Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Heine–Borel_theorem
|
| gptkbp:appliesTo |
gptkb:Euclidean_space
|
| gptkbp:field |
gptkb:mathematics
gptkb:topology real analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Borel–Lebesgue theorem
|
| gptkbp:namedAfter |
gptkb:Émile_Borel
gptkb:Henri_Lebesgue |
| gptkbp:publishedIn |
gptkb:Annales_scientifiques_de_l'École_Normale_Supérieure
|
| gptkbp:relatedConcept |
compactness
open cover finite subcover |
| gptkbp:state |
A subset of Euclidean space is compact if and only if it is closed and bounded.
|
| gptkbp:yearProposed |
1895
|
| gptkbp:bfsParent |
gptkb:Émile_Borel
|
| gptkbp:bfsLayer |
6
|