"Show that there is no conformal map from D(0,1) to \mathbb C"
and D(0,1) means the (open) unit disk
Conformal maps preserve angles
The Attempt at a Solution
I don't have a clue. I thought the clou might be that D(0,1) has a boundary, and C doesn't, so I tried to draw some circles/lines on D(0,1) that couldn't be imaged onto C whilst preserving angles, but to no avail.