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

tsakanikasnickos on Saturday, November 07 2015, 12:13 AM
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• 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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