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ArticleOriginal scientific text

Title

Varieties of topological groups, Lie groups and SIN-groups

Authors 1, 2, 1

Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7, D-64289 Darmstadt, Germany
  2. Faculty of Informatics, University of Wollongong, Wollongong, NSW 2522, Australia

Abstract

In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups

Keywords

ENG
pro-Lie group, varieties of topological groups, IN-group, SIN-group, Lie group

Bibliography

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Colloquium Mathematicum
1996/70/2
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Pages:
151-163
Main language of publication
English
Received
1994-08-04
Accepted
1995-02-28
Published
1996
Exact and natural sciences