changing example for no common refinement
authorScott Morrison <scott@tqft.net>
Wed, 29 Jun 2011 22:28:56 -0700
changeset 838 0ab0b8d9b3d6
parent 837 f38558decd51
child 842 3e6c66df4df1
child 843 6236bf927e60
changing example for no common refinement
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.