arXiv:math/0106105 Abstract

arXiv:math/0106105 [math.GN]Abstract References Reviews Resources

Topological groups with several disconnectedness

Published 2001-06-13Version 1

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.

Comments: 12 pages

Categories: math.GN

Subjects: 22A05

Keywords: topological groups, disconnectedness, properties, universal groups

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