| Title:
|
A note on the intersection ideal $\mathcal M\cap \mathcal N$ (English) |
| Author:
|
Weiss, Tomasz |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
437-445 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove among other theorems that it is consistent with $ZFC$ that there exists a set $X\subseteq 2^\omega$ which is not meager additive, yet it satisfies the following property: for each $F_\sigma$ measure zero set $F$, $X+F$ belongs to the intersection ideal $\mathcal M\cap \mathcal N$. (English) |
| Keyword:
|
$F_\sigma$ measure zero sets |
| Keyword:
|
intersection ideal $\mathcal M\cap \mathcal N$ |
| Keyword:
|
meager additive sets |
| Keyword:
|
sets perfectly meager in the transitive sense |
| Keyword:
|
$\gamma$-sets |
| MSC:
|
03E05 |
| MSC:
|
03E17 |
| . |
| Date available:
|
2013-06-29T07:01:12Z |
| Last updated:
|
2015-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143312 |
| . |
| 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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| . |
