A minimal Kurepa line

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2025-02-06 DOI:10.1007/s10474-025-01509-3

H. Lamei Ramandi

引用次数: 0

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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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.