具有虚 Rokhlin 性质的 2-流形同胚群
几何拓扑
2024-06-25 v3 动力系统
群论
摘要
我们引入并阐明了拓扑群的虚 Rokhlin 性质的定义。随后我们对同胚群具有虚 Rokhlin 性质的 2-流形进行了分类。我们还建立了 2-流形映射类群的相应结果。
关键词
引用
@article{arxiv.2308.13138,
title = {Homeomorphism groups of 2-manifolds with the virtual Rokhlin property},
author = {Justin Lanier and Nicholas G. Vlamis},
journal= {arXiv preprint arXiv:2308.13138},
year = {2024}
}
备注
v3: Incorporated referee's comments, the article has been accepted for publication by the Journal of Topology. v2: Updated discussion in the introduction under geometric consequences; 25 pages, 3 figures