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Souslin cardinals, κ-souslin sets and the scale property in the hyperprojective hierarchy

Part of the Lecture Notes in Mathematics book series (LNM,volume 839)

Keywords

  • Induction Hypothesis
  • Order Type
  • Scale Property
  • Closure Property
  • Spector Class

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References

  1. H. Becker, Some applications of ordinal games, Ph.D. Thesis, UCLA (1979).

    Google Scholar 

  2. A. S. Kechris, On transfinite sequences of projective sets with an application to ∑ 1∼2 equivalence relations, Logic Colloquium ’77, A. Macintyre, L. Pacholski, J. Paris (Eds.), North-Holland Publishing Co., (1978), 155–160.

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  3. A. S. Kechris, E. M. Kleinberg, Y. N. Moschovakis and H. Woodin, The Axiom of Determinacy, strong partition properties and nonsingular measures, this volume.

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  4. A. S. Kechris, R. M. Solovay and J. R. Steel, The Axiom of Determinacy and the prewellordering property, this volume.

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  5. Y. N. Moschovakis, Determinacy and prewellorderings of the continuum, Math. Logic and Found. of Set Theory, Y. Bar-Hillel ed., North Holland (1970), 24–62.

    Google Scholar 

  6. Y. N. Moschovakis, Elementary Induction on Abstract Structures, North Holland (1974).

    Google Scholar 

  7. Y. N. Moschovakis, Inductive scales on inductive sets, Cabal Seminar 76–77, Lecture Notes in Mathematics, Springer-Verlag, Vol. 689 (1978), 185–192.

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  8. Y. N. Moschovakis, Scales on coinductive sets, mimeographed notes, (1979).

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  9. Y. N. Moschovakis, Descriptive Set Theory, North Holland (1980).

    Google Scholar 

  10. R. M. Solovay, The independence of DC from AD, Cabal Seminar 76–77, Lecture Notes in Mathematics, Springer-Verlag, Vol. 689, (1978), 171–184.

    Google Scholar 

  11. J. R. Steel, Closure properties of pointclasses, this volume.

    Google Scholar 

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© 1981 Springer-Verlag

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Kechris, A.S. (1981). Souslin cardinals, κ-souslin sets and the scale property in the hyperprojective hierarchy. In: Kechris, A.S., Martin, D.A., Moschovakis, Y.N. (eds) Cabal Seminar 77 – 79. Lecture Notes in Mathematics, vol 839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090238

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  • DOI: https://doi.org/10.1007/BFb0090238

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10288-5

  • Online ISBN: 978-3-540-38422-9

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