欣德曼定理、埃利斯引理与汤普森群 F
组合数学
2018-07-18 v4 动力系统
泛函分析
一般拓扑
群论
逻辑
摘要
本文旨在为非结合二元系统提出欣德曼定理和埃利斯引理的猜想性推广，并将其与汤普森群 F 的可迁性（amenability）问题联系起来。针对这两个猜想均获得了部分结果。文中还将对这些猜想进行一些一般性分析。
引用
@article{arxiv.1106.4735,
title = {Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$},
author = {Justin Tatch Moore},
journal= {arXiv preprint arXiv:1106.4735},
year = {2018}
}
备注
This paper has now appeared but is largely obsolete: Conjectures 1.3 and 1.4 have since been refuted by the author. arXiv admin note: text overlap with arXiv:1209.2063