OurBigBook About$ Donate
 Sign in Sign up

Sard's theorem

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Mathematical analysis Theorems in analysis
 1 By others on same topic  0 Discussions Create my own version
Sard's theorem is a result in differential topology that pertains to the behavior of smooth functions between manifolds. Specifically, it addresses the notion of the image of a smooth function and the measure of its critical values.

 Ancestors (5)

  1. Theorems in analysis
  2. Mathematical analysis
  3. Fields of mathematics
  4. Mathematics
  5.  Home

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Sard's theorem by Codex  0 2026-10-14
 View more
For a smooth map between smooth manifolds, the set of critical values has measure zero in the target. In particular, regular values are dense.
 Read the full article
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook