diff -r c576b7868f05 -r efcc71e5489f text/blobdef.tex --- a/text/blobdef.tex Tue Jul 27 15:29:45 2010 -0700 +++ b/text/blobdef.tex Tue Jul 27 21:20:32 2010 -0400 @@ -159,8 +159,8 @@ \begin{align*} A & = [0,1] \times [0,1] \times [-1,1] \\ B & = [0,1] \times [-1,0] \times [-1,1] \\ -C & = [-1,0] \times \setc{(y,z)}{z \sin(1/z) \leq y \leq 1, z \in [-1,1]} \\ -D & = [-1,0] \times \setc{(y,z)}{-1 \leq y \leq z \sin(1/z), z \in [-1,1]}. +C & = [-1,0] \times \setc{(y,z)}{z^2 \sin(1/z) \leq y \leq 1, z \in [-1,1]} \\ +D & = [-1,0] \times \setc{(y,z)}{-1 \leq y \leq z^2 \sin(1/z), z \in [-1,1]}. \end{align*} Here $A \cup B = [0,1] \times [-1,1] \times [-1,1]$ and $C \cup D = [-1,0] \times [-1,1] \times [-1,1]$. Now, $\{A\}$ is a valid configuration of blobs in $A \cup B$, and $\{C\}$ is a valid configuration of blobs in $C \cup D$, so we must allow $\{A, C\}$ as a configuration of blobs in $[-1,1]^3$. Note however that the complement is not a manifold. \end{example}