| Title:
|
$M$-mappings make their images less cellular (English) |
| Author:
|
Tkačenko, Michael G. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
553-563 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider $M$-mappings which include continuous mappings of spaces onto topological groups and continuous mappings of topological groups elsewhere. It is proved that if a space $X$ is an image of a product of Lindelöf $\Sigma$-spaces under an $M$-mapping then every regular uncountable cardinal is a weak precaliber for $X$, and hence $ X$ has the Souslin property. An image $X$ of a Lindelöf space under an $M$-mapping satisfies $cel_{\omega}X\le2^{\omega}$. Every $M$-mapping takes a $\Sigma(\aleph_0)$-space to an $\aleph_0$-cellular space. In each of these results, the cellularity of the domain of an $M$-mapping can be arbitrarily large. (English) |
| Keyword:
|
$M$-mapping |
| Keyword:
|
topological group |
| Keyword:
|
Maltsev space |
| Keyword:
|
$\aleph_0$-cellularity |
| MSC:
|
54A25 |
| MSC:
|
54C99 |
| MSC:
|
54H11 |
| idZBL:
|
Zbl 0840.54002 |
| idMR:
|
MR1307283 |
| . |
| Date available:
|
2009-01-08T18:13:19Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118696 |
| . |
| 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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| . |
