Morse-Sard Theorem

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


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In particular: In progress
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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.