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.
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
Keywords: extremally disconnected and maximal spaces; semitopological group; Stone-Čech compactification
@article{CMUC_2002_43_2_a11,
author = {Protasov, I. V.},
title = {Remarks on extremally disconnected semitopological groups},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {343--347},
year = {2002},
volume = {43},
number = {2},
mrnumber = {1922132},
zbl = {1090.54033},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2002_43_2_a11/}
}
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/