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Are these sets biholomorphic? [entire topic moved to new forum]
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Is the unit disc \( \displaystyle \mathbb{D} = \left\{ z \in \mathbb{C} \, \Big| \, |z| < 1 \right\} \) biholomorphic to \( \mathbb{C} \)?
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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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