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Thin equivalence relations and effective decompositions

Published online by Cambridge University Press:  12 March 2014

Greg Hjorth
Greg Hjorth*
Affiliation:
Group in Logic, University of California, Berkeley, California 94720
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Abstract

Let E be a equivalence relation for which there does not exist a perfect set of inequivalent reals. If 0* exists or if V is a forcing extension of L, then there is a good well-ordering of the equivalence classes.

Keywords

Descriptive set theorythin equivalence relations
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 4 , December 1993 , pp. 1153 - 1164
Copyright
Copyright © Association for Symbolic Logic 1993

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References

REFERENCES

[1]Burgess, J. P., Infinitary languages and descriptive set theory, Doctoral Dissertation, University of California at Berkeley, Berkeley, California, 1974.Google Scholar
[2]Burgess, J. P., Effective enumeration of classes in a equivalence relation, Indiana University Mathematics Journal, vol. 28 (1979), pp. 353–364.CrossRefGoogle Scholar
[3]Dodd, A. J., The core model, London Mathematical Society Lecture Note Series, vol. 61, Cambridge University Press, Cambridge, 1982.CrossRefGoogle Scholar
[4]Friedman, H., Countable models of set theory, Cambridge Summer School in Mathematical Logic, Lecture Notes in Mathematics, vol. 337, Springer-Verlag, Berlin and New York, pp. 539–573.CrossRefGoogle Scholar
[5]Harrington, L. and Shelah, S., Counting equivalence classes for co-K-souslin equivalence relations, Logic Colloquium '80, North-Holland, Amsterdam, 1982, pp. 147–152.Google Scholar
[6]Jech, T. J., Set theory, Academic Press, New York, San Francisco, and London, 1978.Google Scholar
[7]Keisler, H. J., Model theory for infinitary logic, North-Holland, Amsterdam, 1971.Google Scholar
[8]Silver, J. H., Counting the number of equivalence classes of Borel and coanalylic equivalence relations, Annals of Mathematical Logic, vol. 18 (1980), pp. 1–28.CrossRefGoogle Scholar