| Title:
|
Remarks on extremally disconnected semitopological groups (English) |
| Author:
|
Protasov, I. V. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
343-347 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
extremally disconnected and maximal spaces |
| Keyword:
|
semitopological group |
| Keyword:
|
Stone-Čech compactification |
| MSC:
|
54C05 |
| MSC:
|
54G15 |
| MSC:
|
54H11 |
| idZBL:
|
Zbl 1090.54033 |
| idMR:
|
MR1922132 |
| . |
| Date available:
|
2009-01-08T19:22:32Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119324 |
| . |
| Reference:
|
[1] Arhangel'skii A.V.: On topological and algebraic properties of extremally disconnected semitopological groups.Comment. Math. Univ. Carolinae 42.4 (2000), 803-810. MR 1800164 |
| Reference:
|
[2] Arhangel'skii A.V.: Groups topologiques extremalement discontinus.C.R. Acad. Sci. Paris 265 (1967), 822-825. MR 0222207 |
| Reference:
|
[3] Hindman N., Strauss D.: Algebra in the Stone-Čech Compactification: Theory and Applications.Walter de Gruyter, Berlin, 1998. Zbl 0918.22001, MR 1642231 |
| Reference:
|
[4] Protasov I.V.: Filters and topologies on semigroups (in Russian).Mat. Stud. 3 (1994), 15-28. MR 1692845 |
| Reference:
|
[5] Protasov I.V.: Maximal topologies on groups.Siberian Math. J. 39 (1998), 1184-1194. Zbl 0935.22002, MR 1672661 |
| Reference:
|
[6] Protasov I.V.: On maximal topologies on groups.Visn. Kyiv. Univ. Ser. Fiz-mat. nauk, no. 3 (1998), 251-253. MR 1672661 |
| Reference:
|
[7] Protasov I.V.: Indecomposable topologies on groups.Ukrainian Math. J. 50 (1998), 1879-1887. MR 1721072 |
| Reference:
|
[8] Protasov I.V.: Extremal topologies on groups.Mat. Stud. 15 (2001), 9-22. Zbl 0989.22003, MR 1871923 |
| Reference:
|
[9] Zelenyuk E.G.: Extremal ultrafilters and topologies on groups (in Russian).Mat. Stud. 14 (2000), 121-140. MR 1813995 |
| . |
