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.
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
Affiliations des auteurs :
Radosław Drabiński 1
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author = {Rados{\l}aw Drabi\'nski},
title = {An uncountable partition contained
in the atomless $\sigma $-field},
journal = {Colloquium Mathematicum},
pages = {219--223},
publisher = {mathdoc},
volume = {124},
number = {2},
year = {2011},
doi = {10.4064/cm124-2-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-6/}
}
TY - JOUR AU - Radosław Drabiński TI - An uncountable partition contained in the atomless $\sigma $-field JO - Colloquium Mathematicum PY - 2011 SP - 219 EP - 223 VL - 124 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-6/ DO - 10.4064/cm124-2-6 LA - en ID - 10_4064_cm124_2_6 ER -
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
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