# HG changeset patch # User Scott Morrison # Date 1309411736 25200 # Node ID 0ab0b8d9b3d6af5b74cecb9d117b0a4b84719cdd # Parent f38558decd51b471df1d55aceac6852dabd41ef4 changing example for no common refinement diff -r f38558decd51 -r 0ab0b8d9b3d6 text/a_inf_blob.tex --- a/text/a_inf_blob.tex Wed Jun 29 16:21:11 2011 -0700 +++ b/text/a_inf_blob.tex Wed Jun 29 22:28:56 2011 -0700 @@ -106,7 +106,7 @@ We want to find 1-simplices which connect $K$ and $K'$. We might hope that $K$ and $K'$ have a common refinement, but this is not necessarily the case. -(Consider the $x$-axis and the graph of $y = x^2\sin(1/x)$ in $\r^2$.) \scott{Why the $x^2$ here?} +(Consider the $x$-axis and the graph of $y = e^{-1/x^2} \sin(1/x)$ in $\r^2$.) However, we {\it can} find another decomposition $L$ such that $L$ shares common refinements with both $K$ and $K'$. Let $KL$ and $K'L$ denote these two refinements.