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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最小库雷柏线

我们证明了与\(ZFC\)一致的是，处处存在一条Kurepa线，该线与其所有致密的\(\aleph_2\) -致密亚目都是序同构的。此外，这条Kurepa线不包含任何Aronszajn亚目。我们还证明了与\(ZFC\)一致的是，存在一个不包含任何Aronszajn亚目的最小Kurepa线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.