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Measurable Envelopes, Hausdorff Measures and Sierpi\'nski Sets
- Source :
- Coll. Math. 98 (2003), no. 2, 155-162
- Publication Year :
- 2011
-
Abstract
- We show that the existence of measurable envelopes of all subsets of $\RR^n$ with respect to the $d$-dimensional Hausdorff measure $(0<d<n)$ is independent of $ZFC$. We also investigate the consistency of the existence of Sierpi\'nski sets measurable with respect to the $d$-dimensional Hausdorff measure.
Details
- Database :
- arXiv
- Journal :
- Coll. Math. 98 (2003), no. 2, 155-162
- Publication Type :
- Report
- Accession number :
- edsarx.1109.5305
- Document Type :
- Working Paper