| Title:
|
A characterization of the meager ideal (English) |
| Author:
|
Zakrzewski, Piotr |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
45-50 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a classical proof of the theorem stating that the $\sigma $-ideal of meager sets is the unique $\sigma $-ideal on a Polish group, generated by closed sets which is invariant under translations and ergodic. (English) |
| Keyword:
|
Polish group |
| Keyword:
|
$\sigma $-ideal |
| Keyword:
|
meager sets |
| MSC:
|
03E15 |
| MSC:
|
54H05 |
| idZBL:
|
Zbl 06433804 |
| idMR:
|
MR3311576 |
| DOI:
|
10.14712/1213-7243.015.104 |
| . |
| Date available:
|
2015-03-10T17:34:16Z |
| Last updated:
|
2017-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144187 |
| . |
| Reference:
|
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| Reference:
|
[2] Kechris A.S.: Classical Descriptive Set Theory.Graduate Texts in Mathematics, 156, Springer, New York, 1995. Zbl 0819.04002, MR 1321597 |
| Reference:
|
[3] Kechris A.S., Solecki S.: Approximation of analytic by Borel sets and definable countable chain conditions.Israel J. Math. 89 (1995), 343–356. Zbl 0827.54023, MR 1324469, 10.1007/BF02808208 |
| Reference:
|
[4] Recław I., Zakrzewski P.: Fubini properties of ideals.Real Anal. Exchange 25 (1999/00), no. 2, 565–578. Zbl 1016.03050, MR 1778511 |
| Reference:
|
[5] Zapletal J.: Forcing with ideals generated by closed sets.Comment. Math. Univ. Carolin. 43 (2002), no. 1, 181–188. Zbl 1069.03037, MR 1903318 |
| Reference:
|
[6] Zapletal J.: Descriptive Set Theory and Definable Forcing.Mem. Amer. Math. Soc. 167 (2004), no. 793. Zbl 1037.03042, MR 2023448 |
| Reference:
|
[7] Zapletal J.: Forcing Idealized.Cambridge Tracts in Mathematics, 174, Cambridge University Press, Cambridge, 2008. Zbl 1140.03030, MR 2391923 |
| . |
