# HG changeset patch # User Kevin Walker # Date 1303678558 25200 # Node ID 1cdfbd39b0bd690d28cb1498ea0df391fb017e9a # Parent 8c534a37e51c191e5baf15dea11bbd1e0eb48c4e clarification of definition of n-SC operad diff -r 8c534a37e51c -r 1cdfbd39b0bd text/deligne.tex --- a/text/deligne.tex Tue Apr 19 15:52:37 2011 -0700 +++ b/text/deligne.tex Sun Apr 24 13:55:58 2011 -0700 @@ -89,7 +89,8 @@ cylinders. More specifically, we impose the following two equivalence relations: \begin{itemize} -\item If $g: R_i\to R'_i$ is a homeomorphism, we can replace +\item If $g: R_i\to R'_i$ is a homeomorphism which restricts to the identity on +$\bd R_i = \bd R'_i = E_0\cup \bd M_i$, we can replace \begin{eqnarray*} (\ldots, R_{i-1}, R_i, R_{i+1}, \ldots) &\to& (\ldots, R_{i-1}, R'_i, R_{i+1}, \ldots) \\ (\ldots, f_{i-1}, f_i, \ldots) &\to& (\ldots, g\circ f_{i-1}, f_i\circ g^{-1}, \ldots),