Skip to main content

Precipitousness of the ideal of thin sets on a measurable cardinal

  • Conference paper
  • First Online:
Logic Symposia Hakone 1979, 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 891))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Baumgartner, A. Taylor, and S. Wagon, On splitting stationary subsets of large cardinals, Jour. Symbolic Logic, Vol 42 (1977), 203–214.

    Article  MathSciNet  MATH  Google Scholar 

  2. T. Jech and K. Prikry, Ideal of sets and power set operation, Bull. Amer. Math. Soc. 82 (1976), 593–595.

    Article  MathSciNet  MATH  Google Scholar 

  3. Y. Kakuda, Saturation of ideals and pseudo-Boolean algebras of ideals of sets, Math. Sem. Notes, Kobe Univ., Vol. 6 (1978), 269–321.

    MathSciNet  MATH  Google Scholar 

  4. Y. Kakuda, On a condition for Cohen extensions which preserve precipitous ideals, Jour. Symbolic Logic, to appear.

    Google Scholar 

  5. K. Kunen, Some application of iterated ultrapowers in set theory, Ann. Math. Logic 1 (1970), 179–227.

    Article  MathSciNet  MATH  Google Scholar 

  6. K. Namba, On the closed unbounded ideals of ordinal numbers, Comment. Math. Univ. St. Pauli, XXII-2 (1973), 33–56.

    MathSciNet  MATH  Google Scholar 

  7. R, M. Solovay, Real-Valued measurable cardinals, Axiomatic set theory (D. Scott Editor), Proceedings of Symposia in Pure Mathematics, Vol. 13, Part I, i971, 397–428.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Gert H. Müller Gaisi Takeuti Tosiyuki Tugué

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Kakuda, Y. (1981). Precipitousness of the ideal of thin sets on a measurable cardinal. In: Müller, G.H., Takeuti, G., Tugué, T. (eds) Logic Symposia Hakone 1979, 1980. Lecture Notes in Mathematics, vol 891. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090978

Download citation

  • DOI: https://doi.org/10.1007/BFb0090978

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11161-0

  • Online ISBN: 978-3-540-38633-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics