The Next Best Thing to a P-Point

@article{Blass2015TheNB,
  title={The Next Best Thing to a P-Point},
  author={Andreas Blass and Natasha Dobrinen and Dilip Raghavan},
  journal={J. Symb. Log.},
  year={2015},
  volume={80},
  pages={866-900}
}
  • Andreas Blass, Natasha Dobrinen, Dilip Raghavan
  • Published in J. Symb. Log. 2015
  • Mathematics, Computer Science
  • We study ultrafilters on $\omega^2$ produced by forcing with the quotient of $\scr P(\omega^2)$ by the Fubini square of the Fr\'echet filter on $\omega$. We show that such an ultrafilter is a weak P-point but not a P-point and that the only non-principal ultrafilters strictly below it in the Rudin-Keisler order are a single isomorphism class of selective ultrafilters. We further show that it enjoys the strongest square-bracket partition relations that are possible for a non-P-point. We show… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Topics from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 12 CITATIONS