PlanetMath: uniformization theorem

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uniformization theorem

(Theorem)

Every simply connected Riemann surface $X$ is biholomorphic either to $\mathbb P^1$ $\mathbb C$ or the unit disk $\Delta$

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"uniformization theorem" is owned by Simone.

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Cross-references: unit disk, biholomorphic, Riemann surface, simply connected
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This is version 2 of uniformization theorem, born on 2006-01-09, modified 2006-01-11.
Object id is 7556, canonical name is UniformizationTheorem.
Accessed 1733 times total.

Classification:

AMS MSC:	30F10 (Functions of a complex variable :: Riemann surfaces :: Compact Riemann surfaces and uniformization)
	30F20 (Functions of a complex variable :: Riemann surfaces :: Classification theory of Riemann surfaces)

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