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On the theory of Π13 sets of reals, II

from PART V - HOD AND ITS LOCAL VERSIONS

Published online by Cambridge University Press:  05 December 2015

Alexander S. Kechris
Affiliation:
California Institute of Technology
Donald A. Martin
Affiliation:
UNIVERSITY OF CALIFORNIA LOS ANGELES
Alexander S. Kechris
Affiliation:
California Institute of Technology
Benedikt Löwe
Affiliation:
Universiteit van Amsterdam
John R. Steel
Affiliation:
University of California, Berkeley
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Summary

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Ordinal Definability and Recursion Theory
The Cabal Seminar, Volume III
, pp. 200 - 219
Publisher: Cambridge University Press
Print publication year: 2016

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References

[Bar76] Jon, BarwiseAdmissible sets and structures, Springer-Verlag, 1976.Google Scholar
[BMS84] James, Baumgartner, Donald A., Martin, and Saharon, ShelahAxiomatic set theory. Proceedings of the AMS-IMS-SIAM joint summer research conference held in Boulder, Colo., June 19–25, 1983, Contemporary Mathematics, vol. 31, Amer. Math. Soc., Providence, RI, 1984.Google Scholar
[BK84] Howard S., Becker and Alexander S., KechrisSets of ordinals constructible from trees and the third Victoria Delfino problem, in Baumgartner et al. [BMS84], pp. 13–29.
[Kec75A] Alexander S., KechrisCountable ordinals and the analytical hierarchy. I, Pacific Journal of Mathematics, vol. 60 (1975), no. 1, pp. 223–227.Google Scholar
[Kec75B] Alexander S., KechrisThe theory of countable analytical sets, Transactions of the American Mathematical Society, vol. 202 (1975), pp. 259–297.Google Scholar
[Kec76] Alexander S., KechrisUncountable ordinals and the analytical hierarchy, circulated notes, July 1976.
[Kec78B] Alexander S., KechrisCountable ordinals and the analytical hierarchy. II, Annals of Mathematical Logic, vol. 15 (1978), no. 3, pp. 193–223.Google Scholar
[Cabal II] Alexander S., Kechris, Benedikt, Löwe, and John R., SteelWadge degrees and projective ordinals: the Cabal seminar, volume II, Lecture Notes in Logic, vol. 37, Cambridge University Press, 2012.Google Scholar
[KM78] Alexander S., Kechris and Donald A., MartinOn the theory of Π13 sets of reals, Bulletin of the American Mathematical Society, vol. 84 (1978), no. 1, pp. 149–151.Google Scholar
[Cabal iii] Alexander S., Kechris, Donald A., Martin, and Yiannis N., MoschovakisCabal seminar 79–81, Lecture Notes in Mathematics, no. 1019, Berlin, Springer, 1983.Google Scholar
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[Cabal i] Alexander S., Kechris and Yiannis N., MoschovakisCabal seminar 76–77, Lecture Notes in Mathematics, no. 689, Berlin, Springer, 1978.Google Scholar
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[Mar12] Donald A., MartinProjective sets and cardinal numbers: some questions related to the continuum problem, in Kechris et al. [Cabal II], pp. 484–508.
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[Mos70A] Yiannis N., MoschovakisDeterminacy and prewellorderings of the continuum, Mathematical logic and foundations of set theory. Proceedings of an international colloquium held under the auspices of the Israel Academy of Sciences and Humanities, Jerusalem, 11–14 November 1968 (Y., Bar-Hillel, editor), Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam-London, 1970, pp. 24–62.Google Scholar
[Mos73] Yiannis N., MoschovakisAnalytical definability in a playful universe, Logic, methodology, and philosophy of science IV (Patrick, Suppes, Leon, Henkin, Athanase, Joja, and Gr. C., Moisil, editors), North-Holland, 1973, pp. 77–83.Google Scholar
[Mos74A] Yiannis N., MoschovakisElementary induction on abstract structures, North-Holland, 1974.Google Scholar
[Mos09] Yiannis N., MoschovakisDescriptive set theory, second ed., Mathematical Surveys and Monographs, vol. 155, American Mathematical Society, 2009.Google Scholar
[Sol78A] Robert M., SolovayA Δ13 coding of the subsets of ωω, in Kechris and Moschovakis [Cabal i], pp. 133–150, reprinted in [Cabal II], pp. 346–363.

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