ArticleOriginal scientific text
Title
Correlation dimension for self-similar Cantor sets with overlaps
Authors 1,
Affiliations
- Department of Mathematics, Moscow Transport Engineering Institute, Obraztsova 15, Moscow 101475, Russia
Abstract
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
Keywords
Borel partial order, Borel linear order
Bibliography
- L. A. Harrington, A. S. Kechris and A. Louveau, A Glimm-Effros dichotomy for Borel equivalence relations, J. Amer. Math. Soc. 3 (1990), 903-928.
- L. A. Harrington, D. Marker and S. Shelah, Borel orderings, Trans. Amer. Math. Soc. 310 (1988), 293-302.
Pages:
293-300
Main language of publication
English
Received
1997-04-15
Published
1998
Exact and natural sciences