Non-Glimm-Effros equivalence relations at second projective level

Fundamenta Mathematicae

Volumn 154, Issue 1, 1997, Pages 1-35

  Kanovei, Vladimir ^a  

^a RUSSIAN UNIVERSITY OF TRANSPORT   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031446661     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. J. E. Baumgartner and R. Laver, Iterated perfect set forcing, Ann. Math. Logic 17 (1979), 271-288.
2. S. D. Friedman and B. Velickovic, Nonstandard models and analytic equivalence relations, Proc. Amer. Math. Soc., to appear.
3. 1 as an initial segment of the c-degrees, J. Symbolic Logic 59 (1994), 956-976.
4. M. Groszek and T. Jech, Generalized iteration of forcing, Trans. Amer. Math. Soc. 324 (1991), 1-26.
5. L. A. Harrington, A. S. Kechris and A. Louveau, A Glimm-Effros dichotomy for Bord equivalence relations, J. Amer. Math. Soc. 3 (1990), 903-928.
6. G. Hjorth, Thin equivalence relations and effective decompositions, J. Symbolic Logic 58 (1993), 1153-1164.
7. _, A dichotomy for the definable universe, ibid. 60 (1995), 1199-1207.
8. 1 equivalence relations, note, 1994.
9. G. Hjorth and A. S. Kechris, Analytic equivalence relations and Ulm-type classifications, J. Symbolic Logic 60 (1995), 1273-1300.
10. V. Kanovei, The cardinality of the set of Vitali equivalence classes, Math. Notes 49 (1991), 370-374.
11. _, An Ulm-type classification theorem for equivalence relations in Solovay model, J. Symbolic Logic 62 (1997), to appear.
12. _, Ulm classification of analytic equivalence relations in generic universes, Math. Logic Quart. 44 (1998), to appear.
13. A. S. Kechris, Topology and descriptive set theory, Topology Appl. 58 (1994), 195-222.
14. _, Classical Descriptive Set Theory, Springer, 1995.
15. N. Lusin, Sur les ensembles analytiques, Fund. Math. 10 (1927), 1-95.
16. W. Sierpiński, L'axiome de M. Zermelo et son rôle dans la théorie des ensembles et l'analyse, Bull. Internat. Acad. Sci. Lettres Sér. A Sci. Math. 1918, 97-152.
17. J. Silver, Counting the number of equivalence classes of Borel and coanalytic equivalence relations, Ann. Math. Logic 18 (1980), 1-28.