Abstract
We give an example, in the infinite dimensional separable Hilbert space, of a purely unrectifiable Borel set with finite nonzero one dimensional Hausdorff measure, whose projection is nonnegligible in a set of directions which is not Aronszajn null.
Citation
Thierry De Pauw. "An example pertaining to the failure of the Besicovitch-Federer structure Theorem in Hilbert space." Publ. Mat. 61 (1) 153 - 173, 2017. https://doi.org/10.5565/PUBLMAT_61117_06
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