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Hausdorff measures of different dimensions are not Borel isomorphic

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Publication:940748
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DOI10.1007/s11856-008-0030-5zbMath1155.28003OpenAlexW2012071191MaRDI QIDQ940748

András Máthé

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-0030-5


zbMATH Keywords

Borel isomorphismHausdorff dimensionHausdorff measurerandom perfect set


Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Hausdorff and packing measures (28A78)


Related Items (2)

Restrictions of Hölder continuous functions ⋮ Set-theoretical problems concerning Hausdorff measures



Cites Work

  • Hausdorff measures of different dimensions are isomorphic under the continuum hypothesis
  • Unnamed Item


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