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Sard's theorem

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Differential geometry Regular value
2026-10-14  1 By others on same topic  0 Discussions Create my own version
For a smooth map between smooth manifolds, the set of critical values has measure zero in the target. In particular, regular values are dense.

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Sard's theorem by Wikipedia Bot  1
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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.
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