Statements (13)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
simple closed curves in the plane
|
gptkbp:field |
gptkb:topology
|
https://www.w3.org/2000/01/rdf-schema#label |
Jordan–Schoenflies theorem
|
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
|