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Two definitions of fractional dimension

  • Claude Tricot (a1)
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The main properties of the Hausdorff dimension, here denoted by dim, are

In ℝp, in variance under a group Н of homeomorphisms: ∀HεH, dim О H = dim. The definition of H, introduced in (15) and (16), is recalled in § 2.

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(17)Wegmann, H.Die Hausdorff-Dimension von kartesischen Produktmengen in metrischen Räumen. J. Reine Angew. Math. 234 (1969), 163171.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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