Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
simple closed curves in the plane
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:implies |
the inside and outside of a simple closed curve are topologically disks
|
| gptkbp:namedAfter |
gptkb:Camille_Jordan
gptkb:Arthur_Schoenflies |
| gptkbp:provenBy |
gptkb:Arthur_Schoenflies
|
| gptkbp:relatedTo |
gptkb:Jordan_curve_theorem
|
| gptkbp:sentence |
Every simple closed curve in the plane bounds a region homeomorphic to a disk.
|
| gptkbp:yearProved |
1906
|
| gptkbp:bfsParent |
gptkb:Jordan_curve_theorem
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Jordan–Schoenflies theorem
|