Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
lemma |
| gptkbp:alsoKnownAs |
gptkb:Sard's_theorem
|
| gptkbp:appliesTo |
smooth functions
differentiable maps |
| gptkbp:category |
theorem in topology
theorem in calculus |
| gptkbp:field |
mathematical analysis
differential topology |
| gptkbp:firstPublished |
1942
|
| https://www.w3.org/2000/01/rdf-schema#label |
Sard's lemma
|
| gptkbp:implies |
almost all values are regular values
|
| gptkbp:namedAfter |
gptkb:Arthur_Sard
|
| gptkbp:sentence |
The set of critical values of a smooth function has measure zero.
|
| gptkbp:usedIn |
gptkb:Morse_theory
differential geometry singularity theory transversality theory |
| gptkbp:bfsParent |
gptkb:Morse–Sard_theorem
|
| gptkbp:bfsLayer |
7
|