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Selection for Borel relations

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Published online by Cambridge University Press:  31 March 2017

Matthias Baaz
Affiliation:
Technische Universität Wien, Austria
Sy-David Friedman
Affiliation:
Universität Wien, Austria
Jan Krajíček
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '01 , pp. 151 - 169
Publisher: Cambridge University Press
Print publication year: 2005

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References

[1] Jon, Barwise, Admissible sets and structures, Perspectives inMathematical Logic, Springer-Verlag, 1975.
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[4] G., Debs, Compact covering mappings and cofinal families of compact subsets of a Borel set, Fundamenta Mathematicae, vol. 167 (2001), pp. 213–249.Google Scholar
[5] G., Debs, Compact covering mappings between Borel sets and the size of constructible reals, Transactions of the American Mathematical Society, vol. 356 (2004), pp. 73–117.Google Scholar
[6] G., Debs, Borel liftings of Borel sets: some decidable and undecidable results, http://web. ccr.jussieu.fr/eqanalyse/Users/jsr, to appear as an AMSMemoir.
[7] Derrick, DuBose, The equivalence of determinacy and iterated sharps, The Journal of Symbolic Logic, vol. 55 (1990), pp. 502–525.Google Scholar
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[9] H. M., Friedman, On the necessary use of abstract set theory, Advances in Mathematics, vol. 41 (1981), no. 3, pp. 209–280.Google Scholar
[10] S. S., Hechler, On the existence of certain cofinal subsets of, Proceedings of Symposia in Pure Mathematics, vol. 13, Part II, 1974, pp. 155–173.Google Scholar
[11] T., Jech, Set theory, Academic Press, 1978.
[12] A. S., Kechris, Classical descriptive set theory, Graduate Texts inMathematics, Springer-Verlag, 1995.
[13] D. A., Martin, A purely inductive proof of Borel determinacy, Proceedings of the AMS Symposium in PureMathematics, Recursion Theory, vol. 42, 1985, pp. 303–308.Google Scholar
[14] R. L., Sami, Analytic determinacy and 0#: A forcing-free proof of Harrington's theorem, Fundamenta Mathematicae, vol. 160 (1999), pp. 153–159.Google Scholar
[15] J. R., Shoenfield, The problem of predicativity, Essays on the foundations of mathematics (Y., Bar-Hillel et al., editor), The Magnes Press, Jerusalem, 1961, pp. 132–142.
[16] S.G., Simpson, Subsystems of second order arithmetic, Perspectives inMathematical Logic, Springer, 1999.

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