Azat Ainouline

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

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2004★ 1 cited

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

Azat Ainouline

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 $f : R^{m} \to R^{1}$ .

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.