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## Homework Statement

"Show that there is no conformal map from D(0,1) to \mathbb C"

and D(0,1) means the (open) unit disk

## Homework Equations

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.