Measurable envelopes, Hausdorff measures and Sierpiński sets
Márton Elekes
Colloquium Mathematicae, Tome 96 (2003), p. 155-162 / Harvested from The Polish Digital Mathematics Library
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We show that the existence of measurable envelopes of all subsets of ℝⁿ with respect to the d-dimensional Hausdorff measure (0 < d < n) is independent of ZFC. We also investigate the consistency of the existence of ℋd-measurable Sierpiński sets.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285209 
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     title = {Measurable envelopes, Hausdorff measures and Sierpi\'nski sets},
     journal = {Colloquium Mathematicae},
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     year = {2003},
     pages = {155-162},
     zbl = {1043.28004},
     language = {en},
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Márton Elekes. Measurable envelopes, Hausdorff measures and Sierpiński sets. Colloquium Mathematicae, Tome 96 (2003) pp. 155-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-2-2/