Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Euclidean_space
R^n |
| gptkbp:category |
gptkb:topology
theorems in analysis |
| gptkbp:field |
gptkb:mathematics
real analysis |
| gptkbp:firstPublished |
1895
|
| https://www.w3.org/2000/01/rdf-schema#label |
Heine-Borel theorem
|
| gptkbp:namedAfter |
gptkb:Émile_Borel
gptkb:Eduard_Heine |
| gptkbp:relatedConcept |
closed set
compactness bounded set open cover finite subcover |
| gptkbp:sentence |
A subset of Euclidean space R^n is compact if and only if it is closed and bounded.
|
| gptkbp:bfsParent |
gptkb:Real_Analysis
|
| gptkbp:bfsLayer |
7
|