An uncountable partition contained in the atomless $\sigma $-field
Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 219-223.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This short note considers the question of whether every atomless $\sigma $-field contains an uncountable partition. The paper comments the situation for a couple of known $\sigma $-fields. A negative answer to the question is the main result.
DOI : 10.4064/cm124-2-6
Keywords: short note considers question whether every atomless sigma field contains uncountable partition paper comments situation couple known sigma fields negative answer question main result

Radosław Drabiński 1

1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
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Radosław Drabiński. An uncountable partition contained
 in the atomless $\sigma $-field. Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 219-223. doi : 10.4064/cm124-2-6. http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-6/

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