Title:
|
On resolvable spaces and groups (English) |
Author:
|
Villegas-Silva, Luis Miguel |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
36 |
Issue:
|
3 |
Year:
|
1995 |
Pages:
|
579-584 |
. |
Category:
|
math |
. |
Summary:
|
It is proved that every uncountable $\omega$-bounded group and every homogeneous space containing a convergent sequence are resolvable. We find some conditions for a topological group topology to be irresolvable and maximal. (English) |
Keyword:
|
resolvable |
Keyword:
|
maximal |
Keyword:
|
$\alpha$-bounded |
MSC:
|
20K45 |
MSC:
|
22A05 |
MSC:
|
54D20 |
MSC:
|
54H11 |
idZBL:
|
Zbl 0837.22001 |
idMR:
|
MR1364498 |
. |
Date available:
|
2009-01-08T18:20:17Z |
Last updated:
|
2012-04-30 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118786 |
. |
Reference:
|
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Reference:
|
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Reference:
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
[CvM] Comfort W.W., Van Mill J.: Groups with only resolvable topologies.preprint, 1993. |
Reference:
|
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Reference:
|
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Reference:
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Reference:
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Reference:
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Reference:
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Reference:
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. |