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

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Cabal Seminar 77 – 79

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

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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.

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

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  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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Alexander S. Kechris Donald A. Martin Yiannis N. Moschovakis

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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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  • Print ISBN: 978-3-540-10288-5

  • Online ISBN: 978-3-540-38422-9

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