equal
deleted
inserted
replaced
156 \end{itemize} |
156 \end{itemize} |
157 Combining these two operations can give rise to configurations of blobs whose complement in $X$ is not |
157 Combining these two operations can give rise to configurations of blobs whose complement in $X$ is not |
158 a manifold. |
158 a manifold. |
159 Thus will need to be more careful when speaking of a field $r$ on the complement of the blobs. |
159 Thus will need to be more careful when speaking of a field $r$ on the complement of the blobs. |
160 |
160 |
161 \begin{example} |
161 \begin{example} \label{sin1x-example} |
162 Consider the four subsets of $\Real^3$, |
162 Consider the four subsets of $\Real^3$, |
163 \begin{align*} |
163 \begin{align*} |
164 A & = [0,1] \times [0,1] \times [0,1] \\ |
164 A & = [0,1] \times [0,1] \times [0,1] \\ |
165 B & = [0,1] \times [-1,0] \times [0,1] \\ |
165 B & = [0,1] \times [-1,0] \times [0,1] \\ |
166 C & = [-1,0] \times \setc{(y,z)}{z \sin(1/z) \leq y \leq 1, z \in [0,1]} \\ |
166 C & = [-1,0] \times \setc{(y,z)}{z \sin(1/z) \leq y \leq 1, z \in [0,1]} \\ |