Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous functions
n-sphere |
| gptkbp:category |
fixed-point theorems
theorems in topology |
| gptkbp:field |
gptkb:geometry
gptkb:topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Borsuk's antipodal theorem
|
| gptkbp:implies |
gptkb:Borsuk–Ulam_theorem
|
| gptkbp:namedAfter |
gptkb:Karol_Borsuk
|
| gptkbp:relatedTo |
gptkb:Borsuk–Ulam_theorem
|
| gptkbp:sentence |
Any continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.
|
| gptkbp:yearProposed |
1933
|
| gptkbp:bfsParent |
gptkb:Karol_Borsuk
|
| gptkbp:bfsLayer |
7
|