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arXiv · 2310.12834

A minimal Kurepa line

Hossein Lamei Ramandi
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Abstract

We show it is consistent with $\ZFC$ that there is an everywhere Kurepa line which is order isomorphic to all of its dense $\aleph_2$-dense suborders. Moreover, this Kurepa line does not contain any Aronszajn suborder. We also show it is consistent with $\ZFC$ that there is a minimal Kurepa line which does not contain any Aronszajn suborder.

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Hossein Lamei Ramandi. 2023-10-19. A minimal Kurepa line. https://arxiv.org/abs/2310.12834

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