An uncountable partition contained in the atomless $\sigma $-field
Tom 124 / 2011
Colloquium Mathematicum 124 (2011), 219-223 MSC: Primary 28A05. DOI: 10.4064/cm124-2-6
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.