Journal of Symbolic Logic

Bi-Borel reducibility of essentially countable Borel equivalence relations

Greg Hjorth

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Article information

Source
J. Symbolic Logic, Volume 70, Issue 3 (2005), 979-992.

Dates
First available in Project Euclid: 22 July 2005

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1122038924

Digital Object Identifier
doi:10.2178/jsl/1122038924

Mathematical Reviews number (MathSciNet)
MR2155276

Zentralblatt MATH identifier
1091.03018

Subjects
Primary: 03E15: Descriptive set theory [See also 28A05, 54H05]
Secondary: 20F67: Hyperbolic groups and nonpositively curved groups 37A20: Orbit equivalence, cocycles, ergodic equivalence relations

Keywords
Equivalence relation Borel reducibility near hyperbolic group rigidity

Citation

Hjorth, Greg. Bi-Borel reducibility of essentially countable Borel equivalence relations. J. Symbolic Logic 70 (2005), no. 3, 979--992. doi:10.2178/jsl/1122038924. https://projecteuclid.org/euclid.jsl/1122038924


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References

  • G. Hjorth and A. S. Kechris Rigidity theorems for actions of product groups and countable Borel equivalence relations, to appear in the series Memoirs of the American Mathematical Society, available at http://www.math.caltech.edu/people/kechris.html.
  • S. Jackson, A. S. Kechris, and A. Louveau Countable Borel equivalence relations, Journal of Mathematical Logic, vol. 2 (2002), pp. 1--80.
  • A. S. Kechris Classical descriptive set theory, Graduate Texts in Mathematics, vol. 156, Springer-Verlag, New York,1994.
  • N. Monod and Y. Shalom Orbit equivalence and bounded cohomology, to appear in the series Annals of Mathematics, available at http://www.math.uchicago.edu/~monod/publications.html.
  • S. Thomas Superrigidity and countable Borel equivalence relations, Annals of Pure and Applied Logic, vol. 120 (2003), pp. 237--262.