Skip to main content
Log in

On some variants of the club principle

  • Research Article
  • Published:
European Journal of Mathematics Aims and scope Submit manuscript

Abstract

We study some asymptotic variants of the club principle. Along the way, we construct some forcings and use them to separate several of these principles.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Džamonja, M., Shelah, S.: Similar but not the same: various versions of \(\clubsuit \) do not coincide. J. Symbolic Logic 64(1), 180–198 (1999)

    Article  MathSciNet  Google Scholar 

  2. Juhász, I.: A weakening of \(\clubsuit \), with applications to topology. Comment. Math. Univ. Carolin. 29(4), 767–773 (1988)

    MathSciNet  MATH  Google Scholar 

  3. Kumar, A., Shelah, S.: Clubs on quasi measurable cardinals. MLQ Math. Log. Q. 64(1–2), 44–48 (2018)

    Article  MathSciNet  Google Scholar 

  4. Kumar, A., Shelah, S.: RVM, RVC revisited: Clubs and Lusin sets (submitted)

  5. Kunen, K.: Set Theory. Studies in Logic and the Foundations of Mathematics, vol. 102. North-Holland, Amsterdam (1980)

  6. Ostaszewski, A.J.: On countably compact perfectly normal spaces. J. London Math. Soc. 14(3), 505–516 (1975)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ashutosh Kumar.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

AK supported by a Postdoctoral Fellowship at the Einstein Institute of Mathematics funded by European Research Council grant 338821. SS partially supported by European Research Council grant 338821; Publication no. 1136.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kumar, A., Shelah, S. On some variants of the club principle. European Journal of Mathematics 7, 1–27 (2021). https://doi.org/10.1007/s40879-020-00425-w

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40879-020-00425-w

Keywords

Mathematics Subject Classification

Navigation