Uniformization in a playful universe
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- by Yiannis N. Moschovakis PDF
- Bull. Amer. Math. Soc. 77 (1971), 731-736
References
- J. W. Addison and Yiannis N. Moschovakis, Some consequences of the axiom of definable determinateness, Proc. Nat. Acad. Sci. U.S.A. 59 (1968), 708–712. MR 221927, DOI 10.1073/pnas.59.3.708
- Richard Mansfield, A Souslin operation for $\Pi ^{1}_{2}$, Israel J. Math. 9 (1971), 367–379. MR 297575, DOI 10.1007/BF02771687
- Donald A. Martin, The axiom of determinateness and reduction principles in the analytical hierarchy, Bull. Amer. Math. Soc. 74 (1968), 687–689. MR 227022, DOI 10.1090/S0002-9904-1968-11995-0 4. D. A. Martin, Pleasant and unpleasant consequences of determinateness, unpublished manuscript, circulated in March 1970.
- D. A. Martin and R. M. Solovay, A basis theorem for $\sum _3^1$ sets of reals, Ann. of Math. (2) 89 (1969), 138–159. MR 255391, DOI 10.2307/1970813
- Yiannis N. Moschovakis, Determinacy and prewellorderings of the continuum, Mathematical Logic and Foundations of Set Theory (Proc. Internat. Colloq., Jerusalem, 1968) North-Holland, Amsterdam, 1970, pp. 24–62. MR 0280362
- Yiannis N. Moschovakis, Descriptive set theory, Studies in Logic and the Foundations of Mathematics, vol. 100, North-Holland Publishing Co., Amsterdam-New York, 1980. MR 561709
- Joseph R. Shoenfield, Mathematical logic, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1967. MR 0225631
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 731-736
- MSC (1970): Primary 04A15; Secondary 02F35
- DOI: https://doi.org/10.1090/S0002-9904-1971-12789-1
- MathSciNet review: 0285390