Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
simply connected Riemann surfaces
|
| gptkbp:field |
gptkb:Riemann_surfaces
complex analysis |
| gptkbp:generalizes |
gptkb:Riemann_mapping_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Uniformization theorem
|
| gptkbp:implies |
classification of Riemann surfaces
|
| gptkbp:importantFor |
fundamental result in the theory of Riemann surfaces
|
| gptkbp:languageOfStatement |
complex analysis
|
| gptkbp:provenBy |
gptkb:Henri_Poincaré
gptkb:Paul_Koebe |
| gptkbp:relatedTo |
gptkb:Riemann_mapping_theorem
conformal mapping |
| gptkbp:state |
Every simply connected Riemann surface is conformally equivalent to the open unit disk, the complex plane, or the Riemann sphere
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:Teichmüller_theory differential geometry moduli spaces |
| gptkbp:yearProved |
1907
|
| gptkbp:bfsParent |
gptkb:Paul_Koebe
|
| gptkbp:bfsLayer |
5
|