uniformization theorem

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo simply connected Riemann surfaces
gptkbp:field gptkb:Riemann_surfaces
complex analysis
https://www.w3.org/2000/01/rdf-schema#label uniformization theorem
gptkbp:implies classification of Riemann surfaces
gptkbp:language English
gptkbp:namedAfter uniformization
gptkbp:provenBy gptkb:Henri_Poincaré
gptkb:Paul_Koebe
gptkbp:relatedTo gptkb:Riemann_mapping_theorem
conformal mapping
universal covering space
gptkbp:state Every simply connected Riemann surface is conformally equivalent to the open unit disk, the complex plane, or the Riemann sphere
gptkbp:yearProved 1907
gptkbp:bfsParent gptkb:Riemannian_manifold
gptkbp:bfsLayer 5