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Rings of fractional dimension

  • K. J. Falconer (a1)
Abstract

We define s-dimensional Hausdorff outer measure on subsets of ℝn by

Here | | denotes the diameter of a set. The Souslin sets, which include the Borel sets, are Hs-measurable for any s ≥ 0.

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10.B. Volkmann . Eine metrische Figenschaft reeller Zahlkörper. Math. Annalen, 141 (1960), 237238.

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Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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