Classifying Cantor sets by their fractal dimensions

• Autores: Carlos A. Cabrelli, Kathryn E. Hare, Ursula M. Molter
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 3965-3974
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10396-9
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• Resumen

  • In this article we study Cantor sets defined by monotone sequences, in the sense of Besicovich and Taylor. We classify these Cantor sets in terms of their -Hausdorff and -packing measures, for the family of dimension functions , and characterize this classification in terms of the underlying sequences.