Topological groups with several disconnectedness
General Topology
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0106105,
title = {Topological groups with several disconnectedness},
author = {Masasi Higasikawa},
journal= {arXiv preprint arXiv:math/0106105},
year = {2007}
}
Comments
12 pages