A Sard type theorem for Borel mappings
Colloquium Mathematicum, Tome 67 (1994) no. 2, pp. 217-221.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We find a condition for a Borel mapping $f:ℝ^m → ℝ^n$ which implies that the Hausdorff dimension of $f^{-1}(y)$ is less than or equal to m-n for almost all $y ∈ ℝ^n$.
DOI : 10.4064/cm-67-2-217-221

Piotr Hajłasz 1

1
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Piotr Hajłasz. A Sard type theorem for Borel mappings. Colloquium Mathematicum, Tome 67 (1994) no. 2, pp. 217-221. doi : 10.4064/cm-67-2-217-221. http://geodesic.mathdoc.fr/articles/10.4064/cm-67-2-217-221/

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