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In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present con- text that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups.
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This page is a summary of: Varieties of topological groups, Lie groups and SIN-groups, Colloquium Mathematicum, January 1996, Institute of Mathematics, Polish Academy of Sciences,
DOI: 10.4064/cm-70-2-151-163.
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