There may be exactly n Q-points

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-ω2 countable support iteration of Matet-Mathias forcing restricted to a Matet-adequate family.

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