Measurable Envelopes, Hausdorff Measures and Sierpi\'nski Sets
Classical Analysis and ODEs
2011-09-27 v1 Logic
Abstract
We show that the existence of measurable envelopes of all subsets of with respect to the -dimensional Hausdorff measure is independent of . We also investigate the consistency of the existence of Sierpi\'nski sets measurable with respect to the -dimensional Hausdorff measure.
Cite
@article{arxiv.1109.5305,
title = {Measurable Envelopes, Hausdorff Measures and Sierpi\'nski Sets},
author = {Márton Elekes},
journal= {arXiv preprint arXiv:1109.5305},
year = {2011}
}