Morse-Sard Theorem
(Redirected from Sard's Theorem)
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Theorem
Let $f: X \to Y$ be any smooth map of manifolds.
Then almost every point in $Y$ is a regular value of $f$.
Proof
This theorem requires a proof. In particular: In progress You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Also known as
Also known as Sard's Theorem or Sard's Lemma.
Source of Name
This entry was named for Anthony Perry Morse and Arthur Sard.