Answering recent question of A.V. Arhangel'skii we construct in ZFC an extremally disconnected semitopological group with continuous inverse having no open Abelian subgroups.
@article{119324, author = {Igor V. Protasov}, title = {Remarks on extremally disconnected semitopological groups}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {43}, year = {2002}, pages = {343-347}, zbl = {1090.54033}, mrnumber = {1922132}, language = {en}, url = {http://dml.mathdoc.fr/item/119324} }
Protasov, Igor V. Remarks on extremally disconnected semitopological groups. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 343-347. http://gdmltest.u-ga.fr/item/119324/
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