Show that the set is pathwise connected.
I can only think of a generalized path.
Since , then there is a parametric path consisting of two lines conneting the x-axis and y-axis. So the parametric path is and the parameteric path is dependent on the values of x, y.
If x > 0, y > 0, then
If x < 0, y < 0, then
and vice versa. However, I do not know how to prove this for all points.
Thank you for reading. Any help is greatly appreciated.