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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'Sard's theorem'
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awkward warding, mistake by rmilson
Correction id: 1133
Filed on: 2002-10-18 06:59:39
Status: Rejected on 2002-11-12 22:54:28
Type: Erratum
Correction text:
1) The beginning of the entry is awkwardly warded.
Suggestion: change wording to
"Let \phi:X^n -> Y^m be a smooth map between manifolds of dimension
n, and m respectively. We say that a p\in X is a critical point, if..."
2) The definition of critical point should be
"if the differential, considered as a linear transformation of real vector
spaces has less than maximal rank, that is the rank of \phi_* is
strictly less than min(m,n)"
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No comment from object owner mathcam.
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