| Title:
|
Strong reflexivity of Abelian groups (English) |
| Author:
|
Bruguera, Montserrat |
| Author:
|
Chasco, María Jesús |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
213-224 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A reflexive topological group $G$ is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group $G$ and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive. (English) |
| Keyword:
|
Pontryagin duality theorem |
| Keyword:
|
dual group |
| Keyword:
|
convergence group |
| Keyword:
|
continuous convergence |
| Keyword:
|
reflexive group |
| Keyword:
|
strong reflexive group |
| Keyword:
|
k-space |
| Keyword:
|
Čech complete group |
| Keyword:
|
k-group |
| MSC:
|
20K45 |
| MSC:
|
22A05 |
| MSC:
|
46A16 |
| MSC:
|
46A99 |
| idZBL:
|
Zbl 1079.22500 |
| idMR:
|
MR1814647 |
| . |
| Date available:
|
2009-09-24T10:41:41Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127641 |
| . |
| 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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| 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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| . |
