Skip to main content

Partially playful universes

Part of the Lecture Notes in Mathematics book series (LNM,volume 689)

Keywords

  • Ground Model
  • Scale Property
  • Winning Strategy
  • Regular Cardinal
  • Measurable Cardinal

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. R. Drake, Set Theory; An Introduction to Large Cardinals, North-Holland, Amsterdam, 1974.

    MATH  Google Scholar 

  2. J. T. Green, Ph.D. Thesis, University of California, Berkeley, to appear.

    Google Scholar 

  3. T. J. Jech, Lectures in Set Theory with Particular Emphasis on the Method of Forcing, Lecture Notes in Math., 217, Springer, Berlin, 1971.

    MATH  Google Scholar 

  4. A. S. Kechris, Ph.D. Thesis, University of California, Los Angeles, 1972.

    Google Scholar 

  5. A. S. Kechris, Measure and category in effective descriptive set theory, Ann. Math. Logic, 5 (1972/73), 337–384.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. A. S. Kechris, The theory of countable analytical sets, Trans. Amer. Math. Soc., 202 (1975), 259–298.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. A. S. Kechris, On a notion of smallness for subsets of the Baire space, Trans. Amer. Math. Soc., 229 (1977), 191–207.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. A. S. Kechris and Y. N. Moschovakis, Notes on the Theory of Scales, Circulated multilithed manuscript, 1971. Reprinted in this volume.

    Google Scholar 

  9. R. Mansfield, Perfect subsets of definable sets of real numbers, Pacific J. Math., 35 (1970), 451–457.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. D. A. Martin, Measurable cardinals and analytic games, Fundamenta Mathematicae, 66 (1970), 287–291.

    MathSciNet  MATH  Google Scholar 

  11. D. A. Martin, Δ 12n determinacy implies Σ 12n determinacy, Circulated notes, 1973.

    Google Scholar 

  12. D. A. Martin, Borel determinacy, Ann. Math., 102 (1975), 363–371.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Y. N. Moschovakis, Determinacy and Prewellorderings of the Continuum, Math. Logic and Foundations of Set Theory (Proc. Internat. Colloq., Jerusalem, 1968), North-Holland, Amsterdam, 1970, 24–62.

    Google Scholar 

  14. Y. N. Moschovakis, Descriptive Set Theory, to appear.

    Google Scholar 

  15. J. C. Oxtoby, Measure and Category, Springer, New York, 1971.

    CrossRef  MATH  Google Scholar 

  16. J. R. Shoenfield, Mathematical Logic, Addison-Wesley, Reading, Mass., 1961.

    MATH  Google Scholar 

  17. R. M. Solovay, On the Cardinality of Σ 12 sets of reals, Foundations of Mathematics, Symposium papers commemorating the 60th birthday of Kurt Gödel, Springer-Verlag, 1966, 58–73.

    Google Scholar 

  18. R. M. Solovay, Measurable Cardinals and the Axiom of Determinateness, Lecture notes prepared in connection with the Summer Institute on Axiomatic Set Theory held at UCLA, Summer, 1967.

    Google Scholar 

  19. R. M. Solovay, A model of set theory in which every set is Lebesgue measurable, Ann. Math., 92 (1970), 1–56.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Becker, H. (1978). Partially playful universes. In: Kechris, A.S., Moschovakis, Y.N. (eds) Cabal Seminar 76–77. Lecture Notes in Mathematics, vol 689. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069295

Download citation

  • DOI: https://doi.org/10.1007/BFb0069295

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09086-1

  • Online ISBN: 978-3-540-35626-4

  • eBook Packages: Springer Book Archive