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math.LO2025
There may be exactly -points
Lorenz Halbeisen, Silvan Horvath, Tan Özalp
We generalize the main result of arXiv:2505.17960 and show the consistency of the statement ``There are exactly -points up to isomorphism" for any finite . Furthermore, w…
math.LO2025
A unique -point and infinitely many near-coherence classes of ultrafilters
Lorenz Halbeisen, Silvan Horvath, Saharon Shelah
We show that in the model obtained by iteratively pseudo-intersecting a Ramsey ultrafilter via a length- countable support iteration of restricted Mathias forcing over a groun…