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 $y ∈ ℝ^n$.
@article{10_4064_cm_67_2_217_221,
author = {Piotr Haj{\l}asz},
title = {A {Sard} type theorem for {Borel} mappings},
journal = {Colloquium Mathematicum},
pages = {217--221},
publisher = {mathdoc},
volume = {67},
number = {2},
year = {1994},
doi = {10.4064/cm-67-2-217-221},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-67-2-217-221/}
}
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
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