Resumen de Classifying Cantor sets by their fractal dimensions

Carlos A. Cabrelli, Kathryn E. Hare, Ursula M. Molter

• 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.