It was proved in [HM] that each topological group (G,·,τ) may be embedded into a connected topological group (Ĝ,•,τ̂). In fact, two methods of introducing τ̂ were given. In this note we show relations between them.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-1-14, author = {Ryo Ohashi}, title = {Embedding a topological group into a connected group}, journal = {Colloquium Mathematicae}, volume = {107}, year = {2007}, pages = {159-162}, zbl = {1110.54018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-1-14} }
Ryo Ohashi. Embedding a topological group into a connected group. Colloquium Mathematicae, Tome 107 (2007) pp. 159-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-1-14/