Geodesic
Varieties of topological groups, Lie groups and SIN-groups
Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 151-163.

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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 context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
DOI : 10.4064/cm-70-2-151-163
Keywords: pro-Lie group, varieties of topological groups, IN-group, SIN-group, Lie group

Karl Hofmann 1 ; Sidney Morris 1 ; Markus Stroppel 1

1 
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Karl Hofmann; Sidney Morris; Markus Stroppel. Varieties of topological groups, Lie groups and SIN-groups. Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 151-163. doi : 10.4064/cm-70-2-151-163. http://geodesic.mathdoc.fr/articles/10.4064/cm-70-2-151-163/

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