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arXiv · 2507.15123

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

Lorenz Halbeisen·Silvan Horvath·Tan Özalp
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Abstract

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

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Lorenz Halbeisen, Silvan Horvath, Tan Özalp. 2025-07-20. There may be exactly $n$ $Q$-points. https://arxiv.org/abs/2507.15123

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