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Scales in L(R)

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Cabal Seminar 79–81

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1019))

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References

  1. H.S. Becker, Thin collections of sets of projective ordinals and analogs of L, Annals of Mathematical Logic, vol. 19, 1980, pp. 205–241.

    Article  MATH  MathSciNet  Google Scholar 

  2. L.A. Harrington and A.S. Kechris, On the determinacy of games on ordinals, Annals of Mathematical Logic, vol. 20, 1981, pp. 109–154.

    Article  MATH  MathSciNet  Google Scholar 

  3. R.B. Jensen, The fine structure of the constructible hierarchy, Annals of Mathematical Logic, vol. 4, 1972, pp. 229–308.

    Article  MATH  Google Scholar 

  4. A.S. Kechris, AD and projective ordinals, Cabal Seminar 76–77, Lecture Notes in Mathematics, vol. 689, Springer Verlag, 1978.

    Google Scholar 

  5. A.S. Kechris, Souslin cardinals, κ-Souslin sets, and the scale property in the hyperprojective hierarchy, Cabal Seminar 77–79, Lecture Notes in Mathematics, vol. 839, Springer-Verlag, 1981.

    Google Scholar 

  6. A.S. Kechris, R.M. Solovay, and J.R. Steel, The axiom of determinacy and the prewellordering property, Cabal Seminar 77–79, Lecture Notes in Mathematics, vol. 839, Springer-Verlag, 1981.

    Google Scholar 

  7. A.S. Kechris and W.H. Woodin, The equivalence of determinacy and partition properties, to appear.

    Google Scholar 

  8. D.A. Martin, The largest countable this, that, or the other, this volume.

    Google Scholar 

  9. S. Jackson and D.A. Martin, Pointclasses and wellordered unions, this volume.

    Google Scholar 

  10. D.A. Martin and J.R. Steel, The extent of scales in L(R), this volume.

    Google Scholar 

  11. Y.N. Moschovakis, Inductive scales on inductive sets, Cabal Seminar 76–77, Lecture Notes in Mathematics, vol. 689, Springer-Verlag, 1978.

    Google Scholar 

  12. Y.N. Moschovakis, Scales on coinductive sets, this volume.

    Google Scholar 

  13. Y.N. Moschovakis, Ordinal games, Cabal Seminar 77–79, Lecture Notes in Mathematics, vol. 839, Springer-Verlag, 1981.

    Google Scholar 

  14. Y.N. Moschovakis, Descriptive Set Theory, Studies in Logic, vol. 100, North Holland, Amsterdam, 1980.

    Google Scholar 

  15. S.G. Simpson, A short course in admissible recursion theory, Generalized recursion theory II, Studies in Logic, vol. 94, North Holland, Amsterdam, 1978, pp. 355–390.

    Google Scholar 

  16. J.R. Steel, Closure properties of pointclasses, Cabal Seminar 77–79, Lecture Notes in Mathematics, vol. 839, Springer-Verlag, 1981.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, California

    John R. Steel

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  1. John R. Steel
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Alexander S. Kechris Donald A. Martin Yiannis N. Moschovakis

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© 1983 Springer-Verlag

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Steel, J.R. (1983). Scales in L(R). In: Kechris, A.S., Martin, D.A., Moschovakis, Y.N. (eds) Cabal Seminar 79–81. Lecture Notes in Mathematics, vol 1019. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0071699

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  • DOI: https://doi.org/10.1007/BFb0071699

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12688-1

  • Online ISBN: 978-3-540-38680-3

  • eBook Packages: Springer Book Archive

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