Nonstandard models and analytic equivalence relations
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- by Sy D. Friedman and Boban Velickovic
- Proc. Amer. Math. Soc. 125 (1997), 1807-1809
- DOI: https://doi.org/10.1090/S0002-9939-97-03700-3
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Abstract:
We improve a result of Hjorth concerning the nature of thin analytic equivalence relations. The key lemma uses a weakly compact cardinal to construct certain nonstandard models, which Hjorth obtained using $\#$’s.References
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- Greg Hjorth, Thin equivalence relations and effective decompositions, J. Symbolic Logic 58 (1993), no. 4, 1153–1164. MR 1253912, DOI 10.2307/2275133
- G. Hjorth and A. S. Kechris, Analytic equivalence relations and Ulm-type classifications, J. Symbolic Logic 60 (1995), 1273–1300.
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Bibliographic Information
- Sy D. Friedman
- Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
- MR Author ID: 191285
- Email: sdf@math.mit.edu
- Boban Velickovic
- Affiliation: Equipe de Logique, University of Paris 7, 2 Place Jussieu, 75251 Paris Cedex 05, France
- Email: boban@logique.jussieu.fr
- Received by editor(s): September 25, 1995
- Received by editor(s) in revised form: November 20, 1995
- Additional Notes: Research supported by NSF Contract # 92–05530.
- Communicated by: Andreas R. Blass
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1807-1809
- MSC (1991): Primary 04A15, 03C75
- DOI: https://doi.org/10.1090/S0002-9939-97-03700-3
- MathSciNet review: 1363419