关于Homeo(I)的稠密子群
群论
2026-04-14 v2 动力系统
几何拓扑
摘要
我们证明了 的稠密子群不是初等可解的。我们还证明了拓扑群 不满足生成元稳定性性质，此外， 的任何有限生成子群在其中都有一个忠实的离散表示。在最后一节，我们证明了有限生成的稠密子群具有无限周长。
引用
@article{arxiv.1312.1654,
title = {On Dense Subgroups of Homeo(I)},
author = {Azer Akhmedov},
journal= {arXiv preprint arXiv:1312.1654},
year = {2026}
}
备注
This is the version that has existed in author's webpage since 2014 with a further modification/addition in the last section to extend the result (by a short argument) to all compact manifolds