118 21600 # Node ID 651d1612699971106260ae9de14739ccdec28aa1 # Parent 0df969402405bc1905417ef374e383bc4c765531 finishing EB_n additions diff -r 0df969402405 -r 651d16126999 RefereeReport.pdf Binary file RefereeReport.pdf has changed diff -r 0df969402405 -r 651d16126999 text/ncat.tex --- a/text/ncat.tex Wed Aug 10 21:46:27 2011 -0600 +++ b/text/ncat.tex Thu Aug 11 12:08:38 2011 -0600 @@ -1261,7 +1261,12 @@ \cE\cB_n^k \times A \times \cdots \times A \to A , \] where $\cE\cB_n^k$ is the $k$-th space of the $\cE\cB_n$ operad. -\nn{need to finish this} +Let $(b, a_1,\ldots,a_k)$ be a point of $\cE\cB_n^k \times A \times \cdots \times A \to A$. +The $i$-th embedding of $b$ together with $a_i$ determine an element of $\cC(B_i)$, +where $B_i$ denotes the $i$-th little ball. +Using composition of $n$-morphsims in $\cC$, and padding the spaces between the little balls with the +(essentially unique) identity $n$-morphism of $\cC$, we can construct a well-defined element +of $\cC(B^n) = A$. If we apply the homotopy colimit construction of the next subsection to this example, we get an instance of Lurie's topological chiral homology construction.