A minimal Kurepa line

期刊论文
发表日期：

2025年2月6日

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H. Lamei Ramandi

摘要

We show it is consistent with $ZFC$ $ZFC$ that there is an everywhere Kurepa line which is order isomorphic to all of its dense $\aleph_2$ $ℵ_{2}$ -dense suborders.Moreover, this Kurepa line does not contain any Aronszajn suborder.We also show it is consistent with $ZFC$ $ZFC$ that there is a minimal Kurepa line which does not contain any Aronszajn suborder.