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A proof of projective determinacy
Author(s):
Donald A.
Martin;
John R.
Steel
Journal:
J. Amer. Math. Soc.
2
(1989),
71-125.
MSC:
Primary 03E15;
Secondary 03E55, 03E60
MathSciNet review:
955605
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Additional information
References:
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- A. Dodd, The core model, London Math. Soc. Lecture Notes, no. 61, Cambridge Univ. Press, Cambridge, England, 1982. MR 652253 (84a:03062)
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- M. Foreman, M. Magidor, and S. Shelah, Martin's maximum, saturated ideals, and non-regular ultrafilters, Annals of Math. 127 (1988), 1-47. MR 924672 (89f:03043)
- [3]
- T. Jech, Set theory, Academic Press, New York, 1978. MR 506523 (80a:03062)
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- A. Kechris, Homogeneous trees and projective scales, Cabal Seminar 1977-79 (A. S. Kechris, D. A. Martin, and Y. N. Moschovakis, eds.), Lecture Notes in Math., no. 839, Springer-Verlag, Berlin, 1981, pp. 33-74. MR 611167 (82j:03060)
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- A. Levy, Axiom schemata of strong infinity in axiomatic set theory, Pacific J. Math. 10 (1960), 223-238. MR 0124205 (23:A1522)
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- D. A. Martin, Measurable cardinals and analytic games, Fund. Math. 66 (1970), 287-291. MR 0258637 (41:3283)
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- D. A. Martin and R. M. Solovay, A basis theorem for
 sets of reals, Ann. of Math. 89 (1969), 138-159. MR 0255391 (41:53) - [10]
- D. A. Martin and J. R. Steel, Projective determinacy, Proc. Nat. Acad. Sci. U.S.A. (to appear). MR 959109 (89m:03041)
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- -, Iteration trees (to appear).
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- Y. N. Moschovakis, Descriptive set theory, North-Holland, Amsterdam, 1980. MR 561709 (82e:03002)
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- H. Woodin, Supercompact cardinals, sets of reals and weakly homogeneous trees, Proc. Nat. Acad. Sci. U.S.A. (to appear). MR 959110 (89m:03040)
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Additional Information:
DOI:
10.1090/S0894-0347-1989-0955605-X
PII:
S0894-0347-1989-0955605-X
Copyright of article:
Copyright
1989,
American Mathematical Society
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