第一不可数序数的同胚群
群论
2020-12-02 v2 一般拓扑
摘要
我们证明散空间上逐点收敛拓扑与其同胚群的群结构相容。随后我们建立了第一不可数序数之同胚群的若干拓扑性质，如顺从性与 Roelcke-预紧性。
引用
@article{arxiv.1911.09088,
title = {The homeomorphism group of the first uncountable ordinal},
author = {Maxime Gheysens},
journal= {arXiv preprint arXiv:1911.09088},
year = {2020}
}
备注
Second version: various additions to make a bridge with results of the companion paper arXiv:2011.15009 (new paragraph at the end of the introduction, new Remark 11, new paragraphs in Remarks 18 and 20). Also, new Footnote 2 and new Remark 19. Some results have different labelling or shifted numbering in comparison to the first version