Bulletin (New Series) of the American Mathematical Society

$AD$ and the very fine structure of $L\left( \mathbb{R} \right)$

Steve Jackson

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc. (N.S.), Volume 21, Number 1 (1989), 77-81.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183555127

Mathematical Reviews number (MathSciNet)
MR980305

Zentralblatt MATH identifier
0691.03036

Subjects
Primary: 03E60: Determinacy principles 03E15: Descriptive set theory [See also 28A05, 54H05]

Citation

Jackson, Steve. $AD$ and the very fine structure of $L\left( \mathbb{R} \right)$. Bull. Amer. Math. Soc. (N.S.) 21 (1989), no. 1, 77--81. https://projecteuclid.org/euclid.bams/1183555127


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References

  • I. S. Jackson, AD and the projective ordinals, Cabal Seminar 81-55, Lecture Notes in Math., vol. 1333, Springer-Verlag, Berlin and New York, pp. 117-220.
  • 2. S. Jackson, A computation of δ15, J. Amer. Math. Soc. (to appear).
  • 3. S. Jackson, A new proof of the strong partition relation on ω1, Trans. Amer. Math. Soc. (to appear).
  • 4. A. S. Kechris, Determinacy and the structure of L(R), Proc. Sympos. Pure Math., vol. 42, Amer. Math. Soc. Providence, R.I., 1985, pp. 271-283.
  • 5. A. S. Kechris, AD and projective ordinals, Cabal Seminar 76-77, Lecture Notes in Math., vol. 689, Springer-Verlag, Berlin and New York, 1978, pp. 91-132.
  • 6. D. A. Martin and J. R. Steel, The extent of scales in L (R), Cabal Seminar 79-81, Lecture Notes in Math., vol 1019, Springer-Verlag, Berlin and New York, 1983, pp. 86-96.
  • 7. Y. N. Moschovakis, Descriptive set theory, North-Holland, Amsterdam, 1980.
  • 8. Y. N. Moschovakis, Scales on coinductive sets, Cabal Seminar 79-81, Lecture Notes in Math., vol. 1019, Springer-Verlag, Berlin and New York, 1983, pp. 77-85.
  • 9. J. R. Steel, Scales in L(R), Cabal Seminar 79-81, Lecture Notes in Math., vol. 1019, Springer-Verlag, Berlin and New York, 1983, pp. 107-156.
  • 10. J. R. Steel, Closure properties of pointclasses, Cabal Seminar 77-79, Lecture Notes in Math., vol. 839, Springer-Verlag, Berlin and New York, 1981, pp. 147-164.
  • 11. Appendix, Cabal Seminar 76-77, Lecture Notes in Math., vol. 689, Springer-Verlag, Berlin and New York, 1978.