English

There may be exactly $n$ $Q$-points

Logic 2025-07-22 v1

Abstract

We generalize the main result of arXiv:2505.17960 and show the consistency of the statement ``There are exactly nn QQ-points up to isomorphism" for any finite nn. Furthermore, we show that the above statement for n=2n=2 can alternatively be obtained by a length-ω2\omega_2 countable support iteration of Matet-Mathias forcing restricted to a Matet-adequate family.

Keywords

Cite

@article{arxiv.2507.15123,
  title  = {There may be exactly $n$ $Q$-points},
  author = {Lorenz Halbeisen and Silvan Horvath and Tan Özalp},
  journal= {arXiv preprint arXiv:2507.15123},
  year   = {2025}
}
R2 v1 2026-07-01T04:10:15.796Z