# Questions & Answers

## Are these sets biholomorphic? [entire topic moved to new forum]

- Is the unit disc \( \displaystyle \mathbb{D} = \left\{ z \in \mathbb{C} \, \Big| \, |z| < 1 \right\} \) biholomorphic to \( \mathbb{C} \)?

- Is the punctured unit disc \( \displaystyle \mathbb{D} = \left\{ z \in \mathbb{C} \, \Big| \, 0< |z| < 1 \right\} \) biholomorphic to \( \mathbb{C} \smallsetminus \left\{0\right\} \)?

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