Topological groups with several disconnectedness
一般拓扑
2007-05-23 v1
摘要
We investigate some properties of topological groups related to disconnectedness or Archimedeanness. We prove or disprove the preservation of those under operations as subgroups, quotients, products, etc. Characterizations of non-Archimedeanness are obtained by using embedding into universal groups. We also clarify the differences between the properties by constructing miscellaneous Polish groups.
引用
@article{arxiv.math/0106105,
title = {Topological groups with several disconnectedness},
author = {Masasi Higasikawa},
journal= {arXiv preprint arXiv:math/0106105},
year = {2007}
}
备注
12 pages