A characterization of the meager ideal
Commentationes Mathematicae Universitatis Carolinae (2015)
- Volume: 56, Issue: 1, page 45-50
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topZakrzewski, Piotr. "A characterization of the meager ideal." Commentationes Mathematicae Universitatis Carolinae 56.1 (2015): 45-50. <http://eudml.org/doc/269872>.
@article{Zakrzewski2015,
abstract = {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.},
author = {Zakrzewski, Piotr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Polish group; $\sigma $-ideal; meager sets; Polish group; -ideal; meager sets; ergodic},
language = {eng},
number = {1},
pages = {45-50},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A characterization of the meager ideal},
url = {http://eudml.org/doc/269872},
volume = {56},
year = {2015},
}
TY - JOUR
AU - Zakrzewski, Piotr
TI - A characterization of the meager ideal
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2015
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 56
IS - 1
SP - 45
EP - 50
AB - 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.
LA - eng
KW - Polish group; $\sigma $-ideal; meager sets; Polish group; -ideal; meager sets; ergodic
UR - http://eudml.org/doc/269872
ER -
References
top- Balcerzak M., Rogowska D., Making some ideals meager on sets of size of the continuum, Topology Proc. 21 (1996), 1–13. Zbl0888.54028MR1489187
- Kechris A.S., Classical Descriptive Set Theory, Graduate Texts in Mathematics, 156, Springer, New York, 1995. Zbl0819.04002MR1321597
- Kechris A.S., Solecki S., 10.1007/BF02808208, Israel J. Math. 89 (1995), 343–356. Zbl0827.54023MR1324469DOI10.1007/BF02808208
- Recław I., Zakrzewski P., Fubini properties of ideals, Real Anal. Exchange 25 (1999/00), no. 2, 565–578. Zbl1016.03050MR1778511
- Zapletal J., Forcing with ideals generated by closed sets, Comment. Math. Univ. Carolin. 43 (2002), no. 1, 181–188. Zbl1069.03037MR1903318
- Zapletal J., Descriptive Set Theory and Definable Forcing, Mem. Amer. Math. Soc. 167 (2004), no. 793. Zbl1037.03042MR2023448
- Zapletal J., Forcing Idealized, Cambridge Tracts in Mathematics, 174, Cambridge University Press, Cambridge, 2008. Zbl1140.03030MR2391923
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.