Generic torsion-free groups and Rubin actions

IF 0.8 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2026-05-01 Epub Date: 2025-12-05 DOI:10.1016/j.apal.2025.103704

Thomas Koberda, Yash Lodha

引用次数: 0

Abstract

We use model theoretic forcing to prove that a generic countable torsion-free group does not admit any non-trivial locally moving action on a Hausdorff topological space, and yet admits a rich Rubin poset.

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一般无扭群和鲁宾作用

利用模型论强迫证明了一般可数无扭群在Hausdorff拓扑空间上不存在任何非平凡的局部运动，但却存在一个丰富的Rubin偏序集。

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

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.