A Sard type theorem for Borel mappings

Volume 67 / 1994

Piotr Hajłasz Colloquium Mathematicum 67 (1994), 217-221 DOI: 10.4064/cm-67-2-217-221


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 $y ∈ ℝ^n$.


  • Piotr Hajłasz

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