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Transactions of the American Mathematical Society

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The $ \aleph \sb{2}$-Souslin hypothesis


Authors: Richard Laver and Saharon Shelah
Journal: Trans. Amer. Math. Soc. 264 (1981), 411-417
MSC: Primary 03E35
DOI: https://doi.org/10.1090/S0002-9947-1981-0603771-7
MathSciNet review: 603771
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Abstract: We prove the consistency with $ CH$ that there are no $ {\aleph _2}$-Souslin trees.


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

  • 1. J. Baumgartner, Ineffability properties of cardinals. I, Proc. Colloq. Infinite and Finite Sets, Bolyai Janos Society, Hungary, 1975, pp. 109-130. MR 0384553 (52:5427)
  • [1] J. Baumgartner, J. Malitz and W. Reinhardt, Embedding trees in the rationals, Proc. Nat. Acad. Sci. U.S.A. 67 (1970), 1748-1755. MR 0314621 (47:3172)
  • [2] K. Devlin, handwritten notes.
  • [3] J. Gregory, Higher Souslin trees and the generalized continuum hypothesis, J. Symbolic Logic 41 (1976), 663-671. MR 0485361 (58:5208)
  • [4] R. Jensen, The fine structure of the constructible hierarchy, Ann. Math. Logic 4 (1972), 229-308. MR 0309729 (46:8834)
  • [5] W. Mitchell, Aronszajn trees and the independence of the transfer property, Ann. Math. Logic 5 (1973), 21-46. MR 0313057 (47:1612)
  • [6] S. Shelah, A weak generalization of MA to higher cardinals, Israel J. Math. 30 (1978), 297-306. MR 0505492 (58:21606)
  • [7] R. Solovay and S. Tennenbaum, Iterated Cohen extensions and Souslin's problem, Ann. of Math. (2) 94 (1971), 201-245. MR 0294139 (45:3212)
  • [8] F. Tall, Some applications of a generalized Martin's axiom.
  • [9] A. Levy, The sizes of the indescribable cardinals, Proc. Sympos. Pure Math., vol. 13, Amer. Math. Soc., Providence, R.I., 1971, pp. 205-218. MR 0281606 (43:7321)

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DOI: https://doi.org/10.1090/S0002-9947-1981-0603771-7
Article copyright: © Copyright 1981 American Mathematical Society

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