Geodesic
Remarks on extremally disconnected semitopological groups
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 343-347

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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.
Classification : 54C05, 54G15, 54H11
Keywords: extremally disconnected and maximal spaces; semitopological group; Stone-Čech compactification 
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Protasov, I. V. Remarks on extremally disconnected semitopological groups. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 343-347. http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a11/