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
@article{bwmeta1.element.bwnjournal-article-cmv70i2p151bwm, author = {Karl Hofmann and Sidney Morris and Markus Stroppel}, title = {Varieties of topological groups, Lie groups and SIN-groups}, journal = {Colloquium Mathematicae}, volume = {70}, year = {1996}, pages = {151-163}, zbl = {0853.22001}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv70i2p151bwm} }
Hofmann, Karl; Morris, Sidney; Stroppel, Markus. Varieties of topological groups, Lie groups and SIN-groups. Colloquium Mathematicae, Tome 70 (1996) pp. 151-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv70i2p151bwm/
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