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

2004/05/01 by Azat Ainouline, Ainouline, Azat
Engineering · Mathematics · #Mathematical Dynamics and Fractals #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #math.CA #math.GT #msc:58C25 #msc:58K05

paper · pdf · doi:10.48550/arxiv.math/0405012

8 pages

arxiv created 2004/05/01 · arxiv updated 2009/12/01

Abstract

Necessary and sufficient condition is given for a set A⊂ R¹ to be a subset of the critical values set for a C^k function f:R^m → R¹.

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