| Title:
|
Weak continuity properties of topologized groups (English) |
| Author:
|
Cao, J. |
| Author:
|
Drozdowski, R. |
| Author:
|
Piotrowski, Z. |
| Language:
|
English |
| Journal:
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Czechoslovak Mathematical Journal |
| ISSN:
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0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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60 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
133-148 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if $(G, \cdot ,\tau )$ is a regular right (left) semitopological group with $\mathop{{\rm dev}}(G)<\mathop{{\rm Nov}}(G)$ such that all left (right) translations are feebly continuous, then $(G,\cdot ,\tau )$ is a topological group. This extends several results in literature. (English) |
| Keyword:
|
developability number |
| Keyword:
|
feebly continuous |
| Keyword:
|
nearly continuous |
| Keyword:
|
Novak number |
| Keyword:
|
paratopological group |
| Keyword:
|
semitopological group |
| Keyword:
|
topological group |
| MSC:
|
22A05 |
| MSC:
|
54C08 |
| MSC:
|
54E52 |
| MSC:
|
54H11 |
| idZBL:
|
Zbl 1224.54079 |
| idMR:
|
MR2595078 |
| . |
| Date available:
|
2010-07-20T16:22:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140557 |
| . |
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