Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth functions
differentiable maps |
| gptkbp:category |
differential geometry
real analysis |
| gptkbp:field |
mathematical analysis
differential topology |
| gptkbp:firstPublished |
1942
|
| gptkbp:generalizes |
implicit function theorem
rank theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Sard's theorem
|
| gptkbp:namedAfter |
gptkb:Arthur_Sard
|
| gptkbp:publishedIn |
gptkb:Bulletin_of_the_American_Mathematical_Society
|
| gptkbp:relatedTo |
gptkb:Morse_lemma
regular value theorem |
| gptkbp:sentence |
The set of critical values of a smooth map has measure zero.
|
| gptkbp:usedIn |
gptkb:Morse_theory
singularity theory transversality theory |
| gptkbp:bfsParent |
gptkb:Differential_Topology
|
| gptkbp:bfsLayer |
6
|