Ulm classification of analytic equivalence relations in generic universes

Mathematical Logic Quarterly

Volumn 44, Issue 3, 1998, Pages 287-303

  Kanovei, Vladimir ^a  

^a RUSSIAN UNIVERSITY OF TRANSPORT   (Russian Federation)

Author keywords

Analytic set; Equivalence relation; Ulm classification

Indexed keywords

EID: 0032221923     PISSN: 09425616     EISSN: None     Source Type: Journal    
DOI: 10.1002/malq.19980440302     Document Type: Article

References (8)

1. FRIEDMAN, S. D., and B. VELICKOVIC, Nonstandard models and analytic equivalence relations. Proc. Amer. Math. Soc. (to appear).
2. HARRINGTON, L. A., A. S. KECHRIS, and A. LOUVEAU, A Glimm-Effros dichotomy for Borel equivalence relations. J. Amer. Math. Soc. 3 (1990), 903-928.
3. HJORTH, G., Thin equivalence relations and effective decompositions. J. Symbolic Logic 58 (1993), 1153-1164.
4. HJORTH, G., A dichotomy for the definable universe. J. Symbolic Logic 60 (1995), 1199-1207.
5. HJORTH, G., and A. S. KECHRIS, Analytic equivalence relations and Ulm-type classification. J. Symbolic Logic 60 (1995), 1273-1300.
6. KANOVEI, V., An Ulm-type classification theorem for equivalence relations in Solovay model. J. Symbolic Logic 62 (1997), to appear.
7. KANOVEI, V., Non-Glimm-Effros equivalence relations at second projective level. Fund. Math, (to appear).
8. SOLOVAY, R. M., A model of set theory in which every set of reals is Lebesgue measurable. Ann. Math. 92 (1970), 1-56.