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Borel irreducibility between two large families of Borel equivalence relations

from RESEARCH ARTICLES

Published online by Cambridge University Press:  30 March 2017

Jan Van Eijck
Affiliation:
Centre for Mathematics and Computer Science, Amsterdam
Vincent Van Oostrom
Affiliation:
Universiteit Utrecht, The Netherlands
Albert Visser
Affiliation:
Universiteit Utrecht, The Netherlands
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Logic Colloquium '99 , pp. 100 - 110
Publisher: Cambridge University Press
Print publication year: 2004

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References

[1] Ilijas, Farah, Analytic quotients: theory of liftings for quotients over analytic ideals on the integers, Memoirs of the AmericanMathematical Society, vol. 148 (2000), no. 702, pp. xvi+177.Google Scholar
[2] Harvey, Friedman, Borel and Baire reducibility, Fundamenta Mathematicae, vol. 164 (2000), no. 1, pp. 61-69.Google Scholar
[3] Harvey, Friedman and Lee, Stanley, A Borel reducibility theory for classes of countable structures, The Journal of Symbolic Logic, vol. 54 (1989), no. 3, pp. 894 - 914.Google Scholar
[4] Greg, Hjorth, Classification and orbit equivalence relations, Mathematical surveys and monographs, vol. 75, American Mathematical Society, 2000.
[5] Alexander S., Kechris, Rigidity properties of Borel ideals on the integers, Topology and Applications, vol. 85 (1998), no. 1-3, pp. 195-205.Google Scholar
[6] Alexander S., Kechris, Actions of Polish groups and classification problems, Analysis and logic, London Mathematical Society Lecture Note Series, Cambridge University Press, 2001, to appear.
[7] Slawomir, Solecki, Analytic ideals, The Bulletin of Symbolic Logic, vol. 2 (1996), no. 3, pp. 339-348.Google Scholar
[8] Slawomir, Solecki, Analytic ideals and their applications, Annals of Pure and Applied Logic, vol. 99 (1999), no. 1-3, pp. 51-72.Google Scholar

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