Remarks on extremally disconnected semitopological groups

Igor V. Protasov

Commentationes Mathematicae Universitatis Carolinae (2002)

  • Volume: 43, Issue: 2, page 343-347
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Protasov, Igor V.. "Remarks on extremally disconnected semitopological groups." Commentationes Mathematicae Universitatis Carolinae 43.2 (2002): 343-347. <http://eudml.org/doc/248987>.

@article{Protasov2002,
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.},
author = {Protasov, Igor V.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {extremally disconnected and maximal spaces; semitopological group; Stone-Čech compactification; extremally disconnected spaces; semitopological groups},
language = {eng},
number = {2},
pages = {343-347},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on extremally disconnected semitopological groups},
url = {http://eudml.org/doc/248987},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Protasov, Igor V.
TI - Remarks on extremally disconnected semitopological groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2002
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 43
IS - 2
SP - 343
EP - 347
AB - 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.
LA - eng
KW - extremally disconnected and maximal spaces; semitopological group; Stone-Čech compactification; extremally disconnected spaces; semitopological groups
UR - http://eudml.org/doc/248987
ER -

References

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  1. Arhangel'skii A.V., On topological and algebraic properties of extremally disconnected semitopological groups, Comment. Math. Univ. Carolinae 42.4 (2000), 803-810. (2000) MR1800164
  2. Arhangel'skii A.V., Groups topologiques extremalement discontinus, C.R. Acad. Sci. Paris 265 (1967), 822-825. (1967) MR0222207
  3. Hindman N., Strauss D., Algebra in the Stone-Čech Compactification: Theory and Applications, Walter de Gruyter, Berlin, 1998. Zbl0918.22001MR1642231
  4. Protasov I.V., Filters and topologies on semigroups (in Russian), Mat. Stud. 3 (1994), 15-28. (1994) MR1692845
  5. Protasov I.V., Maximal topologies on groups, Siberian Math. J. 39 (1998), 1184-1194. (1998) Zbl0935.22002MR1672661
  6. Protasov I.V., On maximal topologies on groups, Visn. Kyiv. Univ. Ser. Fiz-mat. nauk, no. 3 (1998), 251-253. (1998) MR1672661
  7. Protasov I.V., Indecomposable topologies on groups, Ukrainian Math. J. 50 (1998), 1879-1887. (1998) MR1721072
  8. Protasov I.V., Extremal topologies on groups, Mat. Stud. 15 (2001), 9-22. (2001) Zbl0989.22003MR1871923
  9. Zelenyuk E.G., Extremal ultrafilters and topologies on groups (in Russian), Mat. Stud. 14 (2000), 121-140. (2000) MR1813995

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