Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
simply connected open subsets of the complex plane
|
| gptkbp:category |
theorems in analysis
theorems in complex analysis |
| gptkbp:excludes |
the entire complex plane
|
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemann mapping theorem
|
| gptkbp:importantFor |
fundamental result in complex analysis
|
| gptkbp:namedAfter |
gptkb:Bernhard_Riemann
|
| gptkbp:plotSummary |
existence of a bijective holomorphic map (conformal map) to the unit disk
|
| gptkbp:provenBy |
gptkb:Paul_Koebe
gptkb:Constantin_Carathéodory |
| gptkbp:relatedTo |
gptkb:uniformization_theorem
gptkb:unit_disk conformal mapping holomorphic function simply connected domain |
| gptkbp:state |
Every simply connected, non-empty open subset of the complex plane which is not the whole plane is conformally equivalent to the open unit disk.
|
| gptkbp:yearProposed |
1851
|
| gptkbp:bfsParent |
gptkb:Bernhard_Riemann
|
| gptkbp:bfsLayer |
5
|