Measurable Envelopes, Hausdorff Measures and Sierpiński Sets

Details Measurable Envelopes, Hausdorff Measures and Sierpiński Sets Measurable Envelopes, Hausdorff Measures and Sierpiński Sets

2011-09-24

arxiv.org/abs/1109.5305v1

Coll. Math. 98 (2003), no. 2, 155-162

Mathematics

Classical Analysis and ODEs

Scientific paper

We show that the existence of measurable envelopes of all subsets of $\RR^n$
with respect to the $d$-dimensional Hausdorff measure $(0of $ZFC$. We also investigate the consistency of the existence of Sierpi\'nski
sets measurable with respect to the $d$-dimensional Hausdorff measure.

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