Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
metric spaces
|
| gptkbp:citation |
Felix Hausdorff, Dimension und äußeres Maß, Mathematische Annalen, 1918
|
| gptkbp:field |
gptkb:mathematics
measure theory geometric measure theory |
| gptkbp:generalizes |
Lebesgue measure
|
| gptkbp:heldBy |
Borel regular measure
countably subadditive monotone outer measure translation invariant (in Euclidean space) |
| https://www.w3.org/2000/01/rdf-schema#label |
Hausdorff measure
|
| gptkbp:introducedIn |
1918
|
| gptkbp:namedAfter |
gptkb:Felix_Hausdorff
|
| gptkbp:notation |
H^d
|
| gptkbp:parameter |
dimension d
|
| gptkbp:usedIn |
fractal geometry
|
| gptkbp:usedToDefine |
gptkb:Hausdorff_dimension
|
| gptkbp:bfsParent |
gptkb:Felix_Hausdorff
gptkb:Measure_Theory |
| gptkbp:bfsLayer |
5
|