| Title:
|
Condensations of Tychonoff universal topological algebras (English) |
| Author:
|
Hernández, Constancio |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
529-533 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(L,\Cal T)$ be a Tychonoff (regular) paratopological group or algebra over a field or ring $K$ or a topological semigroup. If $\operatorname{nw}(L,\Cal T)\leq \tau$ and $\operatorname{nw}(K)\leq\tau $, then there exists a Tychonoff (regular) topology $\Cal T^*\subseteq \Cal T$ such that $w(L,\Cal T^*)\leq\tau$ and $(L,\Cal T^*)$ is a paratopological group, algebra over $K$ or a topological semigroup respectively. (English) |
| Keyword:
|
universal algebra |
| Keyword:
|
paratopological group |
| Keyword:
|
topological group |
| MSC:
|
22A05 |
| MSC:
|
22D05 |
| MSC:
|
54C50 |
| MSC:
|
54H11 |
| idZBL:
|
Zbl 1053.54044 |
| idMR:
|
MR1860241 |
| . |
| Date available:
|
2009-01-08T19:15:39Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119267 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[5] Shakhmatov D.B.: Condensation of universal topological algebras that preserve continuity of operations and decrease weight.Vestnik Mosk. Univ. 39 (1984), 42-45. MR 0741161 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[8] Tkačenko M.G.: Subgroups, quotient groups and products of $\Bbb R$-factorizable groups.Topology Proc. 16 (1991), 201-231. MR 1206464 |
| . |
