Azat Ainouline

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

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math.GT2004★ 1 cited

Vector valued functions not constant on connected sets of critical points

Azat Ainouline

Whitney type examples of maps $f \in C^{k} (ℜ^{m}, ℜ^{n})$ for a maximal possible real $k$ , and multidimensional space-filling curves with special properties are constructed.

math.GT2004

Real Valued Dimension For Morse-Sard Theorem

Azat Ainouline

A dimension allowing in particular to state necessary and sufficient conditions of the Morse-Sard Theorem for real valued functions is introduced.