Correlation dimension for self-similar Cantor sets with overlaps

Volume 155 / 1998

Károly Simon, Boris Solomyak Fundamenta Mathematicae 155 (1998), 293-300 DOI: 10.4064/fm_1998_155_3_1_293_300


We prove a classification theorem of the "Glimm-Effros" type for Borel order relations: a Borel partial order on the reals either is Borel linearizable or includes a copy of a certain Borel partial order $≤_0$ which is not Borel linearizable.


  • Károly Simon
  • Boris Solomyak

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