| Title:
|
Extending the ideal of nowhere dense subsets of rationals to a P-ideal (English) |
| Author:
|
Filipów, Rafał |
| Author:
|
Mrożek, Nikodem |
| Author:
|
Recław, Ireneusz |
| Author:
|
Szuca, Piotr |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
429-435 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that the ideal of nowhere dense subsets of rationals cannot be extended to an analytic P-ideal, $F_\sigma$ ideal nor maximal P-ideal. We also consider a problem of extendability to a non-meager P-ideals (in particular, to maximal P-ideals). (English) |
| Keyword:
|
P-ideal |
| Keyword:
|
nowhere dense set |
| Keyword:
|
extension |
| Keyword:
|
analytic ideal |
| Keyword:
|
maximal ideal |
| Keyword:
|
meager ideal |
| Keyword:
|
ideal convergence |
| MSC:
|
40A05 |
| MSC:
|
40A35 |
| MSC:
|
54D35 |
| MSC:
|
54D80 |
| MSC:
|
54G10 |
| . |
| Date available:
|
2013-06-29T06:59:35Z |
| Last updated:
|
2015-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143311 |
| . |
| 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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