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Proceedings of the American Mathematical Society

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A note on analytic sets


Author: John R. Steel
Journal: Proc. Amer. Math. Soc. 80 (1980), 655-657
MSC: Primary 03E15; Secondary 03D55
DOI: https://doi.org/10.1090/S0002-9939-1980-0587948-X
MathSciNet review: 587948
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Abstract: We give ``effective'' proofs of two recent theorems on analytic sets of reals, together with counterexamples to their natural extensions.


References [Enhancements On Off] (What's this?)

  • [1] C. Dellacherie, Ensembles analytiques. Théorèmes de séparation et applications, Séminaire de Probabilités, IX (Seconde Partie, Univ. Strasbourg, Strasbourg, années universitaires 1973/1974 et 1974/1975), Springer, Berlin, 1975, pp. 336–372. Lecture Notes in Math., Vol. 465. MR 0428306
  • [2] Nicolas Lusin, Leçons sur les ensembles analytiques et leurs applications, Chelsea Publishing Co., New York, 1972 (French). Avec une note de W. Sierpiński; Preface de Henri Lebesgue; Réimpression de l’edition de 1930. MR 0392465
  • [3] Yiannis N. Moschovakis, Elementary induction on abstract structures, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1974. Studies in Logic and the Foundations of Mathematics, Vol. 77. MR 0398810
  • [4] John R. Steel, Forcing with tagged trees, Ann. Math. Logic 15 (1978), no. 1, 55–74. MR 511943, https://doi.org/10.1016/0003-4843(78)90026-8

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0587948-X
Article copyright: © Copyright 1980 American Mathematical Society