What does this set look like? A = \{ (x, \frac{1}{x}) | x \in \mathbb{R} \backslash 0 \}, where $A$ is a subset of $\mathbb{R}^2$ with the Euclidean topology.
I thought $A = (-\infty, 0] \cup [0, \infty)$ but I know that its projection $(x,y) \rightarrow x$ is not closed, so this must be wrong.
Thanks for your help.