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Varieties of topological groups, Lie groups and SIN-groups

Karl Hofmann, Sidney Morris, Markus Stroppel (1996)

Colloquium Mathematicae

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

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