Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Euclidean_spaces
Lipschitz functions |
| gptkbp:field |
differential geometry
mathematical analysis |
| gptkbp:generalizes |
gptkb:Cheeger's_theorem
gptkb:Stepanov's_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Rademacher's theorem
|
| gptkbp:implies |
Lipschitz functions are almost everywhere differentiable
|
| gptkbp:namedAfter |
gptkb:Hans_Rademacher
|
| gptkbp:relatedTo |
measure theory
Lebesgue measure differentiability |
| gptkbp:sentence |
Every Lipschitz continuous function from Euclidean space to Euclidean space is differentiable almost everywhere.
|
| gptkbp:usedIn |
geometric measure theory
|
| gptkbp:yearProved |
1919
|
| gptkbp:bfsParent |
gptkb:Hans_Rademacher
|
| gptkbp:bfsLayer |
6
|