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Twofold Cantor sets in R

Published 12 Feb 2018 in math.MG and math.DS | (1802.03872v1)

Abstract: We introduce a class of self-similar sets which we call {\em twofold Cantor sets} $K_{pq}$ in $\mathbb R$ which are totally disconnected, do not have weak separation property and at the same time have isomorphic self-similar structures.

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