Abstract
Distorted Cantor sets are created by generalising the concept of uniform Cantor sets. We construct an interesting distorted Cantor set which we call K. We highlight how it differs from Falconer’s perturbed Cantor sets or Baek’s deranged Cantor sets; we prove some results about it; and, outline some other results about it. We put forward a proof for the Hausdorff dimension of K. We offer constructions of other distorted Cantor sets and argue that there exists at least one distorted Cantor set without a well defined Hausdorff dimension. Mathematics Subject Classification: 28A80; 28A78 54A25; 54A25
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