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Homogeneous trees and projective scales

from PART IV - PROJECTIVE ORDINALS

Published online by Cambridge University Press:  05 December 2011

Alexander S. Kechris
Affiliation:
California Institute of Technology, Pasadena
Benedikt Löwe
Affiliation:
Universiteit van Amsterdam
John R. Steel
Affiliation:
University of California, Berkeley
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Publisher: Cambridge University Press
Print publication year: 2011

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References

Harrington, Leo A. and Kechris, Alexander S. [HK81] On the determinacy of games on ordinals, Annals of Mathematical Logic, vol. 20 (1981), pp. 109–154.CrossRefGoogle Scholar
Kechris, Alexander S. [Kec78] AD and projective ordinals, this volume, originally published inKechris and Moschovakis [Cabal i], pp. 91–132.Google Scholar
Kechris, Alexander S., Kleinberg, Eugene M., Moschovakis, Yiannis N., and Woodin, W. Hugh [KKMW81] The axiom of determinacy, strong partition properties, and nonsingular measures, in Kechris et al. [Cabal ii], pp. 75–99, reprinted in [Cabal I], p. 333–354.Google Scholar
Kechris, Alexander S., Löwe, Benedikt, and Steel, John R. [Cabal I] Games, scales, and Suslin cardinals: the Cabal seminar, volume I, Lecture Notes in Logic, vol. 31, Cambridge University Press, 2008.CrossRefGoogle Scholar
Kechris, Alexander S. and Martin, Donald A. [KM78] On the theory of sets of reals, Bulletin of the American Mathematical Society, vol. 84 (1978), no. 1, pp. 149–151.CrossRefGoogle Scholar
Kechris, Alexander S., Martin, Donald A., and Moschovakis, Yiannis N. [Cabal ii] Cabal seminar 77–79, Lecture Notes in Mathematics, no. 839, Berlin, Springer, 1981.CrossRefGoogle Scholar
Kechris, Alexander S. and Moschovakis, Yiannis N. [KM72] Two theorems about projective sets, Israel Journal of Mathematics, vol. 12 (1972), pp. 391–399.CrossRefGoogle Scholar
Kechris, Alexander S. and Moschovakis, Yiannis N. [Cabal i] Cabal seminar 76–77, Lecture Notes in Mathematics, no. 689, Berlin, Springer, 1978.CrossRefGoogle Scholar
Kechris, Alexander S. and Moschovakis, Yiannis N. [KM78B] Notes on the theory of scales, in Cabal Seminar 76–77 [Cabal i], pp. 1–53, reprinted in [Cabal I], p. 28–74.Google Scholar
Kunen, Kenneth [Kun71B] On, circulated note, August 1971.Google Scholar
Kunen, Kenneth [Kun71D] Some singular cardinals, circulated note, September 1971.Google Scholar
Mansfield, Richard [Man71] A Souslin operation on, Israel Journal of Mathematics, vol. 9 (1971), no. 3, pp. 367–379.CrossRefGoogle Scholar
Martin, Donald A. [Mar71B] Projective sets and cardinal numbers: some questions related to the continuum problem, this volume, originally a preprint, 1971.Google Scholar
Martin, Donald A. [Mar77B] On subsets of, circulated note, January 1977.Google Scholar
Martin, Donald A. and Solovay, Robert M. [MS69] A basis theorem for sets of reals, Annals of Mathematics, vol. 89 (1969), pp. 138–160.CrossRefGoogle Scholar
Moschovakis, Yiannis N. [Mos70] Determinacy 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 (Bar-Hillel, Y., editor), Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam-London, 1970, pp. 24–62.Google Scholar
Shoenfield, Joseph R. [Sho61] The problem of predicativity, Essays on the foundations of mathematics (Bar-Hillel, Yehoshua, Poznanski, E. I. J., Rabin, Michael O., and Robinson, Abraham, editors), Magnes Press, Jerusalem, 1961, pp. 132–139.Google Scholar
Solovay, Robert M. [Sol78A] A coding of the subsets of ωω , this volume, originally published in Kechris and Moschovakis [Cabal i], pp. 133–150.Google Scholar

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