Geodesic
Measurable envelopes, Hausdorff measures and Sierpiński sets
Márton Elekes1
1 Rényi Institute of Mathematics Reáltanoda u. 13–15 Budapest 1053, Hungary
Colloquium Mathematicum, Tome 98 (2003) no. 2, pp. 155-162 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that the existence of measurable envelopes of all subsets of ${\Bbb R}^n$ with respect to the $d$-dimensional Hausdorff measure $(0 d n)$ is independent of ZFC. We also investigate the consistency of the existence of ${\cal H}^d$-measurable Sierpiński sets.
DOI : 10.4064/cm98-2-2
Keywords: existence measurable envelopes subsets bbb respect d dimensional hausdorff measure independent zfc investigate consistency existence cal d measurable sierpi ski sets

Márton Elekes 1

1 Rényi Institute of Mathematics Reáltanoda u. 13–15 Budapest 1053, Hungary 
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Márton Elekes. Measurable envelopes, Hausdorff measures and Sierpiński sets. Colloquium Mathematicum, Tome 98 (2003) no. 2, pp. 155-162. doi: 10.4064/cm98-2-2

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