Necessary and sufficient condition of Morse-Sard theorem for real valued functions

Details Necessary and sufficient condition of Morse-Sard theorem for real valued functions Necessary and sufficient condition of Morse-Sard theorem for real valued functions

2004-05-01

arxiv.org/abs/math/0405012v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

Necessary and sufficient condition is given for a set $A\subset R^1$ to be a
subset of the critical values set for a $C^k$ function $f:R^m \to R^1$.

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