An ulm-type classification theorem for equivalence relations in Solovay model

Journal of Symbolic Logic

Volumn 62, Issue 4, 1997, Pages 1333-1351

  Kanovei, Vladimir ^a  

^a RUSSIAN UNIVERSITY OF TRANSPORT   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031327240     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2275646     Document Type: Article

References (11)

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3. G. HJORTH, A dichotomy for the definable universe, this JOURNAL, vol. 60 (1995), pp. 1199-1207.
4. G. HJORTH and A. S. KECHRIS, Analytic equivalence relations and Ulm-type classification, this JOURNAL, vol. 60 (1995), pp. 1273-1300.
5. V. KANOVEI, Ulm classification of analytic equivalence relations in generic universes, Mathematical Logic Quarterly, to appear.
6. A. S. KECHRIS, Classical descriptive set theory, Springer-Verlag, 1995.
7. H. LEBESGUE, Sur les fonctions représentables analytiquement, Journal de Mathématiques Pures et Appliqués, Neuviéme Série (1905), pp. 139-216, t. 1, fasc. 2.
8. A. W. MILLER, Descriptive set theory and forcing: how to prove theorems about Borel sets the hard way, University of Wisconsin, Madison, January 1994.
9. J. SILVER, Counting the number of equivalence classes of Borel and coanalytic equivalence relations, Annals of Mathematical Logic, vol. 18 (1980), pp. 1-28.
10. R. M. SOLOVAY, A model of set theory in which every set of reals is Lebesgue measurable, Annals of Mathematics, vol. 92 (1970), pp. 1-56.
11. J. STERN, On Lusin's restricted continuum problem, Annals of Mathematics, vol. 120 (1984), pp. 7-37.