Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous functions
compact metric spaces |
| gptkbp:field |
mathematical analysis
|
| gptkbp:implies |
uniform continuity
|
| gptkbp:namedAfter |
gptkb:Georg_Cantor
gptkb:Eduard_Heine |
| gptkbp:publishedIn |
gptkb:19th_century
|
| gptkbp:relatedTo |
gptkb:topology
compactness uniform continuity |
| gptkbp:sentence |
Every continuous function from a compact metric space to a metric space is uniformly continuous.
|
| gptkbp:bfsParent |
gptkb:Heine's_theorem
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Heine–Cantor theorem
|