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Topological groups with several disconnectedness

Masasi Higasikawa
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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.

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Masasi Higasikawa. 2001-06-13. Topological groups with several disconnectedness. https://arxiv.org/abs/math/0106105

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