minor: fixing common refinement example
authorScott Morrison <scott@tqft.net>
Sun, 07 Aug 2011 18:33:14 -0700
changeset 862 9020b09ddc63
parent 860 daa522adb488
child 863 6f5e8563f3e2
minor: fixing common refinement example
text/a_inf_blob.tex
--- a/text/a_inf_blob.tex	Fri Aug 05 12:27:11 2011 -0600
+++ b/text/a_inf_blob.tex	Sun Aug 07 18:33:14 2011 -0700
@@ -119,7 +119,7 @@
 the case.
 (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 $K'$. (For instance, in the example above, $L$ can be the graph of $y=x^2+1$.)
+refinements with both $K$ and $K'$. (For instance, in the example above, $L$ can be the graph of $y=x^2-1$.)
 This follows from Axiom \ref{axiom:vcones}, which in turn follows from the
 splitting axiom for the system of fields $\cE$.
 Let $KL$ and $K'L$ denote these two refinements.