I.V. Protasov
Remarks on extremally disconnected semitopological groups

Comment.Math.Univ.Carolinae 43,2 (2002) 343-347.

Abstract: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.

Keywords: extremally disconnected and maximal spaces, semitopological group, Stone-\v Cech compactification
AMS Subject Classification: Primary 54H11; Secondary 54C05, 54G15