Hausdorff measure of critical set for Luzin N condition

A Doležalová, M Hrubešová, T Roskovec - Journal of Mathematical …, 2021 - Elsevier
It is well-known that there is a Sobolev homeomorphism f∈ W 1, p ([− 1, 1] n,[− 1, 1] n) for
any p< n which maps a set C of zero Lebesgue n-dimensional measure onto a set of positive …