Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Euclidean plane
simple closed curves |
| gptkbp:category |
gptkb:mathematics
theorems in topology |
| gptkbp:field |
gptkb:topology
|
| gptkbp:hasProofsOf |
gptkb:Camille_Jordan
gptkb:Oswald_Veblen gptkb:L._E._J._Brouwer |
| https://www.w3.org/2000/01/rdf-schema#label |
Jordan curve theorem
|
| gptkbp:importantFor |
fundamental theorem in topology
|
| gptkbp:namedAfter |
gptkb:Camille_Jordan
|
| gptkbp:publicationYear |
1887
|
| gptkbp:relatedTo |
gptkb:Brouwer_fixed-point_theorem
gptkb:Jordan–Schoenflies_theorem |
| gptkbp:sentence |
Every simple closed curve in the plane divides the plane into an interior and an exterior region.
|
| gptkbp:bfsParent |
gptkb:Camille_Jordan
|
| gptkbp:bfsLayer |
5
|