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Countable models and the theory of Borel equivalence relations

Published online by Cambridge University Press:  30 March 2017

Peter Cholak
Affiliation:
University of Notre Dame, Indiana
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Publisher: Cambridge University Press
Print publication year: 2005

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References

Howard, Becker [1998], Polish group actions: Dichotomies and generalized embeddings, Journalof the American Mathematical Society, vol. 11, pp. 397–449.Google Scholar
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L.A., Harrington, A.S., Kechris, and A., Louveau [1990], A Glimm-Effros dichotomy forBorel equivalence relations, Journal of the American Mathematical Society, vol. 3, no. 4, pp. 903–928.
Greg, Hjorth [2000], Classification and orbit equivalence relations, American Mathematical Society, Providence.
Greg, Hjorth and Alexander S., Kechris [1995], Analytic equivalence relations and Ulmtypeclassifications, The Journal of Symbolic Logic, vol. 60, no. 4, pp. 1273–1300.Google Scholar
Greg, Hjorth and Alexander S., Kechris [1997], New dichotomies for Borel equivalence relations, The Bulletin of Symbolic Logic, vol. 3, no. 3, pp. 329–346.Google Scholar
Greg, Hjorth and Slawomir, Solecki [1999], Vaught's conjecture and the Glimm-Effros propertyfor Polish transformation groups, Transactions of the AmericanMathematical Society, vol. 351, no. 7, pp. 2623–2641.Google Scholar
Garvin, Melles [1992], One cannot show from ZFC that there is an Ulm-type classificationof the countable torsion-free abelian groups, Set theory of the continuum Berkeley, CA, 1989., Springer, New York, pp. 293–309.
Ramez L., Sami [1994], Polish group actions and the Vaught conjecture, Transactions of theAmerican Mathematical Society, vol. 341, no. 1, pp. 335–353.Google Scholar

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