
The \h{Double Topologists's Sin Curve} is defined by the
union
$$
\{(x,y) \in  R^2 : 0 < |x| \le 1 , y=\sin(1/x)\} \cup
\{(0,y) \in  R^2 : -1 \le y \le 1 \} \quad .
$$
It has just three path components.
