Skip to main content

Singular cardinals and analytic games

  • 557 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 669)

Keywords

  • Direct Limit
  • Regular Cardinal
  • Finiteness Property
  • Measurable Cardinal
  • Stationary Subset

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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. L. Bukovský, The continuum problem and the powers of alephs, Comm. Math. Univ. Carolinae 6 (1965), pp. 181–197.

    MathSciNet  MATH  Google Scholar 

  2. K. Devlin and R.B. Jensen, Marginalia to a theorem of Silver, Lecture Notes in Mathematics 499, edited by G.H. Müller and A. Oberschelp. Springer Verlag, 1975.

    Google Scholar 

  3. K. Devlin, Aspects of constructibility, Lecture Notes in Math.

    Google Scholar 

  4. H. Friedman, Determinateness in the low projective hierarchy, Fundamenta Mathematicae 72 (1971), pp. 79–95.

    MathSciNet  MATH  Google Scholar 

  5. M. Magidor, On the singular cardinals prohlem I and II, preprint, 1976.

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  7. D.A. Martin, Borel determinacy, Annals of Mathematics.

    Google Scholar 

  8. J. Mycielski, On the axiom of determinateness, Fundamenta Mathematicae 53 (1964), pp. 205–224.

    MathSciNet  MATH  Google Scholar 

  9. L. Patai, Untersuchungen über die Alephreihe, Mathematische und Naturwiss. Berichte aus Ungarn 37 (1930), pp. 127–142.

    MATH  Google Scholar 

  10. J. Silver, On the singular cardinals problem, Proc. of the Int. Congress of Math. — Vancouver 1974, vol. I, pp. 265–268.

    MathSciNet  Google Scholar 

  11. St. H. Hechler, Powers of singular cardinals and a strong form of the negation of the Generalized Continuum Hypothesis, Zeitschrift für Mathem. Logik und Grundlagen der Mathematik 19 (1973) pp. 83–84.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. A. Lévy, A hierarchy of formulas in set theory, Memoirs of the A.M.S. 57, Providence, 1965.

    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

Srebrny, M. (1978). Singular cardinals and analytic games. In: Müller, G.H., Scott, D.S. (eds) Higher Set Theory. Lecture Notes in Mathematics, vol 669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103111

Download citation

  • DOI: https://doi.org/10.1007/BFb0103111

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08926-1

  • Online ISBN: 978-3-540-35749-0

  • eBook Packages: Springer Book Archive