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An analog of Sard’s theorem for C 1-smooth functions of two variables |
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| Authors: | M V Korobkov |
| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
| Abstract: | The main result of the article is Theorem 1. Let v: Ω → ? be a C1-smooth function on a domain Ω → ?2. Suppose that 0 ? Cl Int Dv(Ω). Then the measure of the image of the set of critical points equals zero. |
| Keywords: | C 1-smooth function Sard theorem interior point |
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